diff --git "a/data/dm_maths/full_data_1/10950_11255.jsonl" "b/data/dm_maths/full_data_1/10950_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10950_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -57*y + 61*y + 3600 = 44*y. What is the lowest common multiple of 98 and y?\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326249 is divided by 4372?\nAnswer: 2721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250*q = -186*q + 64. Is q less than -1\/34281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390 is divided by 50.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77760751?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6405 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, e: 1, u: 2, t: 4, h: 3}. What is prob of picking 1 u, 2 a, and 1 h?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 46\/8 + 1\/4. Let l(a) = -42*a + 19*a + 22*a + 4 + 12. What is the tens digit of l(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1978*c + 7173 - 2419 - 2378 - 2376.\nAnswer: 1978*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 347*q + 28. Let m be s(32). Suppose -2*t - 12437 = -3*v, 2*v - m = 3*t - 2834. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-1)\/(-2)*-2*2\/4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t - 46 = -5*z, 5*z = -3*t + 49. Does 7 divide (7 - 150\/z)\/(2\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/135)\/(1\/10*(-6)\/(-6))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 363*t**2 - 680*t**2 + 319*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/12)\/((-2)\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30.335 - 0.765. Let t = -39 - g. Let a = t + 9.26. What is a rounded to 1 decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38465 is divided by 9610?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 305 + -260. Put n, -2, 5 in ascending order.\nAnswer: -2, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 355, 357, 359, 361?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2330 + (3\/4)\/((-5)\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3681 + 23169 = 1624*f for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 40. Let c = -25.52655237 + 0.52651137. Let t = l + c. Round t to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/19, 0.5, -64, -1\/44, 0, -33?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -3, -1\/5.\nAnswer: -45, -3, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84472.53 meters to millimeters.\nAnswer: 84472530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 7*t**2 - 7*t - 4. Let l be n(-6). Suppose -l*j = -5*d + 4, 5*d - j = 3 - 1. Suppose 3*q - q + 4*w - 34 = d, 3*q - 35 = 2*w. Does 10 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hss when three letters picked without replacement from {s: 2, q: 2, h: 5}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 8*y**3 - 4*y**2 - 6*y - 1. Let g be l(-4). Let a be (2*-4)\/(8\/296). Let h = a - g. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6401, 6413, 6431, 6455, 6485, 6521, 6563?\n\"Answer: 3*d**2 + 3*d + 6395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/5 and 62\/(-54) - (10 - 13).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102 + 5*d**3 + 87 - 189 - 9*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -137*b**2 - 26*b**2 - 49*b**2 + 0 - 6 + 3 to the form u*b**2 + n + k*b and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 253*q + 21*q + 73*q + 64*q to the form d*q + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -10. Let v be ((-56)\/(-12)*3)\/(5 + -3). Solve -l*r = -v - 9 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-1) + 9\/(-15). Suppose 478*z - 476*z + 2*a + 112 = 0, -12*z - 434 = -5*a. What is the third smallest value in z, -5, 3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2126 is divided by 48?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/72 and 167\/504.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58 - 23. Let y = -75.36 - h. What is y rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 3767*g**2 + 18 + 6*g - 12 + 3771*g**2 + 5*g.\nAnswer: 4*g**2 + 11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 19. Let y(l) = 10*l**3 + 8*l**2 - 6*l. Let c(h) = h**3 + h**2 - h. Let s be ((-2)\/(-8))\/(26\/104). Determine r*c(w) + s*y(w).\nAnswer: 4*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -7*j + 3. Let k(c) be the third derivative of 11*c**6\/120 + c**5\/60 - c**4\/24 + c**3\/6 + 2*c**2. Is 12 a factor of k(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 272*o**2*w - 2*o**2 + 2*o*w - 17*o - 141273*w wrt o.\nAnswer: 544*o*w - 4*o + 2*w - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = -l. Suppose 27 = l*q - 2*p, 61 = 5*q + 3*p - p. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207*h**3 + 100*h**3 + 114*h**3.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (0 - 1) + (-44 - (55 + -129))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 1 - (-20 - -22 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 158513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 354 divided by 73663\nAnswer: 354\/73663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (2 - -10) - (-1 + -5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.6 - 0.4. What is the nearest to -3 in 4\/5, -2\/15, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 5:06 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7021 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ma when two letters picked without replacement from {a: 1, m: 2, w: 1, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/6190 and 97\/1238.\nAnswer: 6190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 643370 divided by 1274.\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -9*l**2 - 83*l + 1012. Give w(16).\nAnswer: -2620","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0.35 (c) -0.1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 450739279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.155 - -6.155. Put -5960, d, 4 in ascending order.\nAnswer: -5960, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - (-33)\/(-15) - 0)*0. Suppose -4*s + 55 = 5*h, 4*h - 2*s - 44 = -c*h. What is the least common multiple of 2 and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 848595 is divided by 4849?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6816, 14879, 24204, 34797, 46664?\nAnswer: 59811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*y - 3 + 3)*(1 + 0 - 2)*(7 - 13 + 2) to the form l + g*y and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55659314.\nAnswer: 2, 71, 391967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-5)\/m**(-4\/3) assuming m is positive.\nAnswer: m**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*z - 70 + 27*z + 0*z**2 - 49*z + z**2 as c*z + j*z**2 + t and give t.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1248 and -0.1.\nAnswer: 1247.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13014357*k**4 + 22507152*k?\nAnswer: -156172284*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-12*(1\/3)\/1).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -87*r - 56. Let p = 225 - 242. Is o(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18975 divided by 3688\nAnswer: 18975\/3688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38147818.009 - -38183362. Let c = x - 35567. Let z = -22.9 - c. What is z rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 18*u**2 - 2589*u - 434. Determine v(144).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*a - 5*i - 320 = 73*a, 5*a + 320 = -5*i for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, e: 2, q: 1}. Give prob of sequence qeq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - p - 15 = -5*f, f - 15 = -p. Let a be 3 + (2\/4*3 - (-18)\/(-36)). Solve 9*k = a*k - p for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*j = -13, 3*u + 2*j - 17 = -3*j. Suppose 2*q - 102 = 4*q. Let h = -25 - q. Calculate the remainder when h is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 s, and 1 d when three letters picked without replacement from sdossyyoor?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2 + 109*f - 154. Let j be b(53). Let c(d) = 2*d**2 + d - 1. Let p be c(1). Suppose -h = p*h + 87. Sort j, h, -3 in descending order.\nAnswer: j, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 2*x - 10. Give y(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d**2. Let h(b) = -935*b. What is u(h(p))?\nAnswer: -3496900*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, n: 1, y: 1}. What is prob of sequence np?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 422 - 389. Find the second derivative of -195*n - z*n**5 + 133*n - n**5 wrt n.\nAnswer: -680*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**3 - 6*b**2. Let i(j) = -3*j**3 - 9*j**2 - 47*j + 35. Let p(v) = i(v) + 2*x(v). What is p(23)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 27, 133, 317, 579?\n\"Answer: 39*h**2 - 11*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142479.\nAnswer: 3, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2037 = -12*b + 5031. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*w**2 + 54*w**2 - 14*w**3)*(9 + 9 - 4)*(0 + 4 - 2).\nAnswer: -392*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minus -130181?\nAnswer: 130329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 8*l**2 + 15*l + 2. Give n(7).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 776.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 379234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34966 is divided by 70?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + (-117 - (-113 - -72)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**5 + 3932*r**4 + 1766012*r**3 - 166802352*r**2 + 328290930*r - 163258524 = 0. What is r?\nAnswer: -1023, 1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/5, -0.2, 11865, 2 in decreasing order.\nAnswer: 11865, 2, 6\/5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-6 - -9)) + (-1 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11 (b) -17 (c) 440\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 1, 2\/11, -203, 0.05?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, -50, -565388.\nAnswer: -565388, -50, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 298493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 2. Let l be s(7). Let k be (3\/l - 1)*-3. Let q be 12\/(-56) - k\/7. Is 0 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + a + 426 - 1698, -3*v - 4*a = -753. What is the greatest common divisor of v and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3658952.05068 + -3660379. Let o = f - -1427. Let h = 0.051 - o. What is h rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 17*p - 52 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uspsppsmffy. What is prob of picking 1 s and 1 y?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3772 is divided by 811.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 + -3.4. Let l = 6 - 9. Let i = l + 3.5. Which is the biggest value? (a) i (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d - 4. Let p be j(7). Let k = 102 + -102. Let g(a) = 3*a**2 + 6. Let n be g(k). Put p, n, -5 in decreasing order.\nAnswer: n, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 7*o = -70. Let u = 1\/469 + -34721\/7035. What is the common denominator of 16 + (-1 - o\/15) and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95479.99 milligrams in tonnes?\nAnswer: 0.00009547999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*n - 13. Let s = -66 - -68. Let p(m) = 2*m**3 - 4*m**2 + 4*m - 2. Let t be p(2). Solve 2 = -4*l + n*x + t, -3*l - 2*x = s for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f - 4. Suppose -5 = -2*o - 3*o, 4*h + 15 = -5*o. Let d(r) = 4*r - 7. Let n = 4 + -1. Calculate h*x(v) + n*d(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 137, 340, 635, 1028, 1525?\nAnswer: 2132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (3 + (0 - 4)). Suppose u*y - 5 = -41. Let c be -1 - y\/(4 + -1). Calculate the greatest common factor of 8 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68\/133 - 26461\/532. Let c = -50 - r. Let v = 0.1 + 0. Which is smaller: c or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/10 - (-215)\/25. Let u = -10815.9 - -10816. Which is the biggest value? (a) u (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, w: 1, k: 5}. What is prob of picking 1 v and 1 k?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*v + 143*v = -55626. Is 73 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-72)\/(-20) + (-4)\/(-10). Let g = 1 + f. Suppose 1187 = 5*v + 4*w, g*v = -5*w + 188 + 1002. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/n**(-1))\/n)\/n)**5\/(n**9\/(n*n\/((n*n**(3\/2))\/n))))**(-3\/17) assuming n is positive.\nAnswer: n**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(6\/(-8)) - -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -132.8508991 - -132.9109. Let l = 0.1 - 0.04. Let h = q - l. Round h to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54453 is divided by 1362.\nAnswer: 1335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24518 and 48261018?\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**2 - 18*m - 28 = 0.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 15 = 4*q. Let p = 11 + -7. Let j = 233 + -228. What is the closest to 3 in j, q, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -bda2d + -1?\nAnswer: -bda2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -457.18285 and -4?\nAnswer: 453.18285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**3 + 4*t**3 + 0*t**3 + 0*t**3 - 2*t**3 - t**3 + (-5 - t + 5)*(2*t**2 + 0 + 0).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22251 and 274.\nAnswer: 6096774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h - 17. Let m(w) = 4*w - 17. Let y be m(7). Let j be o(y). What is the greatest common divisor of 144 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 116.2 - 6.2. Let x = 110.04 - j. Put x, 0.1, 0.4 in ascending order.\nAnswer: x, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 6*k + 4. What is x(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1063*a - 22 = -1065*a. Solve -2*d - 3*d - 20 = 0, 3*i - d = -a for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5200 and 13717925?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410*g - 388*g - 46750 = 0. What is the greatest common factor of g and 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*c = -0*c + 9, 0 = c + 3. Solve 0 = h - 2*r + m, 0*h - 4*r + 9 = -h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 5:16 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -90. Suppose -2*d + 4*b = -q, 0 = 5*d - 2*b - 254 + 27. Suppose -19 = -j + 3*l, -5*j + l - d = -184. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37)\/333 - 1635\/(-135)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a + 10. Let o be k(9). What is the units digit of (-2)\/o - (-358)\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and 680?\nAnswer: 7480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*z - 6*z - 2*z)*(-3 + 5 - 1)*(1 + 3 - 2) + 4*z - 5*z + 2*z in the form x*z + g and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -4*j - 55. Let r = j + -9. Solve r*u = 2, 2*u = -l + 4*u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3313122 (base 4) to base 16\nAnswer: -3dda","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -b**5\/12 - b**4\/12 + 53*b**2 + 2*b. Let w(y) be the first derivative of 14*y**3\/3 + 3*y**2 + 1. Give 8*c(a) + 3*w(a).\nAnswer: 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/1 + 6 + -53. Let m = b - -103. Calculate the highest common divisor of 36 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -41, -24, -1.339 in descending order.\nAnswer: -2\/7, -1.339, -24, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 5*y**4 + 2355*y**3 + 7035*y**2 + 7025*y + 2340 = 0.\nAnswer: -468, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 81570030 divided by -16314006?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, t: 1, s: 3, z: 6, a: 5, o: 2}. What is prob of picking 1 t, 1 z, and 1 s?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 671 = -91*n - 967 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.22157 nanograms to micrograms.\nAnswer: 0.08822157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 25 divided by -118\nAnswer: -25\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -5*c - 126, 20892*x = 20889*x + 5*c + 114 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 - 1 - (-90 + (156 - 68))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 16*l**2 - 21*l + 3. What is the remainder when r(-17) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107, -214, -377, -602, -895, -1262, -1709?\nAnswer: -2242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 16*j**2 - 20*j + 121. Is l(7) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 106 - 102. Suppose 5*p + 313 = 2*n, -2*n + 348 = -2*p + k*p. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52029\/5 + -10405. Factor 72\/5 - 22\/5*c**2 + 24\/5*c - r*c**3 + 2\/5*c**4.\nAnswer: 2*(c - 3)**2*(c + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1427 is divided by 207?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 260 + -246. Let c be ((-1)\/(-1))\/(1\/35). What is the highest common divisor of o and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8620 - -675620. Round j to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**4\/6 - 2*l**3\/3 + 3*l**2\/2 - 5*l. Let z be b(2). Solve -v + z = -0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shs when three letters picked without replacement from {s: 1, h: 1, c: 2, l: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -2*p + 24, 0 = -5*y + 8*y - 15. Let i(t) be the second derivative of 0*t**p + 2*t**4 + 0 - 1\/5*t**5 + 0*t**3 - 6*t. Factor i(s).\nAnswer: -4*s**2*(s - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477 a factor of 2905259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 24 = -s + 10*y - 31, s - 2*y + 2 = 0 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9312427*q*v**3 + 3128*q*v**2 + 490*v**2 wrt v?\nAnswer: 55874562*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(110) + sqrt(110)*-1 + sqrt(110)) + sqrt(110) + sqrt(110))\/(sqrt(160)*1).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 31*o**2 - o + 2. Let c be i(2). Suppose 4*h - c = 2*g + 2*h, h - 125 = 2*g. Is g\/(-15)*-1*-5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 60103276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of 1359*g**5\/20 + 317*g**4\/12 + 236*g. What is the third derivative of i(d) wrt d?\nAnswer: 8154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**6\/180 + 11*t**5\/90 - 23*t**4\/18 - 56*t**3\/9 - 17*t**2 - 11*t. Solve d(h) = 0.\nAnswer: -14, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 19*x**2 + 165*x + 224. Give z(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/11)*(i*i**1*i)\/i)\/((i\/i**(5\/4))\/(i\/(i*i**(-1)*i)))*i**(-4\/5)*i**(-3)*i**(2\/5)\/(i*i**4\/i*i) assuming i is positive.\nAnswer: i**(-1393\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/20 in 0, -1\/3, 174, 3, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1463, 2873, 4283, 5693?\nAnswer: 7103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34324005239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 8*n + 8. Suppose -3*h + 104 = n*h + 3*z, 5*h = -z + 108. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxyxexfyy. What is prob of sequence xx?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 21, -304.4, 0, -0.4?\nAnswer: -304.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 27911*m - 28341*m + 32.\nAnswer: -430*m + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 25*l. Let x be j(1). Let u = x + -15. Which is bigger: u or 9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**2 + 10*i - 10*i + 77*i**2 - 4*i**2 - 11*i**2 - i**2 - 4 + 4 + (0 - 4 + 2)*(-2*i**2 + 0*i**2 + 4*i**2) - i**2 + 3*i**2 - 5*i**2.\nAnswer: 49*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 l when two letters picked without replacement from lqqllwqlwwlwll?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 640.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**3 + 2*i**2 - 3*i + 7590. Let u(l) = l**2 - l + 1. Determine -3*u(t) - y(t).\nAnswer: -6*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 3*u + 12, -2*n - 28 = -5*u - 8. Which is bigger: 4\/33 or n?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*c - c. Suppose 4*i - 3*q - 43 = 0, -3*q = c*i - 3*i - 27. What is the least common multiple of (66\/(-9))\/(2\/(-6)) and i?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -14.5. Let c = -8 + m. Let n = -9332 - -9336. What is the second smallest value in n, 2\/5, c, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -243, -534, -953, -1506, -2199, -3038, -4029?\nAnswer: -5178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + 12 + -14 + 37.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 - 2*n**2 + 7*n**2)*(-1 + n**3 + 1) + (-4*n**5 - 2*n**5 + 5*n**5)*(0 - 1 + 0) + 2*n**5 + 2*n**5 - n**5 + 167*n + n**5 + 2*n**5 - 151*n.\nAnswer: 9*n**5 + 16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 11:41 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*d - 30*d - 151*d in the form u*d + i and give u.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -122.9 and -454789.\nAnswer: -454911.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -8*o - 1 + 16*o + 2*o**2 - 5*o**3 - 2*o. Let u be r(3). Let l be (-60)\/u*(-2)\/(-3). Which is the third biggest value? (a) 0.5 (b) l (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2053, 4145, 6393, 8875, 11669, 14853, 18505?\nAnswer: 22703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 94685.05 milligrams in nanograms?\nAnswer: 94685050000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12781 is divided by 6259.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-4*(2 + sqrt(208)) - -1*(1*sqrt(208) + 0 - sqrt(208)))**2.\nAnswer: 6400*sqrt(13) + 84800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1689 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 6:26 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, t: 1, c: 3}. Give prob of sequence zcct.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9 + 4\/(-14) + (-858)\/231. Solve -3*p = -c + 2, 9 = -4*c + b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(2\/31))\/a)\/a*(a*a**(2\/23))\/a assuming a is positive.\nAnswer: a**(-697\/713)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 147ea (base 16) to base 14.\nAnswer: 22842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.496 and 0.166.\nAnswer: -0.082336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15999*x*z**2 - 11809*x*z - 2*z wrt z?\nAnswer: -31998*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(110) + sqrt(110) + sqrt(110)*-5)*-4)\/(sqrt(90)*-4 - sqrt(90)).\nAnswer: 12*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h*h\/(h\/h**(-4\/7))*h)*h)**39\/((h*h\/(h**(-4\/7)\/h)*h)\/h)**(-26))**42 assuming h is positive.\nAnswer: h**6474","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 43, 162, 405, 814, 1431?\nAnswer: 2298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -284.5837 rounded to the nearest integer?\nAnswer: -285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/6)\/((g**(-2)*g)\/g))\/(g**(-2)\/g**(1\/6)) assuming g is positive.\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1296 - -824. Is 12 a factor of g\/(-20) + (-6)\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 591124.8ng to grams.\nAnswer: 0.0005911248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39602 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1381.399g to nanograms.\nAnswer: 1381399000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2547625 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*b + 1899 = 0, 3*i - 3*b = 6*i - 5697. What are the prime factors of i?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136906710?\nAnswer: 2, 3, 5, 4563557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126845 and 4784?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5 - 7 = 0. Let o(u) = -4*u - 3. Let f be o(-3). Suppose 22*j = 19*j + f. Sort j, t, 0 in increasing order.\nAnswer: t, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13521?\nAnswer: 3, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -0.2.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 32*j**2 - 34*j - 37. Let l be v(-31). Suppose d - l = 88. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 3)\/((-4)\/(-2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, l: 5, e: 1, j: 1, s: 1, t: 5}. Give prob of picking 1 j and 1 h.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + u. Let h be 75\/100*(-3 - (-60)\/52). Which is bigger: h or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.858 to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4959964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 2. Let u(a) = 4*a + 6. Let v be u(-2). Let q be d(v). Let k(j) = 2*j + 127. Is k(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -1. Let w = 7 - h. Suppose 3*u - 5*d = -d + 55, 0 = u + w*d - 50. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85 + -41 + (-15 - -19)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + v = -6. What is the third derivative of -3*b**2 - 3*b**6 + 3*b**2 + 2*b**v wrt b?\nAnswer: -360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8364717 to the power of 1\/2, to the nearest integer?\nAnswer: 2892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*j + 252. Suppose 0 = 2*f + 2 + 2, 5*k = 2*f + 14. Let p be 1 - (-19 + 4\/k). What is the highest common factor of p and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -76*w + 1469. What is k(19)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 414131 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -198 + 338. Suppose 51*h - v = 49*h. Suppose -4*y = -2*u - 514, -3*y + 4*u - h = -468. Calculate the greatest common factor of y and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76746.5m in micrometers?\nAnswer: 76746500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -963667 rounded to the nearest ten thousand?\nAnswer: -960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 592 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*a - 60 = 60*a. Put -2.9, a, 1, -0.4 in increasing order.\nAnswer: -2.9, -0.4, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-986)\/(-22) - 2\/(-11). Let v = 176 - 161. What is the highest common divisor of j and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*b + 8. Let q = 6 - b. What is the remainder when 2 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - -1 - (2 + 0). Let k(u) be the second derivative of u**6\/144 + u**4\/4 - u. Let h(a) be the third derivative of k(a). Calculate h(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/108 and 17\/90.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50301 and 1817.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, m: 2, j: 1, o: 1, h: 1, t: 2}. What is prob of sequence mj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0637 * 0.037.\nAnswer: 0.0023569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72612916.\nAnswer: 2, 17, 1067837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 104476630 a multiple of 417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 + 32.8. Let s = -5 - k. Which is the third smallest value? (a) 1\/8 (b) -1\/5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*x + 3. Let j(o) = 9*o + 1. Let u be j(x). Let y = u + -42. Solve 3*b - y = -b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4, -83, -164, -239?\n\"Answer: 3*b**2 - 96*b + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x**2 + 2*x + 5. Let l(q) = -8*q**2 + 9. Let v(j) = 7*j**2 - j - 8. Let m(i) = -2*l(i) - 3*v(i). Determine 4*a(p) - 3*m(p).\nAnswer: -p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) - (sqrt(60) - sqrt(960)*3))\/(sqrt(972) + -2*sqrt(972)))**2 + -3.\nAnswer: 53\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 7*b + 11. Let c(x) = x**3 - 9*x**2 + 8. Let z be c(9). What is the tens digit of t(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.036 - 0.436. Which is the second biggest value? (a) m (b) -7 (c) 0.3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwhhhwwhw. What is prob of sequence whhw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*q + 80 = 2*h, 5*h + 2*q - 209 = 0. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 609 - 605. Let f(b) = -1 + 2*b**2 - 9*b**3 - 4*b**2 - 4. Let q(h) = 5*h**3 + h**2 + 3. Give j*f(s) + 7*q(s).\nAnswer: -s**3 - s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5708 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (75\/(-10))\/((-2)\/4). Solve 0 = 4*g - g - k for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o - 3*o + 2*o)*(3*o**2 - o + o)*(o + 1 - 1) + (o + 2*o**2 - o)*(-390*o + 390*o - 329*o**2).\nAnswer: -676*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (149\/2 - 1)*(-4)\/22. Let x = g + 181\/44. Calculate the common denominator of x and 99\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2286410*s + 16418*s**3 - 2286410*s)*(-3 + 3 + s) + (-5*s - s + 4*s)*(2*s**3 + s - s) to the form d*s**4 + l*s**3 + w*s + m*s**2 + c and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66954 - 19560. What is the thousands digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 - -29.9. Let c = 3 + -9. Let v = c + 6.4. What is the third biggest value in j, v, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 - 306249*h + 19 + 306449*h - 3*h**2 to the form q*h**2 + x*h + l and give x.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/(s**7\/s*s)))\/s*s*s*s**(1\/5))**(-2\/81))**(-25\/4) assuming s is positive.\nAnswer: s**(205\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1615 is divided by 46?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/1765? (a) 0.03 (b) 0.05 (c) 13 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1661 and 604.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 940 = 1580. Let m = b + 2165\/6. Let r = -59\/42 + m. Is r at least -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 9. Let b be (-2)\/w - 77\/(-21). Suppose -q = b*q - 12. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 10:45 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**9*p)\/(p**(-8\/3)*p))\/(((p*p\/p**(-9))\/p)\/p*p**(-1\/9)) assuming p is positive.\nAnswer: p**(25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 71 - (34 - -82) - -74\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 31*w**2 + 6*w + 184. Let q be x(-31). Let a(u) = -u**2 + 7*u - 3. Let s be a(6). Put s, q, 4, 5 in decreasing order.\nAnswer: 5, 4, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 444 + 7796 = 10*q. List the prime factors of q.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.5431205 years?\nAnswer: 0.005431205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 5*h**3 - 9*h**2 + 475*h - 21. Let c(j) = -j**3 + 2*j**2 - 118*j + 5. Calculate -9*c(l) - 2*w(l).\nAnswer: -l**3 + 112*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 94 + -84. Suppose k*i + 7*i - 5525 = 0. Calculate the greatest common divisor of i and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(378))\/((2*sqrt(150) + sqrt(150) + sqrt(150))*-6).\nAnswer: -sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b**2 + 9*b - 30. What is d(5)?\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -203 + -69910.67.\nAnswer: -70113.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1154, 4661, 12788, 27845, 52142, 87989, 137696?\nAnswer: 203573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, b: 7, t: 1, j: 2, r: 1, q: 1}. Give prob of picking 1 e and 1 j.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**3 - 31*k**2 - 105*k + 122. What is l(18)?\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -76*d**2*x + d**2 - 91*d + x with respect to x.\nAnswer: -76*d**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5337 and 14825?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22264 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 9 - 1 = 0, 2*n = -b + 60. Solve n - 9 = -4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 38*g - 40*g - 17, 4*g = -24 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.84954 rounded to three decimal places?\nAnswer: 0.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 965337.8 years to months.\nAnswer: 11584053.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 66049\/2 - 257*n + 1\/2*n**2 = 0?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k**3 + k**2 + 1568*k - 1568. Calculate s(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1393 - 1388. Factor 0 + 1\/4*p**2 + 1\/2*p - 15\/4*p**3 + 19\/4*p**4 - 7\/4*p**n.\nAnswer: -p*(p - 1)**3*(7*p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1128*i*k**2*q + 2*i*k*q**2 - 3*i*k*q + 18*i*k - 5*i*q + 6*i + 6*k**2*q**2 wrt k?\nAnswer: 2256*i*q + 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00021589 rounded to five decimal places?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-33))\/((8\/(-6))\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/29)\/(d**(-2\/3)\/d) assuming d is positive.\nAnswer: d**(151\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3\/403, -5, 0.09, -3, -0.2 in descending order.\nAnswer: 0.09, 0, -3\/403, -0.2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 - 10*k + 3*k**3 + 9*k**3 - 7*k**3 - 4*k**2 - 2*k.\nAnswer: k*(k - 6)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-30)*12720\/2756. Factor -2\/13*w - 8\/13*w**2 + 0 - z*w**4 - 2\/13*w**5 - 12\/13*w**3.\nAnswer: -2*w*(w + 1)**4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -610 - -614. Solve 3*f - 8 = a for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 13 + w + 2*w - 2*w - 2*w. Let u be k(6). Solve -15 = u*f - 2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3804beb + 2?\nAnswer: 3804bed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -5\/12*t**3 + 0 - 1\/24*t**4 + 55*t + 0*t**2. Solve o(f) = 0 for f.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -282 + 280. Let s be (-2)\/14 + 0\/(-3). Sort s, 5, v, 1\/5 in decreasing order.\nAnswer: 5, 1\/5, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 5 - 7)*(-2*p**2 + 2*p**2 + 8*p**3) as b*p**2 + l*p + z + g*p**3 and give g.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3339708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49.0999778 + 49.1. What is r rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 173012?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01985 + -475.21985. Let b = l - -430. Which is greater: -0.1 or b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**2*f*g**2 - c**2*f*g*l + 2*c**2*f - 2*c**2 - 25*c*f*g**2 + 2*c*f*g*l - 17*c*g**2*l - 2*f + 6*l wrt g.\nAnswer: 6*c**2*f - 50*c*f - 34*c*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*w = -k + 26, -2*k + 3*w = -19. Suppose -3*f - k = 4, -3011 = -5*y - 3*f. Suppose -12*d = -8*d - y. List the prime factors of d.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 19 = -3*s, -28*o + 21 = -3*s - 25*o. Let g(l) be the first derivative of l**4\/4 + 5*l**3\/3 - 3*l**2\/2 - l - 3. Give g(s).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 164380 and 641082.\nAnswer: 6410820","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Solve -25*v = -24*v - 4*f - 16, -v + 3*f = -12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/((2\/(-4))\/(5\/20)). Let i be (15\/(-3) - 4) + (l - 1). Let d(b) = -b - 6. Let x be d(i). Solve -4*j - 2*z + 18 = 0, 3*z + 1 - x = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*l**3 - 37 + 18 + 21 + 8*l**3.\nAnswer: 35*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 1101111000110001101001000?\nAnswer: 1101111000110001101000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 divided by -360?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2748 and 660.\nAnswer: 151140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4319 is divided by 217.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 16*d - 11. Let r be q(8). Suppose 4*i + t = 77 + 157, 0 = 3*i - 2*t - r. List the prime factors of i.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 13*h**2 - 5*h - 19. Let n be z(-13). Let c be (1\/(-2)*-6)\/1. Suppose -c*v + 77 = -n. What is the remainder when v is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27297516976 - 27297516672.00000147. Let r = 304 - b. What is r rounded to seven decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**4\/4 - 53*d**3\/2 - 35*d**2\/4.\nAnswer: -d**2*(d + 35)*(3*d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1690 + -1686. Sort -5, 490, d in descending order.\nAnswer: 490, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -1742*f**3 - 159*f**2 + 6*f + 13. Let k(c) = 3485*c**3 + 317*c**2 - 13*c - 27. Let t(a) = 6*k(a) + 13*n(a). Find the third derivative of t(h) wrt h.\nAnswer: -10416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(2)*1)**2)*-1*6.\nAnswer: -6*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -193*i**3*y**2 + 25*i**3*y - 1868*i**3 + i**2*y**2 - 95*i*y**2 - 10418*i*y - y**2 - 8*y wrt i.\nAnswer: -1158*y**2 + 150*y - 11208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-286)*(-66)\/(-12)*0\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110000221200100 - -2?\nAnswer: -110000221200021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*f + 6 = 0, -2*c + 16 = -3*f + 4. Calculate the greatest common divisor of 16 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 555883 (base 10) to base 3.\nAnswer: 1001020112021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -22, -37, -54, -73, -94, -117?\n\"Answer: -o**2 - 12*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 6*t**2 + 3*t + 22. Let l be w(-5). Let h be (l\/(-528))\/(-1*2\/6). Let y = -0.01 + 0.01. Which is the closest to y? (a) h (b) 0.06 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 1301 + 1723 = 0. Calculate the greatest common divisor of c and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3200)\/(-1120))\/(4\/10122).\nAnswer: 2, 3, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 110 = -77*x + 72*x, -2*n = -x - 2. Solve 0 = 4*m + 8, -x = 5*h + 51*m - 54*m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 1.9?\nAnswer: -0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 49*j**2 - 45*j - 75. Give a(-50).\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*i - 2 + 2)*(983 - 231*i - 983 + (1 - 6 + 4)*(-5*i + 14 - 14)) to the form t*i + f*i**2 + k and give f.\nAnswer: -1582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.7228531 micrograms?\nAnswer: 722.8531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 39 = -41. Let i(p) = 5 - p - 3 + 9 - 14*p**2 - p**3 - 17. Let g be i(-14). Solve -h + 2*x - 5 = g, 5*h - 5*x = -j for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-24) + (-18154)\/12. Let b be h\/34 - 2\/4. Let m be b\/6 + 2\/4. Which is bigger: -6 or m?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-six fifths of a meter?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11000011 (base 2) to base 6\nAnswer: -523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13308139 is divided by 1388?\nAnswer: 1383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 5*j - 32, 5*j = -5*p - 221 + 181 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 5 = -8*x + 3*f, -3*x = -3*f for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 19*m**2 + 4*m + 2. Let t be b(-1). Let v(z) = z**2 + 12*z - 5*z - 9*z - t. Is v(6) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 9*x + 48. What are the prime factors of z(19)?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 0, -0.1, -10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 930478563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l**4 + 6037237*l**3*x**2 + 2*x**2 + 479876*x - 5 with respect to l.\nAnswer: -8*l**3 + 18111711*l**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 874612?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 489 and ((-22)\/10)\/(4\/(-20))?\nAnswer: 5379","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22*6\/(8 + -2). Let n(b) = -b - 4. Let u be n(-6). What is the greatest common divisor of u and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3 = 11. Calculate the smallest common multiple of h and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqe when three letters picked without replacement from ttstqtett.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2079 + 2079. Which is bigger: i or -1\/1459?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1730 or 1734?\nAnswer: 1730","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2695053 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k**2 - 21410*k + 1. Let w(c) = 3*c. Give z(w(d)).\nAnswer: -27*d**2 - 64230*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmlk when four letters picked without replacement from klxmm?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -15*w**3 - 2*w**2 - 2*w. Let d(b) = 61*b**3 + 9*b**2 + 9*b. Give 2*d(j) + 9*x(j).\nAnswer: -13*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d + 0*d**2 - 6*d**2 - 30*d + 4*d**2 as c*d + n + s*d**2 and give c.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**2 - 25*a + 63. What is x(-14)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - f + 5. Let d be n(0). Suppose 4*v - 23 = -3*q, -d*v = 2*q + 3*q - 35. Let g = v - -13. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -168 * 2.6.\nAnswer: -436.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 435 + -430. What is the third derivative of 101*f**2 - 28*f**5 - 16*f**g + 143*f**5 wrt f?\nAnswer: 5940*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 159095 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12863*b + 12848*b + 615 = 0 for b.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 716600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + -4 + 33\/2. Let l = x + -16. Let b = 11\/3 - 41\/12. Sort l, b, 0.3 in descending order.\nAnswer: 0.3, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2716353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 plus 3318411?\nAnswer: 3318422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + y = -17, 5*n + 23 = 28*y - 31*y. Let l(m) be the second derivative of m**3\/6 + 2*m**2 - m. Let k be l(n). Solve k = -b + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91 + -94.37. Let r = 27.79 + w. What is r rounded to 0 dps?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11104638.\nAnswer: 2, 3, 17, 108869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3105 divided by -345?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + b = 8, 5*b - 1 - 3 = 3*z. Suppose -5*n = 4*i - 480, z*i + 5*n + 0*n = 230. Suppose -i = -2*s - 1. What is s rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8963.899998 - 8964. Let l = -0.1 - y. What is l rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -47*w**6\/30 + 9*w**3\/2 - 26*w. What is the second derivative of x(q) wrt q?\nAnswer: -564*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35632852100 rounded to the nearest 1000000?\nAnswer: 35633000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2*29491\nAnswer: 58982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - t = -1. Suppose 4*o - 14 = -x, -5*x = -0*x + 3*o - 19. Which is the third biggest value? (a) -2 (b) t (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -11*l**5\/60 + 6*l**2. Let x(u) = -u**2. Determine x(c(i)).\nAnswer: -121*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 170.79 times -1242.6\nAnswer: -212223.654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 7*w**2 - w + 56. Let a be p(-8). Let z(u) = 14*u + 5. Give z(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008032266 rounded to five dps?\nAnswer: -0.00803","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 803, 0.1, 0.065, -2.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 380\/(-41895)*(-1 - 35\/14).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20 + -3?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 17\/4 of a gram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**4 + 4*w**3 - w + 2. Let s(p) = 3*p**4 - 30*p**3 + 27*p**2 + 12*p - 36. Let o(y) = s(y) + 6*v(y). Let o(c) = 0. Calculate c.\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 7*m**2 - 199*m - 415. Let v(h) = 3*h**2 - 93*h - 208. Let o(k) = -5*v(k) + 2*x(k). Factor o(a).\nAnswer: -(a - 70)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u + 32 = 332. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*c**2*r**6 - 2*c**2*r**2 + 14*c**2*r - c**2 - 11*c*r**2 - 982*r**6 wrt r?\nAnswer: 840*c**2*r**3 - 117840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5 + 7504*h + 4 - 7507*h. Let k(l) = 0*l + 6*l - l + 3*l - 10*l. Determine f(k(o)).\nAnswer: 6*o + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 13\/2, 0, 11\/8, 0.08, -0.4?\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404530769 is divided by 343?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52 - 11536*w**2 - 45*w**2 - 39 + 91)*(2 - w**3 - 2).\nAnswer: 11581*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 162656.1013 - 161694.14. Let n = 962 - q. What is n rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3337.58641 rounded to the nearest ten?\nAnswer: -3340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a century in years?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 4:46 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + 46 = -7*d + 46 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -313*a = -1075*a + 1187 + 337. Let g(w) be the third derivative of 3*w - 7*w**a + 0*w**4 + 0 - 1\/240*w**5 + 1\/24*w**3. What is l in g(l) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.528155 to two dps.\nAnswer: 10.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-883 + 3*y + 3*y + 880)*(172 - 345 + 21*y + 175) to the form p*y + f*y**2 + j and give f.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 5*v - 2. What are the prime factors of k(-9)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76694.\nAnswer: 2, 31, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3728590 divided by 5.\nAnswer: -745718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 2 - (-3 + -7 - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-12) - (-52)\/(-42). Which is the third biggest value? (a) 4 (b) -1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 12. Let o = q + 8. What is the closest to 1 in 0, 1\/9, o?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 7. Let w = 13 + q. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 10*o - 1\/2*o**4 + 0 + 1\/2*o**2 + 0*o**3 - 1\/10*o**6 - 2\/5*o**5. Let f(x) = 0. Calculate x.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2843*h + 2845*h = 1380. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -14*p + 60. Suppose p*b = -5 - 25. Let x be (0 + 2)*4\/(-2). Put x, b, 76 in decreasing order.\nAnswer: 76, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -14*z**3 + 14*z + 6. Let f be ((-22)\/77)\/((-4)\/112). Let a(k) = -5*k**3 + 5*k + 2. What is f*a(b) - 3*m(b)?\nAnswer: 2*b**3 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, u: 4, k: 12}. What is prob of picking 2 u and 1 k?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 4*l**3 + 239460*l**2 + 957792*l + 957776 = 0?\nAnswer: -59861, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-86)\/2064*184\/(-23)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(136) + -1*sqrt(136)))\/(sqrt(8) - (sqrt(8) - sqrt(80)\/(sqrt(10)*2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -644 or 1?\nAnswer: -644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*k + 383*k + 1196*k to the form x + p*k and give p.\nAnswer: 1513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -f**8\/336 - 2*f**5\/5 - 3*f**4\/8 + f**2 + 1. Find the second derivative of m(l) wrt l.\nAnswer: -20*l**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 92133 and 3683?\nAnswer: 11700891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x - 6*x - 6*x)*(0 + 3*x**2 + 0) as v*x**2 + o + w*x**3 + a*x and give w.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -51, -729, -1857, -3435, -5463, -7941?\n\"Answer: -225*l**2 - 3*l + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2052100 (base 8) to base 10\nAnswer: -545856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1600) + sqrt(1600) + (sqrt(1600) - (3*sqrt(1600)*-4 - sqrt(1600))) + sqrt(1600))\/(sqrt(40)\/(sqrt(648)*4)).\nAnswer: 4896*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3\/10 of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from biibbbi?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 10*k - 4*j - 1435, 0 = k - j - 288. What is the remainder when k is divided by 137?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 - 35. Solve -h = 5*r + 15, m*h + 2*r = 4*h + 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 + 18*b - 369. Let m be y(-35). Which is smaller: 1453 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53 and 15211.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.3 + -3.6. Which is the biggest value? (a) -6 (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -12, 5, 3 in decreasing order.\nAnswer: 5, 3, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + m**2 + 93*m**3 - 2.\nAnswer: 93*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 448.8 + -451.8. Let c = -93\/104 - -10\/13. What is the second smallest value in c, n, 0.24?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 - 40.3. Which is the closest to 0.1? (a) 0.4 (b) k (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*n = -13*n + 306 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-128)\/96 - 6\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 385\/(-121)) + (-1)\/((-44)\/960)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 17*z - 1. Determine q(-3).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/660)\/(9\/(-30))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*o + 5472, -5*o = 4*v - 2*v - 3659. List the prime factors of v.\nAnswer: 2, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29.028 - -0.028. Let t = u - -28.82. Let r = 8.18 + t. What is the third biggest value in r, -2\/13, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, h: 2}. What is prob of picking 1 s and 1 h?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g = -12*g + u - 5, -2*g - 2*u = 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + 5. Let c be (j\/(-6))\/(3\/594). Round c to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 - 7?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 35138.45045 rounded to the nearest 1000?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -2*f + 5*a, a - 121 = 2*f - 7*f. Suppose 5160 = -44*r + 173*r. Factor -90*l**2 + 23*l**3 - 12*l**3 + 100*l + f*l**3 - 5*l**4 - r.\nAnswer: -5*(l - 2)**3*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**3 + 2*i**2 - 3*i + 2. Let y = 2637 + -2633. Let o be (6\/(-8))\/(2\/(-8)). Let j(u) = -3*u**3 - 3*u**2 + 4*u - 2. Give o*j(f) + y*p(f).\nAnswer: -f**3 - f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1173 or -0.39?\nAnswer: 1173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 9)*(b**2 - 3*b**2 + 3*b**2)*(3 - 4 + 2).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -40, -129, -340, -733, -1368, -2305, -3604, -5325?\n\"Answer: -10*w**3 - w**2 - 16*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -449 - -196.\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(204) + sqrt(204) - sqrt(204))*6)\/((sqrt(108)*3)\/sqrt(9)).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -180 - -181.17. Let o = 0.17 - z. Which is greater: -4 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 + -0.4. Let q be (-69)\/6*(-6)\/(-126). Let a = q - -3\/14. What is the nearest to -2\/5 in 2\/5, b, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**3\/5 + 221312*s**2 + 2*s\/5 - 221312 = 0.\nAnswer: -1, 1, 553280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 smaller than 123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 277197091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 1.1 (c) 2\/9 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a minute in milliseconds?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, h: 4, u: 1}. Give prob of picking 1 h and 1 u.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1589 is divided by 267.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 7*z**2 - 3*z - 1. Suppose -3*d + 21 = -m - 4*m, 5*m = -2*d - 11. Suppose 0 = v + d*t - 20, 70 = v + 4*v + 4*t. Is a(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 31794816, 63589631, 95384446?\n\"Answer: 31794815*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*w - 192, 224 + 52 = 3*y - 4*w. Is y < 55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-7225)\/(-725) - 479*(-30)\/435?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.221625 years in months?\nAnswer: 38.6595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/10*(-27)\/6. What is the highest common factor of a and 243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 35108, 163, -5 in decreasing order.\nAnswer: 35108, 163, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u + 1. Let i be o(1). Let p be (-2)\/3 - (0 + -1). Let g = -2.03 + 2.43. What is the closest to p in i, g, -2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-4)*(2 - 2). Suppose 4*c + u = -19, 5*u + x + 27 = -3*c. Let j = 3 - c. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -349, -8 in increasing order.\nAnswer: -349, -37, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ablblbadvll. Give prob of picking 1 b and 1 v.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/4 + 955*g\/4 - 3367\/2.\nAnswer: (g - 7)*(g + 962)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216282 and 27318?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -578, -2298, -6978, -16100, -31146, -53598?\n\"Answer: -247*j**3 + 2*j**2 + 3*j - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/77982 and 49\/30.\nAnswer: 389910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b + 9. Let t be m(-7). Let n be (12\/t)\/(3\/1). Solve -1\/2*o**3 + n*o - 1\/4 + 1\/4*o**5 - 1\/4*o**4 + 1\/2*o**2 = 0 for o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86494, 86513, 86532, 86551?\nAnswer: 86570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**3 + 2732*j**2 - 5476*j + 2740 = 0.\nAnswer: -685, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3148 (b) -0.3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z - 28 + 28)*(1 - z - 1)*(-2 + z + 2) + 3*z**3 + 5*z**3 - 4*z**3 as t*z**2 + j + h*z + d*z**3 and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/9)*k*k**14)\/(k*k**2)**(-3\/17) assuming k is positive.\nAnswer: k**(2410\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -70a - 5?\nAnswer: -713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5, 21, 41, 65, 93, 125?\n\"Answer: 2*b**2 + 10*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 112380?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -45, -86, -127, -168?\n\"Answer: -41*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, s: 2, d: 7, r: 4}. What is prob of sequence rsdd?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2496, -4790, -7084, -9378, -11672, -13966?\n\"Answer: -2294*m - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18524266 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**3 + 3*y**2 + y + 2. Let d be x(-2). Suppose -5*n - 12 = -9*n. Suppose n*u = -u + 16. Sort 1, u, d in decreasing order.\nAnswer: u, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(1\/(-1)*2\/(-1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, e: 1, q: 2}. What is prob of picking 1 y and 2 q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 374 + -364. Suppose -i = -5*y + 8, -4*y = -3 - 5. Let n = -3 - -7. Solve -w + 3*p + h = -i*w, -4*p - 40 = -n*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*p)*(2 - 2 - 1) + 3 + p - 3 + 2*p + 0*p - p + (p + p + 0*p)*(-3 + 4 - 2) + 300*p - 112 + 112.\nAnswer: 302*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + u + 0)*(-1 - 1 - 1) - 29 - 5*u + 29.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -24\/7*j - 24\/35*j**5 + 1\/14*j**6 + 6*j**2 + 75\/28*j**4 - 38\/7*j**3 + 21. Solve n(y) = 0 for y.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + -8)*-1 - (2 - 1). Let d(l) = -c*l - 4*l + 4*l + 2. Is d(-5) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103433.\nAnswer: 11, 9403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m**2. Let s(r) = 1. Let c(o) = o - 4. Let u(t) = -c(t) - 4*s(t). Calculate a(u(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5933427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/1416 and 109\/336.\nAnswer: 19824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 109101\/(-164)*(-8)\/6. Suppose -4*h = -4*v + 944, -287 = -5*v + 2*h + u. List the prime factors of v.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5139 = -107*n - 4818. Solve -17 = n*u + 2*f - 33, 5*u = f + 18 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-3)*21 - 2. Let v be y\/10 - (1 + (-4)\/10). Let 3*p - 2*p - p**v + 2*p - 6*p = 0. Calculate p.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 77709224?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 116*f**2 + 144*f**2 - 83*f**2 + 101*f**2 - 1 to the form g*f**2 + m + h*f and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -43*g + 48*g. Let o = 120 - g. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*t**2 + 105*t**2 - 253*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 7*h - 3. Let t(z) = -5*z**2 + 36*z - 15. Suppose -3*x - 2*x - 55 = 0. Let s(p) = x*n(p) + 2*t(p). Give s(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87 = -5*q - 4*i, 7*q - 2*i + 13*i - 90 = 7*i + 9*i for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 bigger than 82139\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 28, 4, 3, -42, -5 in ascending order.\nAnswer: -42, -5, 2, 3, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 325711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -258 + 437. List the prime factors of l.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -924776a1 + 5?\nAnswer: -92477698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 147*h + 20579. Let a be d(-140). Let w be (-24)\/(-11) - (2 + 0). Sort w, 56, a.\nAnswer: a, w, 56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-10))\/(28\/10)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 87933169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -7. Suppose 0 = w*z + z + 15. Sort z, -2\/7, -4\/5 in decreasing order.\nAnswer: -2\/7, -4\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f**3 + 3*f - 4*f**3 + 506 - 16*f**2 - 544. Let p be m(16). Solve 0 = 2*q - 0*q - 3*a - 5, -3*a = -q + p for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-1 + (6 - (-6 + 1)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -650211 + 1010?\nAnswer: -649201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-21)*(((v**13*v)\/v*v)\/v)\/v assuming v is positive.\nAnswer: v**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + f**2. Let a(m) = -7*m**3 + 6*m + 34. Let d(o) = -a(o) + 6*t(o). Let v be d(-6). Solve 3 = h + v*r, 0 = 3*h - 2*r + 24 - 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a century?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13, 7, 13, 37, 85, 163, 277?\n\"Answer: a**3 - 13*a + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 + 55 - 2*y**2 - 54 - 321*y + y**2 + 115*y.\nAnswer: -2*y**2 - 206*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*(-2 + 5\/2). Suppose 0*w = 3*w - 6. What is the least common multiple of w and (0 - 0) + 8 + j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(104)\/(-2*sqrt(8)*2) - (((sqrt(91) - 1*sqrt(91)) + sqrt(91))\/sqrt(7) + sqrt(130)\/(sqrt(30)\/sqrt(3))))**2 + 0).\nAnswer: -5265\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 10476117?\nAnswer: 10476116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75 + -139. Let w = z - -383\/6. Let s = -102 + 101. Which is smaller: w or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 1. Let n(m) = 46*m + 58. Let w(b) = n(b) - 5*t(b). Let p be w(11). What is the common denominator of -19\/24 and (-912)\/p + (2 - 0)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 6\/(-2)) + -3. Let q = -8 - g. Let w be (-29)\/(-3) - (-6)\/q. Which is smaller: 10 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -16*x. Let d(n) = -1 + 42*n - 71*n - 238*n + 62*n - 187*n. Determine d(i(c)).\nAnswer: 6272*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -9*h**2 - 6. Let b(z) = 17*z**2 + 11. Determine -4*b(o) - 7*c(o).\nAnswer: -5*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -2*a + 8, -4*u + 34365 = 4*a + 34357 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (45\/(-6))\/(-5)*1564\/1173. Let r(g) be the second derivative of 0*g**3 + 1\/12*g**4 + 21*g + 15\/2*g**a + 0. What is r(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003249607 to seven decimal places.\nAnswer: -0.000325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 8*y - 9. Is r(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(9\/7)*(v**(1\/9)\/v)\/v)**(-25\/2) assuming v is positive.\nAnswer: v**(3425\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197238112 is divided by 42064?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 169 - 118. Let s = p + -30. Suppose 2*b**3 - s*b**4 + 15*b**5 - b**3 + 5*b**3 = 0. Calculate b.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 290, 1113, 2484, 4403?\n\"Answer: 274*l**2 + l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.8 - 4.3. Let h = q + -2.4. Which is the closest to -2\/7? (a) 1\/7 (b) h (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -v**6\/120 + v**5\/10 + 5*v**4\/12 - 7*v**3\/2 - 11*v**2. Let l be m(7). Solve y + 3 = -l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - g)*(-g**3 + 0*g**3 - 1 - 2) - 3*g**4 - 5*g**4 - 2*g**4 to p*g**4 + y*g + h*g**3 + b*g**2 + a and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 4*b = -37, -2615 = -k - 3*b - 2611 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 98 - 38. Let g = v + -46.2. Let t = g + -14. Sort t, -5, -1 in increasing order.\nAnswer: -5, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a meter in centimeters?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-33210)\/108)\/(-123))\/((-10)\/(-52)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 200946718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5851*f**2 - 856 + 11707*f**2 - 5859*f**2 to the form a + t*f**2 + u*f and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/6*h**4 - 130\/3*h**3 + 825*h**2 - 6750*h + 39375\/2.\nAnswer: 5*(h - 15)**3*(h - 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, r: 3, d: 1}. What is prob of picking 2 r and 1 s?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/((-20)\/(-5)))\/((-483)\/(-21)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 12:37 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 1459, -0.5, 0.2, 0.01, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.43, -2, 3\/4, -0.04, 0.4 in decreasing order.\nAnswer: 3\/4, 0.4, -0.04, -0.43, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 462092296 to the nearest integer?\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 80\/24*(1049 - -1). Suppose 0*d + s = 2*d. What is d rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/4, 2, 17, -2\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2\/11)*z**0\/z)**(-2\/3)\/((z*z**(-2\/7)*z*z)**48\/(z**2\/(z\/((z\/z**(-1\/14))\/z)))) assuming z is positive.\nAnswer: z**(-59641\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38.3 * -1.151.\nAnswer: -44.0833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-6*(-3 + -2 + (-1 + sqrt(396))**2) - (-4 + (2 + sqrt(396)*-2)*-5 + -3)**2.\nAnswer: -54001 + 2472*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**3 + 5804*j - 5806*j - 2*j**2 + 0*j**2 - 2 to the form u*j + b*j**3 + m*j**2 + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/2)*r*r\/(r\/(r\/r**(-8))))\/(r**(-2\/27)\/((r\/(r**2\/r))\/r*r*r)))\/((r*r**(2\/3)*r)**27)**50 assuming r is positive.\nAnswer: r**(-193829\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -179 and 4.\nAnswer: -716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-73)\/(-135415)*53)\/((-1)\/(-45))?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 419 by 1.\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 + -19. Suppose -v - 17 = -3*n. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**4 + 0*m**4 - 2*m**4)*(2 - 9 - 7) - 4*m**4 - m**4 + 3*m**4.\nAnswer: 26*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 8*o**2 + 3*o - 9. Let t(x) = x**2 - 1. Suppose -4*w + w - 2*u = -8, u = 3*w - 5. Suppose 0 = 11*h - 133 + 331. What is h*t(r) + w*j(r)?\nAnswer: -2*r**2 + 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = u - 1892, -4*t = -9*t - 5. Suppose -r = -5*r - 5*n + u, -r - n = -474. Suppose -2*w + r = 4*x, 2*x - 4*w - 257 = -w. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*w + 94*w - 65163 = 13*w. Is 2887\/9 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -4) + (16 - 28) + 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -3.67756.\nAnswer: 14.71024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.211964238078 - -2.54\nAnswer: 2.751964238078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/(-2) + 12\/((-6)\/1). Let t = -3 - -13. Suppose 3*d + t = 25. Which is smaller: c or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2772 and 5758935.\nAnswer: 760179420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 519068 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v\/(((((v*v\/(v\/v**(1\/10))*v)\/v)\/v)\/v)\/v)*v)\/v)\/(v*v\/(v*(v*v**6)\/v)))**38)**45)**(2\/17) assuming v is positive.\nAnswer: v**(27018\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 41 + s - 7 + 40*s**2 + 20 wrt s?\nAnswer: 80*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 10*q**2 - 13*q + 15. Let k be b(11). Let r(y) = y**3 + 16*y**2 - 12*y - 34. What is the tens digit of r(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2595.69863859203 + 277383839.59861229203. Let w = -277381274 + a. Let j = w + 30.1. Round j to six dps.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**4\/6 + 101*s**3\/6 + 561*s**2 + 17918*s\/3 - 19652\/3 = 0.\nAnswer: -34, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 77*w**2 + 19*w + 119. Is k(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (54\/36)\/(3\/(-8))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.48606 rounded to two decimal places?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 7*l + 11. Let r(z) = 27*z + 45. What is 4*r(h) - 15*u(h)?\nAnswer: 3*h + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000101 - 10110100010111?\nAnswer: -10110010010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 278*m**3 - 2*m**4 - m + 2*m**2 + 2*m**2 + 278*m**3 as w*m**4 + i*m + y + l*m**2 + s*m**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -5*s**6\/6 - 4*s**5 - 5*s**4 + 10*s**3\/3 + 25*s**2\/2 + 10*s + 53. Factor q(v).\nAnswer: -5*(v - 1)*(v + 1)**3*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 613*v - 1251*v = -624*v + 378 for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105 and 112245.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 566747296 to the nearest integer?\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6535 + 6534.97516. What is d rounded to four dps?\nAnswer: -0.0248","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25640 - 564177\/22. Calculate the common denominator of b and 27\/248.\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 23534?\nAnswer: 23534.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -4*l**3 - 940*l**2 + 952*l + 1888 = 0?\nAnswer: -236, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 9 + 23*n - n**3 - 31*n + 20*n. Let w(l) = 0. What is l?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -23021?\nAnswer: -23020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -129 divided by 12?\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2166*a - 2162*a - 36 = 0. Let b be (-2)\/(-2) - 2\/(a - 11). Solve 24 = -4*n - b*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*b = 298*b - 54*b + 1324 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 157, 16, -3, 71 in descending order.\nAnswer: 157, 71, 16, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4179205?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -24658232*-0.5\nAnswer: 12329116","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.02 + 0.12. Sort -4, -2\/19, x, 0.01 in ascending order.\nAnswer: -4, -2\/19, 0.01, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 39, 14.\nAnswer: 1, 14, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -57*d - 19. Let f(v) = -v - 1. Calculate 19*f(g) - u(g).\nAnswer: 38*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 3705.\nAnswer: -1111.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 690 and 58440?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 878 - 877.7. Let f = -23 - -28.5. Let u = f - 0.5. What is the nearest to -0.2 in n, -2\/13, u?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 5*h**2 + 12*h + 30. Determine r(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5, 4*g = -6*s + 4*s + 530. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.6383 from 462.\nAnswer: 457.3617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q = 22*q - 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 70*v - 747. Give k(-57).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-4) - (50 + (-3241875)\/63140 - 18\/(-33))\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13085514 take away 128.464?\nAnswer: 13085385.536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2800, -5698, -8672, -11716, -14824?\n\"Answer: s**3 - 44*s**2 - 2773*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 4*g = -3*w - 2*w + g + 58, -150*w - 3*g + 1653 = 0 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/31 and 125\/84258?\nAnswer: 84258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 5*j - 860 + 878 = -3*j + j, -4*t + 3*t - 114*j + 111 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79927 is divided by 2919?\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**3 + 2*z**3 - 3*z + 0*z + (-z**2 + 2*z**2 - 2*z**2)*(-z + 0*z + 0*z) - 1 - 2*z**3 + 1 - 2*z**3 + 0*z**2 + 0*z**2 - 3*z**2 + 3*z**2 - z**3.\nAnswer: -3*z**3 - 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/1688 and -51\/378112.\nAnswer: 378112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3130, 6238, 9330, 12406, 15466?\nAnswer: 18510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (376 - 368 - (-11)\/(-5)) + 1\/5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1 + n**2)*(-4*n**3 - 1572*n + 1547*n + 2*n**3).\nAnswer: -2*n**5 - 29*n**3 - 50*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -49*k**2 + 1118*k - 5394. Give m(5).\nAnswer: -1029","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/11 and (-614)\/56 + 12\/(-42).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360704 to the power of 1\/2, to the nearest integer?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1073 equal to 43722?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -786*j*p**3*z - 5*j*p**3 + 1026*j - 2*p**3*z - 1521*p**3 - 202*p*z + 7 wrt j?\nAnswer: -786*p**3*z - 5*p**3 + 1026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287517 is divided by 87.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -423014241 (base 5) in base 11?\nAnswer: -aa7491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -596.56 minus 4?\nAnswer: -600.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.027 - 0.227. Suppose -130 = -3*z + 2*h - 932, -254 = z - 4*h. Let t be (-4)\/(-18) - (-6)\/z. What is the closest to 5 in t, -4, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**2 + 7882*h + 15531481 = 0.\nAnswer: -3941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 10*v**2 - v + 5. Let u be l(-3). Is -382*u\/(-20)*(5 - 7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -601\/6 - -100. Let t = 1.1 - 1. Which is greater: h or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(5) + (sqrt(5) + sqrt(5) + 0 + sqrt(5))*-1 - sqrt(5)) + 3) + -3)**2.\nAnswer: -108*sqrt(5) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, 38, 129, 256?\nAnswer: 419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 109794*1\nAnswer: 109794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/5)*l*l\/l**6)**11*((l**(1\/2)\/l*l)\/l*l*l\/(l*l*((l\/((l*l**4*l)\/l))\/l)\/l*l)*l)\/(l\/(l\/(l*l*l**0*l)*l))**(-43) assuming l is positive.\nAnswer: l**(541\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 7*k**2 - 51*k - 77. Let i be s(-11). Sort i, -4, -52 in descending order.\nAnswer: i, -4, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g**2 + 220*g + 2. Let u(f) = -5*f - 562. Determine u(t(o)).\nAnswer: -20*o**2 - 1100*o - 572","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/4 - ((-44)\/(-48))\/1.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/116046 and 53\/38682.\nAnswer: 116046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l + 72. Let v be w(-16). Let y(n) be the second derivative of n**5\/20 + 5*n**4\/6 + n**3 - n**2 - 9*n. What are the prime factors of y(v)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07109 - -3.92891. Which is the third smallest value? (a) g (b) 0.4 (c) -1\/12 (d) 0.9 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(2\/63))**45)**(2\/71))**(-25) assuming z is positive.\nAnswer: z**(-500\/497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**22)**(-1\/30)\/(z**(2\/15)*z**33) assuming z is positive.\nAnswer: z**(-339\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 79180943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4a + 247009?\nAnswer: 246a6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 50 = 4*f, 607*f - 4*s = 442*f + 2322 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 106 - 153. Put a, -1, -5 in decreasing order.\nAnswer: -1, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(5*(-2)\/(-1585)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + -7)\/(4 - (3 + 0)). Let h be (-13)\/39 - (-8)\/d. Let q(b) = -5*b**3 - 3*b**2 - 3*b - 12. Is 35 a factor of q(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-5*(-3)\/(-30)*4\/(-26)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -568 + 577. Let w(o) be the third derivative of 0*o + 0*o**5 - 7\/120*o**6 + 0*o**4 - q*o**2 + 0 + 4\/3*o**3. Differentiate w(i) with respect to i.\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, k: 1, a: 1, b: 2, w: 2, m: 1}. What is prob of sequence wkaw?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 13*s**2 - 27*s + 43. Let c be f(-15). What is the third smallest value in 2\/3, c, -2\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 2*a - 4*u + 14, -3*a = 2*u + 28. Calculate the common denominator of (234\/a)\/(1*(62 - -4)) and -95\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or -3\/647251?\nAnswer: -3\/647251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -144757, -144756, -144755, -144754, -144753?\n\"Answer: y - 144758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (42\/(-14))\/(7 + -10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**5\/15 - 10*o**4\/3 - 36*o**3\/5 - 4*o**2\/15 + 106*o\/15 + 18\/5 = 0.\nAnswer: -1, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37135175 (base 9) to base 7.\nAnswer: -310166612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10995 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*n = 267 + 133. Solve -5*h - 13 = 2*t - 3, 2*t = n*h + 8 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25 and -309.\nAnswer: -7725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b + 4. Let u be r(-10). Let s(q) = q**2 + 2*q + 3. Let k be s(u). Solve -v + 5*n = k, 4*v - 4 = v - 2*n for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-3)*k))**(-4\/23)*(((k*k**(-1\/3))\/k)\/k)\/(k*k*k*k**(-2\/15)*k*k))**(1\/29) assuming k is positive.\nAnswer: k**(-773\/3335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39*8\/(-60))\/((-316)\/(-790)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 15 = 0, h + 8*k = 11*k - 13 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*d = 9, -5*o - 4 = 4*d + 2. Let k be 32\/(-3) - o\/(-6). Let x = 10 - k. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 7 + 6 - 3 + 4 - 3 + 5 + 0 - 4 + (-1 - 1 + 0)*(0 + 0 - 2) + 2 - 6 + 2)*(-2*i + i + 2*i)*(i**4 - i**3 + i**3).\nAnswer: -16*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 162, 347, 534, 723, 914, 1107, 1302?\nAnswer: 1499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + -9. Which is smaller: -15 or z?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + 31 + -17 + -4?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 48*o - 7*o - 86*o + 2385 for o.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, e: 3}. Give prob of picking 2 m and 2 e.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1406*k - 11612*k + 295974 for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -131.89089 rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -5*t**5 + 5*t**4 + 45*t**3 + 55*t**2 + 20*t = 0?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 3*f + 69, -3*f + 15 = -1977*y + 1978*y for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4 + (3 + sqrt(2299) + -2)*1)*-6)**2 + 4 + -3.\nAnswer: 15840*sqrt(19) + 334657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1 + (-209)\/(-33))\/((-2)\/(-120))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + c)*(0 + 4 + 0) + 0*c + 2*c - 3*c + (-2*c + 0*c + 0*c)*(-1 + 1 - 2) + 44 + 31*c - 44 + (-1 + 1 + c)*(2 - 2 - 2)*(-4 - 1 - 2).\nAnswer: 52*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 6*l - 5. Let v be s(7). Let o = -37 + v. What is the second derivative of -12*m**5 + 27*m + o*m - 15*m wrt m?\nAnswer: -240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 28*f - 53. Let m be c(2). Suppose -4*t - 5*d = 6, 3*t + 2*d = -2*d - 5. Solve -3*a + 4*r = -10, 21 = -m*a - 4*r - t for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -52*g**7\/21 + 45*g**4\/4 - 113*g. Find the third derivative of n(y) wrt y.\nAnswer: -6240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3*a + 0)*(4 - 4 - 1)*(0*a - 2*a + a) to f*a + h + x*a**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**2\/5 + 902*s\/5 = 0.\nAnswer: 0, 451\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 676 a factor of 842296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 109242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*d - 54 = 187*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 17*x**2 - x - 2. Let u be j(-1). Let n be (40\/u)\/((-1)\/478). Let l = n + 2162. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.241655 hours to seconds.\nAnswer: 869.958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + -3 + (2 - -8) - (-7 + 11 + 1).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -223 - 296 + 323. What is the remainder when 54 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119958*k**3 + 65310*k**3 + 13021*k**3.\nAnswer: 198289*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, o: 2, z: 3, r: 2}. What is prob of picking 1 r and 1 z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1367, -2513, -3673, -4847, -6035, -7237, -8453?\nAnswer: -9683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence njj when three letters picked without replacement from crnrcnjjncck.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19002146.\nAnswer: 2, 9501073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**4 - 2502*i**3 + 7488*i**2 - 7482*i + 2493 = 0. What is i?\nAnswer: 1, 831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -39506, 45 in decreasing order.\nAnswer: 45, 4, -39506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9477 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 23*z**2 + 18*z - 84. Let k be c(-22). What is the first derivative of -147*g**4 - 5 + k + 6 + 179*g**4 wrt g?\nAnswer: 128*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -66, -60?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 10:50 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45081*12.\nAnswer: -540972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - j**2)*(-143*j - 3*j**2 + 143*j)*(-5*j - 2*j - 2*j).\nAnswer: -27*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -41858?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 607 + -609. Suppose -7 - 22 = m. Which is the closest to 1? (a) -5 (b) i (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 510 = -2*y, -3*y - 249 = -9*k + 11*k. Suppose 535 = 2*m + 5*l, -l = -2*m + 512 - 7. Calculate the remainder when m is divided by 3\/((-1)\/(k\/9)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1230 + -2230?\nAnswer: -10120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/255 bigger than -0.784?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 71147450 rounded to the nearest ten thousand?\nAnswer: 71150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c - 1. Let y be q(-4). Let k = y - -8. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11999 greater than 12005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yufhuuuhgguffuuggftg. What is prob of picking 1 t, 1 h, 1 u, and 1 y?\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 340 and 315860?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 296411797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 6:23 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1279487 is divided by 168?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -25.2. Let h = -6 + m. Let x = 0.36 - -0.04. Which is the closest to -0.1? (a) -0.1 (b) h (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2172749.\nAnswer: 239, 9091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 44177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -18*v - 52. Let w be u(-26). Calculate the highest common factor of 364 and w.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 858 - 529. Suppose 5*u - 386 - m = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2601954 = 30*r + 2602554 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 426*n + 14092. Determine b(-30).\nAnswer: 1312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7817.55 centuries?\nAnswer: 781755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - a + 2)*(-2 - 1 + 2) + a + 0 + 0)*(-15 + 9 + 57 + 41) to the form k + z*a and give z.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3*t**2\/4 - 72*t - 16059 = 0.\nAnswer: -106, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -1\/12, -7 in descending order.\nAnswer: -1\/12, -2\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 191 + 3*c - 153 + 0*c in the form h*c + u and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5741985?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9778 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 7, 75, 1\/6, -1400 in ascending order.\nAnswer: -1400, 1\/6, 7, 10, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 10:18 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 208453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 10:05 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q + 2*q**3 + 162*q**2 + 147*q**2 - 606*q**2 + 147*q**2 + 150*q**2.\nAnswer: 2*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 337836.3 centuries to millennia.\nAnswer: 33783.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32182350.\nAnswer: 2, 3, 5, 103, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23441*d**3*x**4 + 8*d**3 + 94*x**5 - 375007*x**2 + 1 wrt x.\nAnswer: 562584*d**3*x + 5640*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-7\/3)*n\/(n\/n**(-2\/27)))**49)**(3\/10) assuming n is positive.\nAnswer: n**(-931\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*r + 17. Suppose v + r = 13. Suppose 15 = -v*t + 2*n + 184, 161 = 5*t + 2*n. What are the prime factors of t?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66725 and 310546000?\nAnswer: 3925","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 105*o**2 + 25 - 141*o**2 - 102*o**2 + 375*o**2.\nAnswer: 27*o**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 2:31 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 47 = d, 5*c - 29 = -2*d - 10. Solve 0 = -0*p - p - 4*f + 13, 2*p - 4*f + d = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 403, 400, 403, 418, 451, 508, 595?\n\"Answer: t**3 - 3*t**2 - t + 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k**2 + 1 + 2*k - 2*k**2 - 6*k**2 + k**3. Suppose i - 10 = 2*d, 0*i + 4*d = -2*i + 4. Suppose o - i + 4 = 0. Determine u(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(1\/3))\/f)**(-2\/121)\/(f\/(f\/(f**(-15)*f*f))*f*f**16) assuming f is positive.\nAnswer: f**(-1450\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -370 + 260. Let p be ((-8)\/a)\/((-4)\/(-10)). Let w = -9 - -8.7. What is the second biggest value in 2\/5, w, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 28391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 8096.467 years?\nAnswer: 8.096467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 372460.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 106*t**2 - 25*t**2 - 38*t + 38*t as f + s*t**2 + w*t and give s.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i - 2. Determine m(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -97042 + -144\nAnswer: -97186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 1 + 0*x**2 - 4*x - 4*x**2 + 8. Let p be v(4). Let z(j) = -j**3 - 9*j**2 - 3*j - 18. Let r be z(p). Solve 2*g = -g - r for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086997523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -983*y - 29. Let b be a(-2). Let i = 3795\/2 - b. What is the common denominator of i and 83\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17456 - 17460. Let b(u) = 2*u**2 + 4*u - 3. What is b(r)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 785 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 270? (a) -2 (b) -0.2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-10 + 10 - 1) + 12?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 162 divided by 27\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13987.\nAnswer: 71, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 4*o + 2, 0 = 5*t - 0*t - o + 4. Suppose 15 = -4*q + i, 18*q + 5*i = 13*q. Which is the smallest value? (a) t (b) q (c) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(-2*j**3 + 0*j**3 + 4*j**3) + (-j**3 + 0*j**3 - j**3)*(-2 + 3 + 1) - 4*j**3 - 6*j**3 - 19*j**3.\nAnswer: -31*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 96, 3 in decreasing order.\nAnswer: 96, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1012)\/1265 + 84\/5. Solve -13*p - 2*k - 19 = -u*p, -21 = -2*p + 3*k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -63\/4145170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96994760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 980575 is divided by 100.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45809967 is divided by 14529?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -13340000 to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 551*d - 30030 = 530*d. What is the greatest common factor of d and 260?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 8. Suppose 14 - f = -4*t. What is the lowest common multiple of (-10)\/5*1\/t and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 + -27. Let z = -19.0000006 + d. Round z to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 4. Let n be -3*15\/90*-1*(-1 + 7). Let l(u) = -u + 4. Give n*w(q) + 2*l(q).\nAnswer: q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-28)\/(-70) - (-182)\/(-5). Let n = f + 50. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46057\/190 - -1224\/5. Let a = 708\/133 - i. What is the common denominator of a and -73\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6504176 is divided by 338.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + 8, 0 = -5*d - 7*k + 8*k - 12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/1 + 12\/6. Suppose v + 2*y - o*y - 13 = 0, 19 = 5*v + 3*y. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55131 by 263.\nAnswer: 55131\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 285 = 5*w, -13 = 2*c - 3. Let z be (1 + w\/60)*1. Put 1\/23, 3, z in decreasing order.\nAnswer: 3, z, 1\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1978 - 1978.03886. Let n = u + 0.03878838. What is n rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + q + 2. Let k(r) = -r**2 + r + 2. Suppose -27 = s - 4*u - 8, u = 4*s + 1. Suppose 5*d = s - 26. Determine d*x(g) + 4*k(g).\nAnswer: g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a47 - -23?\nAnswer: a6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 0, -7 in descending order.\nAnswer: 2\/5, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 0 + j to the form r*j + d and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, b: 1, m: 2, t: 1, c: 2, f: 1}. Give prob of picking 1 t and 2 m.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1924767 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 1093?\nAnswer: -2\/1093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18762, -75180, -169196, -300810, -470022?\nAnswer: -676832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 21*x - 23. Let a be i(9). What is the greatest common factor of a and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-9))\/((-7)\/42). Let p(i) be the second derivative of i**3\/6 - 7*i**2\/2 + i. Calculate p(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 434\/16 + 5684\/6496 + 9\/6*-6.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 z, and 1 w when three letters picked without replacement from zxwwxkwkrwxxwxy?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 875.64083*0.01\nAnswer: 8.7564083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -5, -4, 1\/154 in descending order.\nAnswer: 4, 1, 1\/154, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a day in minutes?\nAnswer: 2340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3.252*-0.2\nAnswer: -0.6504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rsrwrwwwsqq. What is prob of picking 2 w and 2 r?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0 = -8. Solve 0 = 5*l - v + 14, 0*l + 10 = -2*l - q*v for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/4)\/3*-12. Calculate the highest common divisor of l and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 997264.5 decades in years?\nAnswer: 9972645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of 5*b**4\/8 - b**3\/3 - b**2 - 106*b - 4. Let l(k) = -54*k**2 - 2. What is l(i(u))?\nAnswer: -12150*u**2 + 3240*u - 218","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/307 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d. Let g(j) = 3*j**2 - 5. Let m(s) = 1. Let x(i) = 3*g(i) + 15*m(i). Determine x(c(w)).\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 11:46 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4*j**3 + 20*j**2 + 3. Let v be q(5). Let r(t) be the second derivative of 0 - 1\/20*t**5 + 16*t - t**2 - 5\/12*t**4 - 5\/6*t**v. Give r(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 36 = 2*d - 6*d, 2*d = -4*l - 12. Let y = d - -2. Solve -3*p - y = -0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 29*s**2 + 166*s - 37. Let r be c(-21). Solve r*u + 0 = -15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0888232 from 2.1.\nAnswer: 2.1888232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2098?\nAnswer: 2, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/2 + 231*c**2 - 3271*c\/2 + 2814.\nAnswer: (c - 4)*(c - 3)*(c + 469)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 40367342891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6549, 6579, 6607, 6633, 6657, 6679, 6699?\n\"Answer: -l**2 + 33*l + 6517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 97 = -8*l. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226138622 to the power of 1\/4, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.5 + 1.6. Which is the closest to -0.1? (a) x (b) 4 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 9) in base 4?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**2 + 0*o**2 + 0*o**2 + 2*o**2 - 6*o**2 + 3*o**2 + (-2*o + 0*o + 3*o)*(-o + o + 2*o) + 0*o**2 - o**2 + 2*o**2 + (11*o - 6 + 6)*(-o + o - o).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 99741145012930 + -2\nAnswer: 99741145012928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9450\/(-9900) + 3\/2?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 0*b**3 + 0*b**4 + 0*b**6 - 26*b**2 + 0*b + 1\/12*b**5 + 0 - 4\/35*b**7. Find the third derivative of x(s) wrt s.\nAnswer: -576*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 557 - -14902. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49301830 + -49301615.00103. Let r = 215.426 + -0.426. Let v = h - r. What is v rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 172? (a) -0.0585 (b) -0.5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003779785112 rounded to four decimal places?\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 445 - 442. Solve -5*c + k = 2*o, 3*c + 4*o - 3*o - 1 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(10\/(1440\/16))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -30 - -38 - (-1 + 4 + -4)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4158\/(-198))\/((-28)\/(-20)). Let c = -1 + 3. Put t, c, -4 in descending order.\nAnswer: c, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 281 and -0.054 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8970 and -38?\nAnswer: -340860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-240)\/(-840)*(-9646602)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4014 = 109*k + 1398 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 227 - 221. List the prime factors of 467\/(o - (-4 + 9)).\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 504.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*a - 88*a + 4*b = 90, 4*b = 3*a - 6 + 68 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 94, 141, 188?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1561303?\nAnswer: 1561303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -925\/272 - -77\/16. Let l = q + -69\/85. Let z = -22 + 22.4. What is the third smallest value in z, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 675738 and 25575.\nAnswer: 185827950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 29, 5, 1 in descending order.\nAnswer: 29, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -823 + 829. Let d = -4 + 7. Solve -w - k = 1 + 1, -5*w + d*k + q = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*sqrt(304) - (sqrt(304)*-3 + -2))**2 + 0.\nAnswer: 96*sqrt(19) + 10948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 12:54 AM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, z: 10, b: 2, l: 1, i: 1, g: 5}. What is prob of sequence li?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, e: 2, u: 2, o: 5, y: 3, x: 2}. What is prob of picking 1 y, 1 o, and 1 e?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 7*k + 5. Let r be z(6). Put r, 1, 0 in decreasing order.\nAnswer: 1, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 4. Let v = -3.5 - -4. Which is the third smallest value? (a) y (b) v (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, -0.666, 1?\nAnswer: -0.666","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 32.\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (8 + -13 + -11) - -13) + -44?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-294)\/10633)\/(12\/(-42))\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.909473mg in grams?\nAnswer: 0.009909473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 204007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 27*q + 85. Let d be x(-25). Suppose 0 = 2*f + 5*b + 7, -4*b - 24 = -5*f + 2*f. Solve 3*z = -5*w + z + 19, f*w = 5*z + d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7105419*r**2 - 94513997*r wrt r?\nAnswer: -14210838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 228942, 457675, 686402, 915123, 1143838, 1372547, 1601250?\nAnswer: 1829947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 959159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, t: 2, v: 2, k: 7, a: 5}. What is prob of sequence cva?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.253 minus 376?\nAnswer: -376.253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1572999437?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*v = 33*k - 29*k + 420, 3*k + v - 29 = 6*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54319 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 317 - 306. What is the lowest common multiple of o and (-1 - 20)*5\/(-15)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2. Suppose -2*y + 4*y + 40 = 0. Let h be (-1)\/(-5) - 3216\/y. Let d(n) = 167*n - 1 - h*n + 1. Give d(w(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0904118 minutes to nanoseconds.\nAnswer: 5424708000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aearecaao. What is prob of sequence cora?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3604?\nAnswer: 2, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/2)\/(6\/(-20)). Suppose 0 = -4*t - a + 19 - 4, a - 20 = -z*t. Solve -t = 4*u + 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00083211959 to 5 dps.\nAnswer: -0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 + (-19)\/(133\/(-46365)))\/((-2)\/(-14))?\nAnswer: 46351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - (3 - (16 + -5)). Let y(v) = -n + 0 - v**3 + 2 + 7*v + 2 + 6*v**2. What is y(7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 4. Let i be k\/(-4) - (-33)\/6. What is the third derivative of -t**2 - 2*t**5 - t**i + 6*t**5 wrt t?\nAnswer: 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -12*l**2 - 164*l - 104. Let a be d(-13). Put 5, 4, 6, -3, a in descending order.\nAnswer: 6, 5, 4, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - 0 - (-2 + 4). Let i(a) = -x*a - 6 - a + 6*a. Let d(q) = -33*q - 21. Let v(o) = 89*o + 61. Let t(r) = 11*d(r) + 4*v(r). Give -9*i(c) - 4*t(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 209*o**2 + 2*o + 7 - 211*o**2 + o to v*o + x*o**2 + n and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.4? (a) 3\/5 (b) -2 (c) -1\/14 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15608 or -0.07769?\nAnswer: -0.07769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*1*(-31)\/62*1\/(-15).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-65)\/(-30) + 2\/(-12). Solve -3*x = -8 + k for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 6672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(5\/2)\/g*g*g*g*(g\/(g\/(g*g**(2\/3)*g)))\/g*g*g**2\/g*g**(-9))**(-2\/9) assuming g is positive.\nAnswer: g**(-1\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a week in seconds?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*d + 37171 - 37171.\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -15*t**2 + 1279*t + 200. Calculate k(85).\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*t + 450*t - 153*t - 201*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - -2. Suppose 3*o - a = 45. Suppose -m + o = 3*m. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/20)\/(2\/(-24)). Let n(c) = c - 2. Let f be n(r). Let l = f + -3. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97487 is divided by 97470?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 400927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*t - 3*w + 431623 = -31*t, 86297 = t - 4*w. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -644?\nAnswer: -644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 154*r**3*u**3 - 91*r**3 - 508*r**2*u + r*u**3 + 6 wrt r?\nAnswer: 924*u**3 - 546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 12. Suppose 0 = a*d + d, -p + d = -6. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -1528*d + 1473. What is the ten thousands digit of m(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxlddxlkxxlkkdldlkgl. What is prob of sequence kgl?\nAnswer: 7\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -6*h + 8 + 5 + 6*h**2 - 3*h - 5*h**2. Let c be u(10). Let o = c + -8. Solve 3*y - 8*y - o = -2*w, y - 19 = -4*w for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxx when three letters picked without replacement from xlxllxlnnzxlln.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + sqrt(18) - (-2 + sqrt(242))**2) - ((((sqrt(72)\/sqrt(4) + sqrt(18))*-1)\/sqrt(9))**2 + 6*(0 + sqrt(2)) + (sqrt(72)*-1)**2).\nAnswer: -576 + 88*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2a06 (base 11) to base 9\nAnswer: 5278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13 - -3)*(-1)\/2. Suppose x + m = 11. Suppose -3*t + t = -x. Solve n = -2*n + t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 208*p**4 + 4953*p**3 - 825394860*p**2.\nAnswer: 4992*p + 29718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-4) - (-14)\/4. Let v(n) = -13219*n**3. Let q be v(-1). Suppose -q = c*z + 1781. Round z to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 12*f**2 + 34*f - 16. Let u be t(15). Let w = u - -208. What is the common denominator of w and -25\/21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 0 + 0)*0. Suppose v = -5*f + 5*z - 2664 + 24399, 2*f - 5*z = 8691. Suppose -2*r = -2*h - 2174, 8*r - 4*r + 4*h - f = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 583 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27443?\nAnswer: 13, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 1:08 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -0.2, 652, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n - 2 = 11*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9218569366609.19409324 - 9218571170496. Let c = y - -1804193.8059. Let a = -307 + c. What is a rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + 3)\/(2\/2). Suppose -b*i + 18 = -2*a, 0 = 5*a - 6*i + i + 15. Let p = 50663\/8 + -6333. Which is greater: a or p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (-2)\/(-1))*(-748 - -740)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = c - 5*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0213955097 rounded to 5 dps?\nAnswer: 0.0214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-10) - 63\/(-5). Let c = z + -10. Suppose -2*y - c*y = -112. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1*h)**(-22) assuming h is positive.\nAnswer: h**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -48 - ((-1)\/(120\/48) - 18\/5)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3186427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1471)\/(-6)*3\/20. Let k = i - 127\/5. Find the common denominator of -2 - (-3)\/(60\/202) and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - g + 9 = -2*m, 2*m - 3*g = -16 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/3048 and 79\/1158.\nAnswer: 588264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*o + 2*o - 46*o)*(0 - 1 - 6)*(22*o**2 + 0*o**2 + 0*o**2) as v*o**2 + g*o**3 + s + q*o and give g.\nAnswer: 7700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/24 and 149\/744?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 4:25 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 0*z + 0 + 1\/6*z**3 + 13\/240*z**5 + 1\/840*z**7 - 3*z**2 - 1\/8*z**4 - 1\/80*z**6. Factor o(a).\nAnswer: (a - 2)**2*(a - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**7)**7)**(-2\/3) assuming d is positive.\nAnswer: d**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 11:50 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 98170 (base 13) in base 4?\nAnswer: 1003013011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 31090865, 31090863, 31090861, 31090859?\n\"Answer: -2*p + 31090867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.08639 rounded to zero dps?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -14*n**2 + 0*n**5 + 1\/210*n**7 - 3*n**3 + 0*n**6 + 0*n + 0 + 0*n**4. What is the derivative of s(w) wrt w?\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 4*n + 33 = 0, 51 = -36*z + 41*z + n - 8*n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -4*l**3\/3 - 748*l**2\/3 + 1508*l\/3 - 252 = 0.\nAnswer: -189, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cpfccof. What is prob of sequence cp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/19*a**2 - 8\/19 + 4\/19*a**3 - 2\/19*a**4 - 8\/19*a.\nAnswer: -2*(a - 2)**2*(a + 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5250.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216360422 and 981?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2 - 3*h - 1. Let x(r) = -52*r**3 - 10*r**2 - 12*r + 254. Let k(i) = 5*f(i) - x(i). Differentiate k(l) with respect to l.\nAnswer: 156*l**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*m - 3*m**3 - 49*m - 4*m**2 - 3*m**2 - 2*m**2 + 7*m**2 in the form p*m**3 + w + b*m + l*m**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8a30 - -33?\nAnswer: -89ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 67\/7 (b) -5 (c) 68\/13 (d) 2 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 283 + 481. Let i = 467 + l. Is i a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22424078?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 60190.96725 to the nearest integer.\nAnswer: 60191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 - 123*s - 8658.\nAnswer: 3*(s - 78)*(s + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -1.1. Let c = 10.4 + -8. Let s = c + -0.4. Which is bigger: s or p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 1. Let w = 38 - 39. Let j = -4 - -3.7. Put j, l, w in ascending order.\nAnswer: l, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 199671674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m = m + 21 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -17*z + 96. What is the tens digit of b(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 3, 16, 33?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + ((-564)\/(-72) - (10 + -4 + 0))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 8*z - 14. Let a(i) = i**2 + 4*i - 7. Let p(n) = 5*a(n) - 2*q(n). Let g be p(5). What is the greatest common divisor of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12086 + 12122. Suppose -v + 3*v = 16. Calculate the remainder when o is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -38*t**3\/3 - 21*t**2\/2 + 25. Find the second derivative of a(m) wrt m.\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13991.\nAnswer: 17, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5644 is divided by 401?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9611 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 h when two letters picked without replacement from hqhpppwhzpzm.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 4*a = 16. What is the remainder when a is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2712, 2741, 2772, 2805?\n\"Answer: g**2 + 26*g + 2685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17889 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: Let o(x) be the second derivative of -x**5\/30 - x**4\/9 + x**3\/9 + 2*x**2\/3 + 225*x. Determine j, given that o(j) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154401584 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k - 40. Let b(y) = -y + 20. Let s(h) = 9*b(h) + 4*m(h). Let v be s(13). Suppose v*r + 8850 = 4*r. What is r rounded to the nearest 100?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7321635 + 7321635 - 2*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5806989.\nAnswer: 3, 19, 29, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = 52*g - 54*g. What is the greatest common factor of 7 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 82.\nAnswer: 10\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 2. Suppose -5*c = -o*c - 15, 0 = -3*l + 4*c - 51. Let u = l - -21. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-73465)\/(-28))\/5 - 5\/(-4). Let u = 222 + t. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*t**2 - 17*t**2 - 14*t**2 - 30*t + 27*t**2 wrt t.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivv when three letters picked without replacement from {i: 1, g: 3, v: 4, p: 3}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.53 - 0.36. Let j = 0.3 - -0.3. Let i = j + u. Round i to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525\/50*-10*(-14)\/91140?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -201088, -402172, -603256?\n\"Answer: -201084*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1629 + -1628. What is the biggest value in 2, 1\/2, o, 5\/49?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*g + 61*g = -45. Solve 13 - g = 2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 198*a**2*u**2 - 1465*a**2*u + a*u**2 + 2 wrt u?\nAnswer: 396*a**2 + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 244, -2 in increasing order.\nAnswer: -10, -2, 244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -o - 4*n + 2*n, 0 = 3*o + 5*n - 25. Suppose o*s - 70 - 30 = 0. Calculate the smallest common multiple of s and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-10)*-38)\/((-24)\/(-60)). Suppose 12*z - j*z + 28 = 0. Solve -3*d + z*w + 2 = 0, -3*w - 16 = -2*d + 7*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 804 (b) 5.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 58 and -0.2.\nAnswer: -11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 150 = 5*v, -8*i + 10*i = -5*v + 100. What is the least common multiple of i and 30?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -18*v + 1 + 87. Solve -v*s + 9 = 3*p, -2*s + 2*p - 20 = 3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-4*(-1)\/4*699)\/(4\/4) and 69?\nAnswer: 16077","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2*t - 62 = -2*z, -3*z = -t - 97. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 1. Let y(t) = 55*t + 66. Let o(u) = -u**3 + 29*u**2 + 23*u + 211. Let a be o(30). What is a*y(q) - 66*c(q)?\nAnswer: 55*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 + -33?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 23853, 23826, 23805, 23790, 23781, 23778, 23781?\n\"Answer: 3*a**2 - 36*a + 23886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1216511898?\nAnswer: 2, 3, 7, 19, 61, 67, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -1155301?\nAnswer: -1155301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/5 - 652*k\/5.\nAnswer: -2*k*(k + 326)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(sqrt(3) + sqrt(15)\/sqrt(5)))\/(sqrt(12)\/(sqrt(24)\/sqrt(4))) + (2*sqrt(26)*-2)\/(5*sqrt(8)\/sqrt(4)).\nAnswer: -3*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + 7. Suppose 96*q = -q + 3314 - 113. Suppose 11*r = c*r - q. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -144, -150, -142, -114, -60, 26, 150?\n\"Answer: s**3 + s**2 - 16*s - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 27560339 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6535*w - 3269*w - 79 = 3270*w - 3*h - 4, 0 = 3*w - 5*h + 70 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 352 divided by -46101\nAnswer: -32\/4191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 33924*m - 2. Let x(u) = 216*u. Give x(j(k)).\nAnswer: 7327584*k - 432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1607 + 1611. Let r(v) be the first derivative of -4\/3*v**3 - 1\/4*v**q + 6*v - 12 + 3\/2*v**2. Calculate r(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l**2 + 4*l - 2. Let p(a) = -a**2 + a - 1. Let j = 43 - 42. Calculate j*t(w) - 2*p(w).\nAnswer: -2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310 - 270 = -20*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 7, -5, -75, -2 in decreasing order.\nAnswer: 7, 3, -2, -5, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -48, -68, -84, -96, -104?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 732.\nAnswer: 5124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315) - ((-2*sqrt(315) - sqrt(315)) + sqrt(315)))\/sqrt(5) - (sqrt(3087) + 1*sqrt(3087) - sqrt(3087)))\/((-1*sqrt(36)*-5)\/sqrt(4))*1.\nAnswer: -4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/(((-171)\/304)\/(-3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 20 = -2*u, 7*u + 16 = 2*u - n for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40761 to the power of 1\/2, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**4)\/i**5*(i**(2\/7))**48 assuming i is positive.\nAnswer: i**(40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xk when two letters picked without replacement from {k: 3, x: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 3, -5, -17473 in decreasing order.\nAnswer: 4, 3, -3, -5, -17473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 403251 (base 6) in base 15?\nAnswer: 968a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19453350 rounded to the nearest 10000?\nAnswer: -19450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*((-14)\/(-4) - 3). Suppose q = 5*t + 12 + 3, 3*u - 3 = -4*t. Solve -8 + u = 3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.82 + -0.78. Round q to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17477063 is divided by 39.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48*h*i**2 - 77191*h + 294229372*i**2 wrt h.\nAnswer: -48*i**2 - 77191","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1*sqrt(44))\/sqrt(4) + ((-1 + sqrt(99))*3)**2.\nAnswer: -53*sqrt(11) + 899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(70))\/sqrt(10))**2 + -4.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v**3 + 23*v**3 + 1 - 7*v**3 + v. Is p(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -116897612 and -0.74.\nAnswer: -116897612.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-9)*(-1)\/(-3). Sort 2\/5, -1\/3, -1, y in ascending order.\nAnswer: -1, -1\/3, y, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -5 - 1)*3. Let x be o\/1*459\/81. Solve 16*u - x*u = -3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -7*n + 2. Let h(w) = w**2 + 24*w + 8*w + 4*w - 10. Suppose 4 = -l + v, 17*l + 12 = 11*l + 4*v. Determine l*h(i) + 11*j(i).\nAnswer: 2*i**2 - 5*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-39)\/(-26))\/((-3)\/28). Let i(h) = h**2 + 13*h + 7. Let y be i(o). Suppose 2*l = y + 7. Calculate the greatest common factor of 7 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 2\/11, -2726.6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -3*c - 36. Let h = c + -3. Let u(k) be the third derivative of -k**6\/120 + k**5\/12 + 7*k**4\/24 - k**3 + 6*k**2. Give u(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axvxxjxc. What is prob of picking 1 a and 1 j?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 + 1164*o**2 + 112908*o + 3650692.\nAnswer: 4*(o + 97)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i + 2. Let j = -4 + 6. Let b(r) = 1. Calculate j*y(l) - 5*b(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -89*a - 21. Calculate b(-1).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -4, -0.16, 369?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*w**2\/11 + 32*w - 1176\/11 = 0. Calculate w.\nAnswer: 6, 98\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 5:23 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 56*d - 16752. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170402518?\nAnswer: 2, 11, 13, 137, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14772)\/17234 + ((-10)\/(-3) - 6\/(-9)).\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*u**4 - 10 + 14 - 2*u**4 + u**4 - 2*u in the form i*u**2 + m*u**3 + j*u**4 + s + q*u and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**4 + 126*x**3 - 1528*x**2 - 24216*x + 383040 = 0 for x.\nAnswer: -14, 15, 24, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h. Calculate the remainder when 51 is divided by x(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-31 + 1) - (-173 + 202 + -22) - 10\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - b - 2. Let s(w) = w**2 + 6*w + 19. Let x be s(-13). Suppose -v + x = v. Let i be (-20)\/11 - 10\/v. Give r(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4320 and 640?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 288 - 278 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(-3))\/((-3)\/9). Suppose 0 = u - d + 1. Find the second derivative of -r**u + 5*r - 2*r + 0*r**4 wrt r.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*v + 63123*v**3 - 41*v**2 - 30*v.\nAnswer: 63123*v**3 - 41*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9989 is divided by 149.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4030\/1612)\/((-35)\/4). Put r, -0.1, 9, 1\/112, -3 in descending order.\nAnswer: 9, 1\/112, -0.1, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -58166499.93 to the nearest ten thousand.\nAnswer: -58170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w - 3*w - w)*(6*w + 2 - 2*w + 2*w) + w**2 + w**2 - 4*w**2.\nAnswer: -68*w**2 - 22*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11368 + 11864. Calculate the remainder when k is divided by 101.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**6\/30 - 3*z**5\/20 + 2*z**3\/3 - 12*z + 3. Solve s(k) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412\/14 + 12\/(-28) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -605 + 610. Let c = -0.1 + 0.2. What is the second smallest value in 3, q, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 - -49.87. Let v = 0.13 + h. Is v < 1.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 878815 by 10339.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 + -23. Let k = q - -16. Does 19 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1\/13, 14, -2, 0, 17\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 4:34 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-1)*(-273)\/42*2\/(-26)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -f**5\/20 + f**4\/12 - f**3\/2 + 358*f**2 - 116*f. What are the prime factors of p(0)?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52 - 44. Let n(t) = -t**2 + 11*t. What is the remainder when n(5) is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1498?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**3\/11 - 106*u**2\/11 + 1252*u\/11 + 1360\/11 = 0?\nAnswer: -1, 20, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 461*z - 8 = -462*z + 919*z + 9*b, -z = -b - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 - 10 + 21)*(-u**5 - 3*u + 3*u) - 2*u**2 + 2*u**5 + 2*u**2 + (u - 2*u - u)*(u**2 + 2*u**4 - u**2) - 1 - 2*u**5 + 1.\nAnswer: -50*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 952\/(-153) - (-16244)\/(-11790)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1706618 divided by -38?\nAnswer: -44911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 775 = z + 735, 4*f = -4*z + 192. Solve -85 = -15*q + z for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 163815, 1, -3 in decreasing order.\nAnswer: 163815, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 289668671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5549 + -5510. Calculate the remainder when 561 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35381 - 15748 = -0*k - 3*k. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, u: 18}. What is prob of picking 4 u?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/3294 and -119\/414.\nAnswer: 75762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 4*g - 20 = 0. Suppose -g*w + 5 = -39. Suppose l + 3*l = 3*b + 33, l - w = -2*b. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1880547 rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**4\/8 - q**3\/3 + 31*q**2. Let y be 3\/5 + 392\/(-70). Let x(h) = 7*h - 4. Give y*n(d) + 2*x(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 0*r**4 + 13\/210*r**7 + 2*r - 19*r**3 + 0 + 0*r**6 + 1\/30*r**5 + 69*r**2. Differentiate a(c) with respect to c.\nAnswer: 52*c**3 + 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and 1800430178583.\nAnswer: 1800430178583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 975769974?\nAnswer: 2, 3, 54209443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 31480.\nAnswer: 62960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -107940 divided by -26985?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 6*z - 1. Let y be c(-6). Let t be (1 + y)\/(-2 - -1). Let r = -2\/103 - -418\/309. Put -1\/5, t, r in ascending order.\nAnswer: -1\/5, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-44)\/12 - -3)\/(4\/(-30)). Suppose -2*k + 134 = b, t*b = 2*k - k - 67. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7*44447\/91 - (-7 + 2).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -5*b - 43, b + 0*k + 23 = -4*k. Let o(h) = h**2 - 2*h**2 + 0*h**2 + 1 - 6 - 10*h. Let c be o(b). What is the greatest common factor of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5926949712 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 107.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -83848 = -737?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -7*f + 2*y, 4*f + 83 - 99 = 4*y. Factor -9*x - 1\/3*x**f - 26\/3.\nAnswer: -(x + 1)*(x + 26)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -242, -224?\nAnswer: -242","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -26. Suppose s = -2*m + 3*s - 2, -u*m + 4 = -5*s. Let k be (-1)\/m + (-178209)\/27. What is k rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/3 - 14*i\/3 + 689.\nAnswer: -(i - 39)*(i + 53)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 679389 or 679517?\nAnswer: 679389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48240309 is divided by 1556139.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -11*b**3 + 1. Let n(j) = -5*j**3 + 3*j**2. Let g(r) = -3*r**3 + 2*r**2. Let o(q) = -3*g(q) + 2*n(q). Give -5*o(p) + u(p).\nAnswer: -6*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6621870 divided by 3090.\nAnswer: -2143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**5\/f*f))\/f*f)\/(f**1*f))\/((f**6\/f)\/(f\/f**(-2\/11)))*f\/f**(-4)*f\/f**(2\/9)*(f*f**(1\/4))**(5\/7) assuming f is positive.\nAnswer: f**(-8725\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -110 - -114. Let l(g) = -2*g**3 + 11*g**2 + 6*g + 3. Let m be l(6). Put m, -1, p in decreasing order.\nAnswer: p, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(6)*1) + 6*5*sqrt(5).\nAnswer: 31*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12649 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 385*d**3 - 3 + 393*d**3 + 6.\nAnswer: 8*d**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9.239257t?\nAnswer: 9239257000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44645171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -71 + 198. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -70.8189233 to 2 decimal places.\nAnswer: -70.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -16. Let j = -11 - n. Solve j*i = i + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, j: 2, o: 7, l: 2, v: 4}. Give prob of sequence jv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = -16*w + 563. Suppose w = -2*h + 46. Let l(y) = -17*y**3. Determine l(h).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fddddtro. What is prob of picking 1 t and 1 r?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s**2. Let y(h) = -9*h + 5. Let m(o) = -o + 1. Let i(d) = 5*m(d) - y(d). Determine u(i(w)).\nAnswer: -80*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -70, -512, -1720, -4096, -8042?\n\"Answer: -67*t**3 + 19*t**2 - 30*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2281*a - 13656 = 77*a - 1210*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(-4\/7))*m**(-6))**49*((m**(-2)*m)\/(m*(m\/(m*m*m*m\/(m\/((m\/(m**(1\/2)\/m))\/m*m))*m*m))\/m))**(-9) assuming m is positive.\nAnswer: m**(-613\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(77) - 5*(sqrt(77)*-1 - sqrt(77))))\/((sqrt(42) - ((sqrt(210)*6 + sqrt(210))\/sqrt(5) - sqrt(42)))\/sqrt(6)).\nAnswer: -33*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2466*b**2 - 56733*b - 314. Give c(-23).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 85788 and 3798?\nAnswer: 18101268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5226 (base 10) to base 13\nAnswer: 24c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/10 + (-4)\/20. Let a be -2 + ((-174)\/26)\/(-3). Which is bigger: a or f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -17097 + h + 17096 + h**3 + h + 3*h**2 - 3*h. Calculate x(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -128 and 0.3.\nAnswer: -38.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23 and 43.\nAnswer: -989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 12*p - 12*p - 7 - 2936*p**3.\nAnswer: -2936*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-5) + ((-14376)\/(-15) - -3). Suppose c + 632 = 2*w - 4*m, 3*m = -4*w + 3188. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 520279.\nAnswer: -4\/520279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -28*l - 71. Is p(-10) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -45, -44, -29, 0, 43, 100?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -129 <= -121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 7*h - 8. Let o be i(8). Suppose 0 = -v - 2 - 7. Let f be (o\/2 - -2)\/v. Which is the third smallest value? (a) f (b) 5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70.6 + -68.6. Let i = 10 + 4. What is the second smallest value in i, d, -2\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 621*1*4\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 177882903?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 152, -68919, -4 in ascending order.\nAnswer: -68919, -4, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -j + 4. Let k be (j + -1 - -1) + -1. Let s(n) = -n**3 - 2*n**2 - n + 1. Let w be s(k). Solve w*z + 2*x + 3*x - 24 = 0, -z - 9 = -4*x for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3050063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-152)\/38*(-2)\/(-18) + (-24)\/(-144)\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 4)*(-625*j + 170*j + 174*j) + 2*j + j - 5*j.\nAnswer: -845*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (5750\/345)\/((-10)\/(-24))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15076, 30149, 45222, 60295, 75368?\nAnswer: 90441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 6, -3*l = 4*o - 7*l - 44. Solve 2*q - 3*f = 12, -3*f - 4 = o*q - 2*f for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81\/14 > 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - 4. Let z be h*-4*3\/18. Suppose -z*a = 4, 4*c - 115 = 2*a + a. What is the highest common factor of c and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z**2 + 19*z - 5. Give v(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 times 0.6790503?\nAnswer: 27.8410623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -218\/47, -91, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c**3 + 3*c**3 + 2*c**3)*(7 - 16 - 2) in the form f*c + t + z*c**3 + j*c**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -148.5 - -122. Let w = j - -27. Let g be (-14)\/(-10) + 2\/(-2). What is the closest to -2\/3 in g, w, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/387209543 and 67\/4.\nAnswer: 1548838172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/2*(-2)\/(-18)*3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3730541.\nAnswer: 3730541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -309873 * 77.\nAnswer: -23860221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2552*u + 83. Let o(p) = -2547*p + 55. What is 2*k(a) - 3*o(a)?\nAnswer: 2537*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -427 (base 11) to base 5.\nAnswer: -4023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -150 greater than or equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87106 is divided by 427?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1039*k**2 + 57*k**3 - 1207*k**2 - 203*k**3 wrt k.\nAnswer: -876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 2*g. Is k(4) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l - 8. Let f(n) = 2*n + 8. Let s(q) = -3*b(q) - 4*f(q). Suppose -3*p - 12 = -27. Suppose -2*m - 3*m - 5*t = -55, 0 = -m + 3*t - p. What is s(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1647820018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0429500104 rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 865882.\nAnswer: 2, 29, 14929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*k + 169*k = -14. Solve k*m = 3*m + 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*s = 2*s + 6*s - 238 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3813379?\nAnswer: 3813379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*d**2*g**2 + 15890*d**2*g + d**2 + 2*d*g**2 - d*g + d + 17266*g**2 + 5 wrt g.\nAnswer: 68*d**2 + 4*d + 34532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*c + 6. Let d be 6\/(-3)*(-1)\/c. Let z(a) = 9*a + 1. Give z(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**17\/d*d)\/d**(-3\/5) assuming d is positive.\nAnswer: d**(88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 4) to base 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1100 and 187160?\nAnswer: 10293800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 19*g**5\/60 + g**3\/6 + 9*g**2. Let w be k(-1). Let c be 2\/10 + w\/25. Sort 5, -14, c in increasing order.\nAnswer: -14, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41271 by 6.\nAnswer: -13757\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -11*q**2 - 3. Let f(m) = 3*m**2 + 1. Let s(z) = 3*f(z) + u(z). Let x(a) be the second derivative of 0 + 0*a**2 - 14*a + 5\/3*a**3. Determine s(x(j)).\nAnswer: -200*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*p - 4, -5*t + 4*p + 12 = 0. Let r(v) = -5*v + 0 - 5*v - v**3 - 12 - 9*v**2. Let x be r(-8). Put -3, t, x in descending order.\nAnswer: x, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) - sqrt(162)\/sqrt(150))\/sqrt(9) + sqrt(36)\/(sqrt(108)*-4) + 2)**2.\nAnswer: 43*sqrt(3)\/15 + 6649\/1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -1 + 266*o**2 + 1 - 265*o**2. Let a(p) = -2*p**2. What is a(y(i))?\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**3 + 0*k**2 + 0*k**2 + 2*k**3 - 5 + 5 - k**3 + 0*k + 0*k + (0*k**2 + k**2 + 0*k**2)*(-2 + 2*k + 2) - 16 - 8*k - 122*k**3 + 120*k**3 - 4*k**2 - 1.\nAnswer: -k**3 - 4*k**2 - 8*k - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 13 - (-24310)\/(-1872). Let s(a) be the second derivative of 25\/12*a**2 - 8*a + x*a**4 + 0 + 5\/18*a**3. Factor s(i).\nAnswer: (i + 5)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 3 + -5 + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 2. Let z be -1*(-7 - x) + 0. Let c(w) = w**3 - 4 - 3 - 5*w**2 + 4. What is c(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4\/9 - -1\/9. Let t = -8 + 7.8. Let x = -0.01 - 0.39. Sort a, t, x in ascending order.\nAnswer: x, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1720591.\nAnswer: 1720591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218454251.\nAnswer: 5393, 40507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 5582*h - 8878*h - 21098*h as m + q*h and give q.\nAnswer: -24394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b4 + -11?\nAnswer: a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*w**2 - 11 + 11 + 14*w**2.\nAnswer: -23*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 27*a**2 - 216*a + 506. Calculate b(7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ac5 (base 14) in base 13?\nAnswer: -22b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {l: 14, d: 4}?\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 368 - 347. Let x = 191\/12 + -61\/4. What is the closest to -0.2 in -0.1, r, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 14 = 3*b. Let c = 11 + b. Suppose 2*s + 14 = 84. What is the remainder when s is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.64618 milligrams in kilograms?\nAnswer: 0.00002864618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -1013?\nAnswer: 4\/1013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooyosnyonfsssnoysoyn. Give prob of sequence on.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/211866188 and -23\/4?\nAnswer: 211866188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6*s**2 + 9*s. Let z(h) = -3*h + 4*h + 0*h. Let r = -462 - -460. Let v(p) = r*z(p) - j(p). Find the second derivative of v(d) wrt d.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 5*o - 3. Let y be f(5). Is 18 a factor of y\/((-22)\/(-24) - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10946*d**2 + 85290*d wrt d?\nAnswer: -21892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 5*d - 3. Let n be h(-5). Let q be 1 - (n - (-1 + 1)). Let y be (-28)\/6*510\/(-119). Solve q*g - 28 = -5*s, -y = -2*g - 0*s - 4*s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.14535 - -0.15465. Sort -28, w, -0.25.\nAnswer: -28, -0.25, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/5 + -1)*15. Let m(t) = -t + 7. Let d be m(6). Let n be (f + d)\/(3 + 7). What is the third biggest value in n, 1\/3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vuuuguch. What is prob of sequence hgu?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -33, 60, 17, 0 in decreasing order.\nAnswer: 60, 20, 17, 0, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4 - 2. Suppose -3*l + 3 + t = 0. Let m = -2275 - -2277. Solve 0 + l = m*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**5\/150 - 7*t**4\/20 - 11*t**2 + 35*t. Factor n(f).\nAnswer: 2*f*(f - 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -420*i*p + 231*p wrt i?\nAnswer: -420*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*z**2 + 4*z - 70*z**2 - 3*z - 5*z + 12 - 140*z**2 as l*z + h + w*z**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 412 and -0.08.\nAnswer: -32.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*p + 98*p + 313 + 3521 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228787.\nAnswer: 13, 17599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 801335724 to the power of 1\/2, to the nearest integer?\nAnswer: 28308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 390 = 144*u + 102 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -135 - -171. Solve -r*z + 4 = -32*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - 8*b)*(3 + 0 - 4) - 6*b + 4*b + 24*b + 0*b - b + 2*b - 3*b - b + 2*b + (-1 + 3 - 1)*(-2*b + 0 + 0) to the form a + t*b and give t.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(1008) + (sqrt(1008) - (sqrt(1008) + 1)) + 2.\nAnswer: -1 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0445238 - 0.04618. Round d to 5 decimal places.\nAnswer: -0.00166","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*k**3 - 133*k - 361\/3 - 13*k**2.\nAnswer: -(k + 1)*(k + 19)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*j = -26, -2*g - 4*j + 17 = j. Let d = g + 16. Let s = 37 - d. Calculate the remainder when 58 is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62 + -62. Solve -3*t + 2*d - 2 + 3 = p, 3*t - 3*d = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, l: 5}. Give prob of picking 1 l and 2 g.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 14*g**2 + 25*g + 157. What is n(-10)?\nAnswer: 1307","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 7*p**2 - 7*p - 1. Let y be g(-6). Factor -46*n**2 + 34*n**2 + 27*n**2 - 10*n - 15*n**4 + 5*n**5 + y*n**3.\nAnswer: 5*n*(n - 2)*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -2, -0.1, -2\/17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7083915 divided by -1.\nAnswer: -7083915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -65 - -72. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -1, i - 13 = -4*t - 0*i. Suppose 4*l - 3*n + 6*n = 347, 0 = t*l - 4*n - 279. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 e, and 1 i when three letters picked without replacement from {f: 2, i: 1, d: 5, b: 4, e: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 50 = 2*w. Let z be 0 - 1\/(1\/(-2)). Solve v + 0*v = z, 2*y + v = w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*r + g + 31 = -4*g + 118, 0 = -r + g - 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -87*j**3 + 101*j**2 + 5*j. Let l = 2 + -5. Let x(k) = 43*k**3 - 51*k**2 - 3*k. Let f(g) = l*w(g) - 5*x(g). Find the third derivative of f(p) wrt p.\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 8*p = 56. What is the common denominator of ((-170)\/(-6))\/(14\/(-3)) and ((-1)\/(-2))\/(-1*p\/172)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/18267 + 980369\/365340. What is the common denominator of t and 59\/5?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 9*t**2 - 7*t + 5. Let l(q) = 26*q**2 - 20*q + 14. What is 17*d(h) - 6*l(h)?\nAnswer: -3*h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009111652649 to seven dps.\nAnswer: -0.0000911","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4562*p + 4566*p - 172 = 42 + 82 for p.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6987713 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 21 = -6*m. Suppose -5*k + 12 = -3. Solve m*h - k = -3*t, -2*t + 11 = 5*h - 0*t for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 3. Let s(w) = 8*w**3 - 88*w**2 + 3*w - 31. Let k be s(11). Solve i - y = -k*p, 4*i = p + p - 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-6)*66\/(-44). Let k = 0.21 + -0.41. Which is the nearest to -0.04? (a) -3 (b) k (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-14) - 4564\/(-49). Suppose -5*b = s - 273. Is b a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14527?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 8*c = -24. Suppose -3*b + c = 75. Does -24 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**0*d)**41\/((d*d\/d**(2\/7))\/d)**32 assuming d is positive.\nAnswer: d**(701\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73 + -55. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**2 - 484796*t + 3393474 = 0.\nAnswer: 7, 242391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13303 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x + 9. Let r be z(5). Let t(s) = 3*s**2 + 25*s + 24. Let n be t(-7). Put r, n, 9 in increasing order.\nAnswer: n, r, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 2\/993?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-201)\/3015)\/(6\/(-20)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4561956 divided by -11788\nAnswer: -387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 6*n**2 - 3*n - 6. Let d be v(5). Let r = -0.62 + 0.02. Let s = -2.6 - r. What is the closest to s in -0.4, 1, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*m**3*q**2 - 3*m**3*q - 215*m**3 + 3*m**2*q - m*q**3 + 34*m*q + 7219*q**3 wrt q.\nAnswer: 10*m**3 - 6*m*q + 43314*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**3 + 4*v**3 - v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(13\/20) + (-37 - 11 - -46).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 11*z**2 - 22*z - 1083. Calculate x(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -34*l**2 - 19*l - 43. Determine z(-2).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 474315.5ug to grams.\nAnswer: 0.4743155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i + i - 4*i - 1. Let q(u) be the third derivative of u**4\/24 - u**3\/6 + 942*u**2. Let l(c) = -2*p(c) + 6*q(c). Differentiate l(k) with respect to k.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 19. Let h be g(-15). Let p(d) = -6*d**3 - 7*d**2 - d - 5. Let x(j) = -5*j**3 - 6*j**2 - j - 4. Give h*p(c) + 5*x(c).\nAnswer: -c**3 - 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**2. Let f(a) = -7*a + a - 3*a + a. Calculate n(f(k)).\nAnswer: -128*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*v**2 + 4*v**2 + 26*v**2 + 5*v**2.\nAnswer: 50*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 7:23 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*75229.\nAnswer: 30091.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 - -3 - -1*28. What is the units digit of (z\/10)\/(1\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*f + 504 = 0, -2*k + f + 330 = -4*f. Suppose 5*p = 2*n + k, 3*p = -5*n + 183 - 50. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3757231829?\nAnswer: 13, 17, 67, 131, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 6*c - 28. What is the lowest common multiple of 10 and t(8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 l when three letters picked without replacement from uugyuulyyuyyyluuuy?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -51832 greater than or equal to -51832?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -1212*p + 20. Let f(l) = 404*l - 6. Give -7*f(a) - 2*j(a).\nAnswer: -404*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16, -14, -22, -46, -92, -166, -274?\n\"Answer: -a**3 + a**2 + 6*a - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*k - 3*s, 0*s - 2*s + 36 = 4*k. Find the second derivative of 11*g + 5*g + k*g**4 - 23*g + 11*g wrt g.\nAnswer: 96*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 10. Let h = 5 - 3. Suppose -h*r + 3 = 1. What is the closest to 1 in 1\/4, r, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h - 3. Let t be x(1). Suppose 0 = 2*j - 4*l - 1110, t = 4*l - l. Suppose 5*o - j = 225. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*s - 106633 + 105489 for s.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 4?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 5:25 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 39 = p. Suppose 0*n - 2*n = -p*n. Suppose j + 7*c - 976 = 2*c, -j - 4*c + 979 = n. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a - 3. Suppose -4*j + 23 + 13 = 0. Let z be (-2)\/1 - (j - 8). Calculate p(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, y: 4, z: 1}. Give prob of picking 1 z and 1 v.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 14 - 4*y - y**2 + 1\/3*y**3 + 1\/4*y**4. Determine l(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = o + 73. Let t be ((-6)\/(-36))\/(((-49)\/6)\/7). Sort o, t, 2, 0.1 in descending order.\nAnswer: o, 2, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 - -41. Calculate the greatest common factor of 165 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1985 is divided by 165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 33*x - 124 = -24*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 44. Let o(t) = -2*t**2 + 3*t + 4. Let b(r) = r + 1. Let p(a) = 6*b(a) - o(a). What is the remainder when k is divided by p(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*b + 24*b - 4*b**2 + 177 + b**2 wrt b?\nAnswer: -6*b + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 75, 157, 249, 357, 487, 645, 837?\n\"Answer: n**3 - n**2 + 78*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 36*n**2 - 216*n + 6. What is y(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**3 + 6*n**2 + 4*n - 4. Let q be h(6). Let t = q - -388. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -411197, -822245, -1233291, -1644335, -2055377, -2466417?\n\"Answer: k**2 - 411051*k - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1807018?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i**3 - 23*i**2 - 59*i - 151. What is u(-8)?\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4, -3*r - 4*g - 12 = -5. What is the third derivative of 3*q**3 + 9*q**3 - 16*q**r - 7*q**2 - 12*q**2 wrt q?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29706?\nAnswer: 2, 3, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 170 and 1598.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.268998826 + 0.269. What is h rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*h**2 + 290*h + 95*h - 219*h + 681*h.\nAnswer: 140*h**2 + 847*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09 and 1627.2?\nAnswer: 146.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 140 + -137. Suppose -6*l = -2*l - 20, 0 = -5*k + t*l + 735. Round k to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 397377 + -397366.5197248. Let p = -0.8802803 + j. Let l = 9.6 - p. Round l to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -157 - -82. Let i = o + 151. Suppose -i*k = -80*k + 4468. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*b + 25 = -33 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 91476 and 887656?\nAnswer: 23966712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) -6\/5 (c) -1\/5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/13077 + -6233\/414105. What is the common denominator of a and 139\/228?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22540\/(-2415))\/((-14)\/6)*(-3)\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -773 + 769. What is the nearest to -4 in b, -8, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17.5 - -17. Let d = 100 - 71. Let n = -34 + d. Sort n, -0.04, u in decreasing order.\nAnswer: -0.04, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23132 (base 4) to base 7\nAnswer: 2066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*(-2 + 144\/70). Let z = 5754 + -5759. Which is the third smallest value? (a) z (b) x (c) 0.4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -225*s - 434 - 2941 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v**5\/2 - 3148*v**4\/3 - 143759*v**3\/2 - 589177*v**2\/3 - 178092*v - 157600\/3 = 0. What is v?\nAnswer: -197, -100, -8\/7, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: 296 (base 11) to base 6\nAnswer: 1335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -165617, -169540, -176081, -185240, -197017?\n\"Answer: -1309*y**2 + 4*y - 164312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(5) + 1)*6.\nAnswer: 4 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*y + 2*y - 16 = 0, 4 = 4*o + y. Let n(u) = -u - 2*u**3 + 2*u + 2 - 2*u**2 + o*u**2. Suppose -6 + 0 = 3*k. Determine n(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence obb when three letters picked without replacement from {o: 3, b: 2, d: 2, a: 6}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, r: 7, m: 4, n: 3, u: 1}. Give prob of picking 1 m and 1 g.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 4*c + 3*c)*(4*c**2 - 4*c**2 - c**2) + 3*c**3 - 5*c**3 + c**3 + (7*c - 3*c + 0*c)*(47*c**2 - 2*c**2 + 7*c**2).\nAnswer: 209*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 82.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 547 a factor of 194732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/4)\/(16\/32) + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 8 + 106*g + 1 - 9 + 4 to y + u*g and give u.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**3 - 3*p**3 - 4*p**3 + (-3*p**2 + 3*p**2 - 2*p**3)*((-2 + 6 + 3)*(1 - 1 - 3) + 2 + 4 - 4).\nAnswer: 30*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1908967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 0 - (3 - -12). Calculate the common denominator of 2 - -86*(-3)\/(-12) and 3\/a*(-82)\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 515 = 5*u, -6*u + 4*u = 10. Is x a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + -5*sqrt(77)*-1 - sqrt(77) - sqrt(77))\/(sqrt(70)\/(-1*sqrt(10) - sqrt(10))) - ((sqrt(539) - (sqrt(539) + 1)*6 - sqrt(539))*-4 + -4))**2.\nAnswer: 7040*sqrt(11) + 341136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xug when three letters picked without replacement from grxkurz.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(32) + -4.\nAnswer: 1 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 32*g**3 + g**2 + 4*g - 32. What is the thousands digit of x(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 1859*p - 7. Let g(s) = 1782*s - 8. Calculate 5*g(x) - 6*m(x).\nAnswer: -2244*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 3*s**2 - 32*s - 63. Let d be q(-2). Let n(w) = w**3 + 7*w**2 + 7*w + 2. Give n(d).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1599 rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 268 divide 579687976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 27097000 to the nearest one million.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 6 - 1 - (-6 + 9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 13*y - 4. Let n be t(-22). Are -201 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 49*d*t + 34880*d + 20*t**4 wrt t.\nAnswer: 49*d + 80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 47 - 65 = 0. Let w = -16 - -12. Let k = i + w. What is the remainder when k is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1819957969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*x**2 - 1282 - 73*x**2 - 1294 + 2576.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -106*o - 703 - 1296 + 3695 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 644 + -405?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from {m: 2, n: 8}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 - -1 - (762 - 727)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + m - 39 = 0. Is m < -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -587 - -281. Let y = -308.69 - u. What is y rounded to 1 decimal place?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2566296)\/412020)\/((-2)\/(-35)).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 2*i**2 - 32*i + 27. What is g(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2310 + -1077. List the prime factors of h.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 119 = -2*s + 5*w, -2*w - 124 = -2*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*r - 1870 = -13*r for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 684*c + 60. Let y be p(1). Let m(n) = -342*n + y*n - 350*n. Let r(w) = 3*w. What is m(r(t))?\nAnswer: 156*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 39138703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = 3*k + 217. Let x(l) = l**3 + 5*l**2 + 5*l - 1. Let f be x(-4). List the prime factors of (-24 - k)*(f + 3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 43*z = 41*z + 44002, -z = 4*d - 58681. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.66248 millimeters in kilometers?\nAnswer: 0.00002466248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.0889 times -0.1\nAnswer: -0.00889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12\/16*(-4)\/6\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 462 = 7*r. Suppose -20 = -y - 2*f, -y = 3*f - 14 - 5. Calculate the greatest common factor of y and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1. Let h(f) = f**2 - 11*f - 54. What is the smallest common multiple of h(15) and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10976)\/(-84))\/49*(-11)\/(66\/(-288))?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (0 - -14)*(-7 + (-102)\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.5012 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 + 10*m**2 - 1336*m**3 + 1340*m**3.\nAnswer: 4*m**3 + 9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004038207 to 7 decimal places.\nAnswer: -0.0000404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/55692 and -67\/3276.\nAnswer: 55692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 8 - 4*i**4 - 5*i - i**2 - 4*i**5 - i**4 - 3. Let a(p) = p**4 + p**2 + p - 1. Let m(w) = -5*a(w) - c(w). What is the third derivative of m(s) wrt s?\nAnswer: 240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -167 (base 12) to base 9\nAnswer: -267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 585085?\nAnswer: 5, 117017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -256 + 269. Calculate the remainder when x is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/4)\/(18\/(-24)). Suppose 5*v - 5*n = -l*n + 381, -v + 72 = -2*n. What are the prime factors of v?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 31 = -5*y. Let x be (-116)\/(-20) + 1\/y. Suppose 7*o - x = 5*o. Solve 0 = -2*d - 3*v - o, -4*d + v + 4 = 17 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12633 (base 7) in base 5?\nAnswer: -102110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-4\/5))\/j)\/j)\/((j\/j**1)\/j)*j\/(j*j*j*j*j*(j**(-2\/3)\/j)\/j)*(j\/(j*j\/(j*j**4)))\/j*j*j assuming j is positive.\nAnswer: j**(43\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 3, -1, -3.9, -0.7, -9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/(-32))\/((30\/6)\/20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1132359811.\nAnswer: 11, 102941801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 217643*f**6 - 2*f**2 + 2*f + 1507?\nAnswer: 26117160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -1\/2*n**2 + 1\/6*n**3 + 4\/3*n**4 + 0 + 5*n. Let m(v) = -2*v - 13. Let x be m(-7). What is i(x)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -r. Which is bigger: r or 2\/33?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**4 - 3*j**3 + 55*j**2 + 12864*j?\nAnswer: -24*j**2 - 18*j + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/10 - (-3980)\/50. Let m(x) = -x**3 + 4*x**2 + 12*x - 18. Let c be m(4). What is the highest common factor of f and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of s**3\/3 - 3. Let o(d) = 4*d**2 + 11. Let f(z) = z**2 + 4. Let c(h) = -11*f(h) + 4*o(h). Determine c(r(i)).\nAnswer: 5*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4759015 is divided by 125237?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-5) - 1348\/(-5). Suppose 149 + l = o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-3 - (0 + -1))) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 36.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 26. Let o be s*(10\/(-65) + (-18)\/52). What is the third biggest value in -1\/8, o, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1768 and 86008.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7.5, 0.4, -3, -6, 30\/67, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 14*h - 16*h = -2613, 3*h = -2*j + 5225. What are the prime factors of j?\nAnswer: 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1283*p = -10354 + 29208 + 14504 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 71*x**2 - 7037 - 13*x**2 - 14*x**2 - 45*x**2 as q + t*x + p*x**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -4) + -4 - (10 - (2 + -2)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*(b*b**(-3\/4)\/b*b)\/b*b)\/((b*b\/b**2*b)\/b))\/(b\/(b\/(b\/(b**(-4)*b)*b))*b*b\/b**4))**(-3))**31 assuming b is positive.\nAnswer: b**(651\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/9 and 61\/17808.\nAnswer: 53424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1608*x - 275627.\nAnswer: -1608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155658271?\nAnswer: 101, 1541171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5600099, 5600100, 5600101, 5600102, 5600103?\n\"Answer: g + 5600098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from hhrhrrrrhhhrhrhhrhhr?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 9, -4*y + 3*o - 7 = 2. Suppose -15 = -3*s - y*s + 3*n, -28 = -4*s - 4*n. Solve i = 2*x - s*x - 16, -21 = 5*x + i for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2125 and 82450?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.5, 15, -6, -4\/7, -3\/5 in ascending order.\nAnswer: -6, -3\/5, -4\/7, -0.5, 0.5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9 - 2 - 18669\/(-1270) and 29\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.84 + 3.6. Let h = 0.1 + -0.14. Let z = h - r. What is the closest to 1 in z, -0.5, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*i - 8 = 0. Let g = i - -4. Suppose 0 = -5*f + b - 5*b + 493, 3*b - g = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4 - 2*a + 0 - 23. Let n(f) = -f**2. What is n(x(w))?\nAnswer: -4*w**2 - 76*w - 361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.2 - -5. Let f = v + 6.7. What is the third smallest value in f, 3, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -73*s + 23. Let k(l) = 109*l - 32. Let j(p) = -5*k(p) - 7*v(p). Let a = -6 + 4. What is the units digit of j(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/59892 and -31\/192?\nAnswer: 958272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2\/5 - 177*u\/5 + 366\/5.\nAnswer: -3*(u - 2)*(u + 61)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -714413 or 0.8?\nAnswer: -714413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3448, -6876, -10304, -13732, -17160, -20588?\n\"Answer: -3428*v - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 11 - 7 + c**2 + 0*c**2. Let o be m(0). Let n(y) = -y**2 - 4*y. Let q be n(-3). Solve 7*g - o*g - q = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 6*u**2 - 9*u + 7. Let i be (-30)\/(-4) - 12\/24. Calculate b(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**4\/66 + 3*h**3\/11 + 8*h**2\/11 + h - 84. Factor n(v).\nAnswer: 2*(v + 1)*(v + 8)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (278\/(-1251))\/(10\/(-6) + 2). Which is the nearest to o? (a) -2 (b) 2 (c) -1 (d) 33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 104606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/8 + 15\/20. Is 13 a factor of 2015\/52 - g\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*r - 55*r + 98. Suppose -2*a - 7 = -3*l, -11*l - 3*a = -r*l + 3. Solve l*k - 7 = 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -35*g + 37*g + 19, 5 = -g for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 2\/(-4))\/(1\/690). Suppose 2*m = -j - b, 4*m + 1035 = j - 4*j. What is j rounded to the nearest 10?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 10, 0, 5, -12, -1062 in increasing order.\nAnswer: -1062, -12, 0, 3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 297441856 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 3*i**2 - 3*i - 1. Let j be y(4). Suppose -j*d = -0 - 3. Solve 2 + d = 3*v + 2*x, 2*v - x - 2 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4926179 is divided by 103?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((-3*(sqrt(425) + sqrt(425)*-2) + -3)**2 - ((-3 + (sqrt(425)*2)**2 - sqrt(425)) + -3)))*6.\nAnswer: -510*sqrt(17) + 12840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 120.172 - 0.172. Let v = u - 124.9. Let b = 0.1 - v. Sort -5, b, -3\/4 in descending order.\nAnswer: b, -3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -10*j. Let w(m) = -24*m - 3225. Calculate w(v(g)).\nAnswer: 240*g - 3225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8 - (-1 - 8\/(-2)). Let u be (-11 - l)\/(6\/2). Let x(v) be the first derivative of v**2\/2 + 20*v - 13. Calculate x(u).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -362*i - 4*i + 25509 = 497*i - 27134 for i.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 7*y**2 + 30*y - 10. What is j(10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (6 - 5) - (0 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -322194353*m**2 - 181324961?\nAnswer: -644388706*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -6*k - 2*k + 3*k. Let z(j) = j. Let c = -97 + 68. Let l = -18 - c. What is l*z(r) + 2*w(r)?\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {r: 3, a: 5}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 0*z**2 + 1\/3*z**3 + 3 + 0*z. Let t(g) be the first derivative of -5*g**2 + 11. Give u(t(v)).\nAnswer: 100*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/10036 and 6\/342953.\nAnswer: 264759716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40103214 - 5?\nAnswer: -40103222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 6*i**2 - 10043*i - 20091. Calculate k(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20645 = -1312*r - 100677 for r.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2304*g**2 + 52921*g + 564*g**2 - 52921*g.\nAnswer: 2868*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -50*v**3 - 9*v**2 - 22*v - 45. Let c be w(-13). What is c rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -97 + 379*w - 2*w**3 - 263 - 124 - 57*w with respect to w.\nAnswer: -6*w**2 + 322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1245 + -601. Is g a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (13 - -29)*(-6)\/(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 62 = -3*l - 72, -24 = u + 5*l for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 4*t + 10, 3 = -2*p - 7*t + 6*t. Which is the smallest value? (a) p (b) 0.4 (c) 4 (d) -84\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 1. Suppose l = -0*c - 2*c + 34. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -y + 17 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from viiifiiflj. Give prob of picking 1 j and 1 v.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248 divided by 53836.\nAnswer: 62\/13459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 248021 + 2?\nAnswer: 248023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -147 + -1ba?\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-15)*((i**(-15)\/i*i)\/i)\/i assuming i is positive.\nAnswer: i**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*d**3 - 1532274*d**2 + 20*d**3 + 1532274*d**2.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/(-15) - 528\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(378) + sqrt(378) + sqrt(378)*2)\/(sqrt(6) + sqrt(192)\/sqrt(2)))**2*-1.\nAnswer: -1233\/25 + 72*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + 2. Let z be (-1)\/(l\/4 - 0). Sort z, -0.01, -0.4 in decreasing order.\nAnswer: -0.01, z, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 0, -145, -5, 2, -4, -1 in descending order.\nAnswer: 2, 0, -1, -4, -5, -32, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -104\/9 (b) 1\/3 (c) -8.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-15))\/(8\/10)*2\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33918992 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -49.4 (b) 2.18 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l + 4*l - 14*l**2. Let z(j) = -6*j**2 - 12*j**2 - 8*j**2 - 6*j**2 + 31*j**2. What is d(z(w))?\nAnswer: -14*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3936*c**3 + 7333*c - 3665*c - 3668*c.\nAnswer: 3936*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 172*h - 32. Is 16 a factor of a(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 - 37*w - 124. Let k be m(-4). Let z = -2 + -1. Let b be (14\/k - -1)\/(z\/12). Solve y + 4 = 4*s - 3*y, 5*s - 9 = b*y for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1084 + 1174. What is the closest to 3\/8 in w, 2\/7, -1, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2369, 4678, 6983, 9278, 11557, 13814, 16043?\nAnswer: 18238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 6*d + 4. Suppose -3*a + 2*n = -0*a - 13, 5*n - 20 = 0. Calculate the smallest common multiple of a and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 114 = 4*x + 286, -3*x = t - 100. Does 19 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/48 < 36656?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 617120 divided by -10640\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 2849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 v when three letters picked without replacement from xxvvxbxuyxvybx.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 288 and 44568?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - -13. Calculate the remainder when (-22)\/i + 2\/8 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -21*m**3 - 11. Let f(u) = -14*u**3 - 7. Calculate -5*b(r) + 8*f(r).\nAnswer: -7*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1789 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3289649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o + 2. Let r be w(0). Suppose r*m - s - s + 22 = 0, 3*m + 29 = -s. What is the units digit of (-4)\/m + 2765\/25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27122 - 21*c - 26*c - 27122.\nAnswer: -47*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76 + 39 + 9*i + 37.\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 8:56 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.053 and 4.639.\nAnswer: 0.245867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b - 14*b - 5*b.\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79067367.\nAnswer: 3, 2928421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 87*s**3 + 2*s**2 - 1. Let i be g(1). Let p = 811 + -542. Let r = p - 261. Calculate the highest common divisor of i and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 4*i + 22, -5*i = -5*x - i - 58. Suppose 2*j + 10 = 3*z, -3*j - 3*z + 8*z = 13. Is x bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 57807 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 0\/(-3))\/1. Let i(n) = 0 + b*n + 3*n**2 + 4 + n**3 + 4*n. What is i(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -16147.\nAnswer: 1614.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -785*s - 2 - 2044*s + 713*s to a*s + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fmgp when four letters picked without replacement from tgguumfp.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/15, -3, 3\/2, -12, 2\/3, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 200743 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: Expand (1 - 1 - 2*k)*(-38 - 5 + 0 + 12)*(-10*k**3 - k + 29*k**3 + 5*k**3).\nAnswer: 1488*k**4 - 62*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 124762*m**5 - 208*m**2 wrt m.\nAnswer: 7485720*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1247*i**2 + 2449*i**2 - 1237*i**2.\nAnswer: -35*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 12959 = o - 5213, -o + 5806 = 3*b. What is the smallest common multiple of b and 352?\nAnswer: 3872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1*92*76\/304\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + 23. Suppose -3*n + g = 11. Solve -3*b + 12 = 2*h, 3*b - 4*h + 3*h - n = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13315532 - -35?\nAnswer: 13320011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-550)\/(-33)*3 - 549\/61\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295 is divided by 113.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -712661 divided by -2773?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 4*b**2 + 2*b + 0 - 1\/6*b**3. Suppose -5*m + 25 = 5*c, -2*c = -m + 4*m - 15. Give f(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/((6\/(-8))\/(-1)). Let k = 0 - 0.1. Suppose 3*i - 5*q - 4 = 0, -3*i - 4*q = -5 - 8. Which is the closest to k? (a) w (b) i (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 20*j - 6. Let b(h) = 9*h. Let u(x) = -7*x. Let y(t) = 4*b(t) + 5*u(t). What is y(g(i))?\nAnswer: 20*i - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**6\/m**8*m**(3\/13)\/m**(-20) assuming m is positive.\nAnswer: m**(237\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -9. Let q be 1908\/(-8)*y\/9. Suppose -3*d + 441 = q. What is the remainder when d is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 135 - 65. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 - -23. Which is bigger: p or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(5) + sqrt(25)\/sqrt(5) + 5).\nAnswer: 4*sqrt(5) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 75 = 299. Suppose 5*x - x = -d + 18, -2*d + k = 4*x. Let c(r) = r**3 - 2*r**2 + 3*r - 1. Let s be c(2). Solve -5 - d = -s*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 183 - 1467\/8. Suppose -d - 11453 = -2*d. Let u = 183313\/16 - d. Find the common denominator of u and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 - (-102 + 101)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 130493700 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125752 is divided by 1048.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/2)\/(1\/(-12)). What is the first derivative of -3*a - 1 + l*a - 4*a wrt a?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.8 + 1.8. Let d = 9 - p. Let i = d - 21.26. Round i to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21474 by 7158.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381543701?\nAnswer: 7, 11, 191, 25943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1019, -2159, -3297, -4433?\n\"Answer: p**2 - 1143*p + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3878 and 593418.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*j + 0*j + 0*j)*(-1 + 1 + 2) - j - 4*j + 3*j)*(2*j**2 + 0*j**2 + 2*j**2).\nAnswer: -32*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76 + -52. Let d be (10\/(-4))\/((-10)\/y). Which is smaller: d or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105, -163, -209, -237, -241?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -775, -775, -777, -781, -787?\nAnswer: -795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -315 by 63.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 11*f + 6. Let q(w) = 12*w + 7. Let m(z) = 7*d(z) - 6*q(z). Let y(t) = -85*t. What is 35*m(i) + 2*y(i)?\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 2 + 0 - 4)*(2 - 1 - 6).\nAnswer: 5*s**2 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**2 + 10*k + 10. Let v be 13 - (-3 + (2 - 0)). Let i(g) = g**2 - 3*g - 3. What is v*i(c) + 4*o(c)?\nAnswer: 2*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72 - -72. Let q be 60\/14 + (-4)\/14. Let b(z) = -5 + q - 7*z**3 + p*z**3. Determine b(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*m**2 - 28*m**2 + 2*m**3 + 51*m**2 + 124*m**2 - 4*m**3 to j*m**3 + w*m + v*m**2 + q and give v.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.068 - -59.932. Let z = -43 + q. Let x = z - 17.0027. Round x to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3\/3 - 6120*r**2 - 4758964*r - 2576334752\/3.\nAnswer: 4*(r - 5288)*(r + 349)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*b**3*y**2 - 6*b**3*y + b**3 - 56*b**2*y**2 - b*y - 7*y**2 wrt b?\nAnswer: 30*y**2 - 36*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/2? (a) -4 (b) -3 (c) -1072 (d) -41 (e) -0.4 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 811521*r**2 + 1853893?\nAnswer: 1623042*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 84 = 21*h. Suppose h*r - 411 = 273. What are the prime factors of r?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**3 - v**3 + v**3 + 7*v**2 - 2*v**3 + 7*v + 9. What are the prime factors of f(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 376209 and -0.1.\nAnswer: -37620.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 93 - 43. Let x = 74 - u. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 24. Let y(z) be the first derivative of 3*z**4\/4 - z**2 + z - 10. Let p be y(c). Solve p*o = o - 5*a + 8, o - 1 = 2*a for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -17. Solve 2*p - 6 = -0*w + 2*w, -2*p + 3 = -m*w for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2147757.63 to the nearest one thousand.\nAnswer: 2148000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 9*h - 1. Suppose 8 = d + 5. Let g = d + 34. Calculate the remainder when g is divided by k(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gppwpga. What is prob of picking 1 g and 1 a?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3286, -3733, -4176, -4615, -5050?\n\"Answer: 2*h**2 - 453*h - 2835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 - 3)*(-20 - 25 + 10)*(1 - 1 + 2)*(6*a**4 + 5*a**4 - 7*a**4) + (-a**2 + 4*a**2 - a**2)*(2*a + 2*a**2 - 2*a) + 2*a**4 - 4 + 4.\nAnswer: 1406*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -681 minus 195?\nAnswer: -876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/538 or 0?\nAnswer: 1\/538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 911.\nAnswer: 10\/911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23.052 + 0.052. Let n = 23 + v. Put 5, 3, n in descending order.\nAnswer: 5, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.07 - -2.07. Let f be 1 + -2*(-1 - 1). Which is the second smallest value? (a) q (b) f (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 14*w + 0 + 14*w**3 + 5*w**2 + 23*w - 11*w to the form q*w + m*w**2 + y*w**3 + j and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/21 and -82\/161301.\nAnswer: 161301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 210 divided by -44\nAnswer: -105\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a\/a**(-17)*a)))\/(a*a**10)*(a*a*(a*a\/(a\/(a*a**(-2\/3))))\/a*a)**(-6\/7))**(-28) assuming a is positive.\nAnswer: a**(-144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 divided by -1268?\nAnswer: -24\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/13 (b) 0.2 (c) 2\/3 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 14*t - 102. Calculate z(-2).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a**2 - 2. Let b(t) = -t**2 + 4*t + 5. Let i be b(5). Suppose -4*f + i = 4. Let r = 823066 + -823068. Let l(s) = 1. What is f*p(z) + r*l(z)?\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n. Let u be -5*(-3)\/(30\/(-8)). What is the smallest common multiple of (5 + (-6 - -2))\/(3\/42) and a(u)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/724241 and -6\/45420257.\nAnswer: 317941799","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.09, 8 in decreasing order.\nAnswer: 8, 0.09, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a meter in centimeters?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 + 28*z**2 + 21. Let d be k(14). Let n be d\/27 - (-2)\/9. Suppose -3*b + 8 = q, 3*b - 3 = q + n. Solve -b*x + 8 + 2 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yxyyxyxyxx. Give prob of sequence xyxy.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -60393*n - 120727. What is t(-2)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 673.2089 millennia in years?\nAnswer: 673208.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7019 + 7025. Solve -171*j = -172*j + q for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 93*g**3 - 566*g**2 - 11*g + 352. Determine t(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 16*h**2 - h - 1. Let j be n(-1). Suppose 0 = -4*f - j. Let w be f\/14 + 8\/28. Solve 4*s = -w*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2 + 6*c - 5. Let v be (6 - 6) + (2 - -3). Let s(p) = -3*p**2 - 9*p + 7. What is v*s(b) + 7*n(b)?\nAnswer: -b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*x**3 - 11434*x + 11434*x.\nAnswer: -17*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 220\/(-33)*-39*3\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*f - 138 - 6 = 0 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.213 + 0.087. Let m = -8 + j. Which is smaller: -4 or m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -223 + -11123?\nAnswer: -12012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(3\/17)*l*l**24*(l\/(l*l**(-3\/10)))**(-2\/73) assuming l is positive.\nAnswer: l**(162374\/6205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*y + 270 = 0, 4*u + 216 = -0*u + 3*y. Let a = u + 90. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17, 25, 55, 119, 229, 397, 635, 955?\n\"Answer: 2*z**3 - z**2 - 3*z + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2327, 4648, 6965, 9278, 11587, 13892?\n\"Answer: -2*g**2 + 2327*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, i: 7}. What is prob of picking 3 o?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 19 = -1. Suppose h*z + 3*l + 17 = -3, 0 = -3*z - 5*l - 28. Sort -3, 2, z in increasing order.\nAnswer: -3, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2230)\/(-42) + (-1 - (-228)\/252). Put -2, 0, b in ascending order.\nAnswer: -2, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 4*s**2 - 5*s + 17. Let i be f(-6). Calculate the remainder when 27 is divided by ((-144)\/(-80))\/((-3)\/i).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 110 (b) 14\/11 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98679645 is divided by 402774.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 734.777g?\nAnswer: 0.000734777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y + 0 + 0 - 2*y - y + 2*y - y - y + y - y - y + 3*y + (2*y + 0 + 0)*(-1 + 3 - 3) - 2*y + 11*y + y + 3 - 3 + 2*y as j + p*y and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/(y*y*y**(1\/6)*y*y))\/y)\/(y**0\/y))\/((y*y**(-2\/13))\/(y\/(y\/(y*y**(-2)\/y*y)))) assuming y is positive.\nAnswer: y**(-313\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 6 = -0*d - 3*d, -3*b = -5*d - 24. Suppose -m - 5*p - 42 = 0, -m + p = b*m + 84. Let q = m + 49. Calculate the highest common factor of 9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 199804 = 4*d, 8*d - 5*g = 10*d - 99878. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2655 divided by -531?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qoq when three letters picked without replacement from {s: 1, q: 5, b: 3, v: 1, c: 1, o: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6346248 by 6.\nAnswer: 1057708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*sqrt(931) - (sqrt(931) + ((1 + sqrt(931))*-2)**2) - (-5*(0 + sqrt(931))*-2)**2.\nAnswer: -96833 - 56*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 4*d - 372. Suppose 0*b - 3*b = -d. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 7 = 137. Suppose -45 = -x*s + 17*s. Let v = 7 - 3. Which is the nearest to 1\/4? (a) s (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352*v - 537600 = -353*v. Suppose -185*f + 192*f = v. What is f rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -13*s - 106. Let v be f(-8). Let r(i) = i**2 - 16. Let l(z) = 2*z**2 + z - 16. What is v*l(j) + 3*r(j)?\nAnswer: -j**2 - 2*j - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(567)*-1 - (3*sqrt(84))\/sqrt(12)).\nAnswer: -12*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k + 2. Let x be f(0). Let r = 45 + -39. Suppose r*t - 10 = t. What is the highest common divisor of t and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24113.47927 + -24113. Let y = i - 0.48. Round y to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (-26 - 0) + 1 + -3 + -15?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 403183, 806505, 1209827, 1613149, 2016471?\n\"Answer: 403322*j - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(33)*-4 + sqrt(33) + sqrt(132)*4)\/(sqrt(88)\/sqrt(800)))**2.\nAnswer: 7500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c + 5. Let j be f(5). Suppose 4*w + j = 8*w. Suppose -20*n = -19*n + w. Sort -1, 1, n, 4.\nAnswer: n, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.684 - -19.08796. Round u to 2 decimal places.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -538 - -538. Solve 0 = r + 4 - k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 150 - 308. Let r = -33748.8 - -33906.551. Let y = i + r. What is y rounded to two dps?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*u - 1769 - 1750 = 0 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*g + 93*g = -2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 4*d + 14. Let f(z) = 3*z**3 - 2*z - 2. Let m(k) = -3*k**3 - k**2 + 3*k + 3. Determine d*m(a) - 3*f(a).\nAnswer: -3*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*g**3 - 2*g - 41*g**3 - 150*g**3 + 8*g**3 in the form a*g**3 + n*g**2 + v*g + w and give a.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfsjyssssssyss. Give prob of picking 1 y and 2 s.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1120974? (a) 2\/5 (b) 0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.73 - 0.7. Let g = 0.07 + s. Which is smaller: g or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**3\/7 - 122*r**2\/7 + 1110*r - 12978 = 0.\nAnswer: -103, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13738722 is divided by 99?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - (4 - (4 - (0 - 0))). Let z(q) = -51*q**2 - 7. Let c(k) = 153*k**2 + 19. Let t(i) = x*c(i) - 8*z(i). Find the first derivative of t(m) wrt m.\nAnswer: -102*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 - -32. Suppose -b*u = -15 + 3. Solve 3*k = 6, u*t - 6*k = -4*k - 16 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f + 5*c + 36 = -6, -4*c = -2*f + 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -28, -21, -10, 5?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 506, 0.07 in decreasing order.\nAnswer: 506, 0.07, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l*s**3 - 2*l*s**2 - 1669*l*s - 2027*s**4 - 2*s wrt s.\nAnswer: -12*l*s - 4*l - 24324*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/10899 - -10903\/21798. Let w = 0 + 2. Factor -1\/2 - b*x**w - x.\nAnswer: -(x + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3181, 6204, 9227?\nAnswer: 12250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2228 - -2230.042. Let x = -2 + q. What is x rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124, -264, -432, -628, -852, -1104?\nAnswer: -1384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(539) - (sqrt(539) + (0 + sqrt(539))*3) - (sqrt(539) + sqrt(539) + (sqrt(539) - ((sqrt(539)*2 - sqrt(539)) + sqrt(539))) + 5)**2).\nAnswer: 546*sqrt(11) + 3384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -15 - 15. Suppose 2589 = v + i*x, -612 + 3233 = v - 3*x. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**2\/4 + 935997*k + 876090384009 = 0.\nAnswer: -1871994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75339060.\nAnswer: 2, 3, 5, 1255651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 759460 to the nearest integer?\nAnswer: 871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-103)\/(-2 + -2 + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-96)\/(-47) + 840\/(-19740). Solve 6 + 2*c + 1\/6*c**h = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 3. Suppose -4*s = -5*z - 11, 8*s - 4*z = q*s + 16. Does 9 divide s\/(-10) - (-254)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 + -96. Let c = -18 - w. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 7 = 3, -5*x = 5*l + 15. Suppose n + x = 2*n. Suppose 1 = -n*j + 35. Solve -5*y + 3*a = j, -a - 2*a = 5*y + 23 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w + 7. Let s be a(-4). Suppose 0*t = -5*t + s. Suppose z = t + 3. Calculate the remainder when z is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-1 - 1) - (-7)\/(-2)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502497 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2409581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 4*w + 2. Is q(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 - 27388*v**2 - 54788*v - 27396.\nAnswer: 4*(v - 6849)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-120)\/(-44))\/15 + (-53)\/(-11)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -200, -160, -120, -80, -40, 0?\n\"Answer: 40*y - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f = 10*f - 3102. Calculate the common denominator of (f\/2430)\/((-3)\/(-9)) and 11\/14.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*x - 22. Suppose 3*y - 3 = -l, -3*y - 4 = 5*l - 55. Let g be (x\/l + 2)*3. Calculate the greatest common factor of g and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -31, -22, 7, 68, 173, 334?\n\"Answer: 2*a**3 - 2*a**2 + a - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*n - 123*n + 1050 = 92*n. Solve -k = -8*x + n*x + 13, 4*x - 16 = -2*k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6058 times 136.6?\nAnswer: -827522.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/5 - 36*w**2\/5 + 299*w\/5 - 264\/5.\nAnswer: (w - 24)*(w - 11)*(w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 7*u**2 - 8*u - 6. Let c be (-2)\/9 - (-222)\/27. Let o be s(c). Let l be -5 - o - 158999\/(-1). What is l rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1452340 (base 6) to base 8\nAnswer: -245504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3702150 + 24?\nAnswer: -3702125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407*b - 178*b - 570 = 39*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3522*x - 387386. Determine w(-110).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6239398 and 41406914.\nAnswer: 455476054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/6 and 95\/206.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-5))\/((-2)\/150). Suppose 5*v - w = 2*v. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 2. Let x = z - -1.99919. Round x to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 47*h**2 - 30*h - 258. List the prime factors of l(-46).\nAnswer: 2, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*f**2*r - 8*f*r - 4*r + 8 wrt f.\nAnswer: 52*f*r - 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106 + -100. Let n(o) = -2*o**3 + 4*o**2 - 6*o. Let y(u) = 2*u**3 - 4*u**2 + 7*u. Let z(f) = m*y(f) + 7*n(f). Determine x so that z(x) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -3\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - 3*((sqrt(84)*1 - sqrt(84) - sqrt(84)) + sqrt(84)) - sqrt(84)) + sqrt(84))\/((-2*sqrt(60))\/sqrt(5) + sqrt(12)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*p - 63000 = -66*p + 5*n, 3*p - 2*n - 37801 = 0. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -3.6. Let w = f + 0.6005. What is w rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 279, 3775, 13729, 33369, 65923, 114619, 182685, 273349?\nAnswer: 389839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 3*k**2 + k + 2. Let w = -23 - 79. Let l = w - -99. Give d(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -526*u**5\/5 + 37*u**4\/4 - 2*u**3\/3 + 2224*u. What is the third derivative of j(h) wrt h?\nAnswer: -12624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 291*m - 900. Let t be w(3). Put -2, -11, 5, t in decreasing order.\nAnswer: 5, -2, -11, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*s = 8. Differentiate -5 - 5*j**4 + 6*j**s - 1 wrt j.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.609 - 0.391. Let f = -7.8 - m. Which is greater: f or 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**2 + 332*t + 2492672 = 0.\nAnswer: -749, 832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 - 258*t**2 + 1339*t + 6312.\nAnswer: -(t - 8)*(t + 3)*(t + 263)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**3 - 84*r**2 - 1338*r + 56169. What is g(42)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/5 (b) 0.08 (c) 335 (d) 80 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1061\/7, 4, -1, -0.4, 0.3?\nAnswer: -1061\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (-81 - (-27 + -7)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 43897 at most as big as 34525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + 5 - -2)*(-784)\/(-48). Calculate the greatest common factor of v and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 902.9305 decades to centuries.\nAnswer: 90.29305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5200875357?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -8*k + 58, -5509*k + 5507*k - 5*w + 3*w - 18 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**3 + 8*s**2 + 6*s. Determine r(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 165 - 162 = 0. Sort k, 384, -5 in descending order.\nAnswer: 384, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1319*k**3 + 196*k**3 + 630*k**3 - 487*k**3 + (3*k**3 + k**3 - 6*k**3)*(2 - 2 + 2) - 4*k + 4*k + 2*k**3 as y*k**2 + v + o*k + b*k**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004098056705 rounded to seven dps?\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 11 - 4)*(1 - 1 + 3*l + (4 - 4 - 2)*(l - 3*l + 4*l) - 37 + 10*l + 37).\nAnswer: -117*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -386\/11 - -6716\/187. Let m be 330\/(-60)*(-6)\/33. Are m and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -1167, 2, 4\/3, -1\/3, 0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 502487609?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 43729*q - 18108 wrt q?\nAnswer: 43729","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -102 + -39 + -17 + 127?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-882)*((-3765)\/(-23845))\/(4\/114)?\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, u: 2, f: 3, e: 1, h: 3, k: 1}. Give prob of picking 1 f, 1 k, and 2 h.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12839115 is divided by 4722?\nAnswer: 4719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -85054.5562 and 5?\nAnswer: 85059.5562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 6:46 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 3 (c) -6 (d) 4 (e) 53 (f) 24\/7 (g) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-5))\/(2226\/(-159530))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = -8*x + 1249. Let n = 8 + x. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 21*z - 18*z - 13, -15 = -3*q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/(6664\/4158) + 41?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 14) to base 6\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*c - 1 - 8 = 82*c, 4*b - 5*c = 1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*f + 252 = -159*f. Let w = 26 - f. Solve 3*t + 24 = -4*m, 0 = -w*t - m + 7 - 30 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 4:38 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 16.8491, -0.2?\nAnswer: 16.8491","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/320603 and -59\/34?\nAnswer: 641206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 0*l - 214*a - 112 = -212*a, -10*a - 152 = 8*l for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4f + c6e0?\nAnswer: c691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/6080 and 79\/79860?\nAnswer: 24277440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (31 + -34) - (-12 - 0).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -454029 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*y + 2300 - 1239 = -1186 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 58\/(-12) - (3\/(-18))\/(-1). Let m be ((v + 4)*-3)\/((-15)\/(-25)). Solve -9 = i + 3*u - 4*u, 2*i + 33 = m*u for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.3, -218, -2 in increasing order.\nAnswer: -218, -2, -0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-0.1887.\nAnswer: -0.09435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-60)\/16)\/(1\/4). Let z be v\/1*(-2)\/6. Let g(y) = y + 9. Let k(r) = -8. Let l(i) = 2*g(i) + 3*k(i). Calculate l(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00062201868 rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 31*j**2 + 19*j + 139. List the prime factors of u(-7).\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 246*-1.06\nAnswer: -260.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 219148290.70709628 - 106468905.73709679. Let u = -112679384 + i. Let j = u + -0.97. What is j rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 10*z - 4. Let q be w(1). Solve -q = -0*f - 2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 36 = -j, -4*z - 3*j + 0*j + 28 = 0. Let c = -6 + z. Let x(a) = -4*a - 3. Calculate the least common multiple of x(-3) and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1181 is divided by 1174.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7583699161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 6*l = 20. Let t = 22 + -22.029. Put l, 4, t, 0 in increasing order.\nAnswer: t, 0, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.8594 rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 20*z**2 - 100. Let i(o) = o**3 - 21*o**2 + o + 110. Let v(t) = 5*f(t) + 4*i(t). What is v(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-2)*(-4)\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/1345? (a) -11 (b) 0 (c) -33\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 14*w + 2. Let i be a(-14). Let n(s) = -3*s - 1. What is n(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*l + 4 = -12, 0 = -4*k - 3*l + 28. Suppose -5*m + 14 = k*b, b = -3*m + 4*b + 3. Suppose -m*t + 12 = -8. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - 0.1. Let v = 0.001 + -66.001. Let i = v + 66.4. Which is the biggest value? (a) -0.4 (b) n (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16932\/11 + 1544. Let x = -6132 + 67398\/11. Find the common denominator of i and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27754 + 13387 = 1083*x + 25704 for x.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -z - 12. Let k = 217 - 477. Let o = k - -263. What is the greatest common divisor of o and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -550? (a) 2\/9 (b) -0.2 (c) 1\/18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -568355?\nAnswer: -568354.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h*h\/(h**(2\/11)*h)))*h)\/(h**(-2\/13)*h))**(-5\/13)\/((h\/h**4)\/h**(-9))**(1\/9) assuming h is positive.\nAnswer: h**(-5803\/5577)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8086 divided by -622?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*a - 212729 = -211648 for a.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -67918, -67327, -66750, -66193, -65662, -65163?\n\"Answer: -t**3 - t**2 + 601*t - 68517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28.74 + 28. Let r = i + 0.24. Which is the closest to -0.1? (a) -3\/4 (b) r (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 3*l**2 - 23*l + 90. Give h(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 11 = -21, 5*s + 15 = 5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*q**3 + 10*q**2 + 65*q + 30 = 0. Calculate q.\nAnswer: -1, -3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.7 and 8.8.\nAnswer: 23.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 201213013?\nAnswer: -201213010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21584?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 243367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4\/26*(-78)\/(-108)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a - 59*a + 11*a + 15*a + 7*a.\nAnswer: -22*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38999498.\nAnswer: 2, 19499749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 e, and 1 o when three letters picked without replacement from {o: 5, r: 5, q: 1, e: 7}?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 228*i - 812. What is the units digit of t(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/42 + 237\/(-553))*8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1237718144*n**2*t**2 - 9*n**2*t - 105*n**2 - 4*n*t - 3*n + 192*t - 1 wrt t?\nAnswer: 2475436288*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 104 + -80. Suppose -2*w - a = -4*w + 11, 3*w - i = 3*a. What is the lowest common multiple of 2 and 2\/(-2) + 28 + w + -3?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.070434169 rounded to three decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*w**2 + 40*w**2 - 2 - 4*w + w - 2234*w**3 + 2*w.\nAnswer: -2234*w**3 - w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -412201757*s*t - 206441715*s wrt t.\nAnswer: -412201757*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**9\/68040 - v**8\/15120 - v**7\/11340 + v**6\/1620 + v**4\/8 - 2*v**2. Let u(w) be the second derivative of p(w). Factor u(f).\nAnswer: 2*f*(f - 2)*(f - 1)*(f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*p - 10*p + 9*p.\nAnswer: -26*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20020 - -10032000?\nAnswer: 10011320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -599904, -599905, -599906?\nAnswer: -599907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84847248?\nAnswer: 2, 3, 31, 83, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**5 + 15*m**4 - 15*m**3 + 5*m**2.\nAnswer: -5*m**2*(m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/5)*m\/m**(3\/14)*m*m\/(m*m**(-4))*m**(3\/10)*m assuming m is positive.\nAnswer: m**(262\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1181\/18 + -347\/6. Which is smaller: p or 9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58096 is divided by 58.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1395*r**4 + 4*r**2 + 38*r wrt r.\nAnswer: -33480*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4906.79 to the nearest one hundred.\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(17) + 0)**2 - sqrt(1377)*1.\nAnswer: -9*sqrt(17) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50 - -55. Suppose g = b - 32, -5*g + 93 = t*b - 47. Calculate the lowest common multiple of b and 14.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1344646 divided by 672323?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0*d)**(-1\/3)*d**(1\/6)\/d**2)\/((d**0)**(4\/21)\/((d*d**(-4)\/d)\/(d\/((d\/(d**(2\/3)*d))\/d)))) assuming d is positive.\nAnswer: d**(-53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2746076831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y**2 + 30*y + 26. Let x be k(11). Let s = 46 - 54. Sort x, s, -3 in increasing order.\nAnswer: s, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r - 21653 = -9*r - 73*r. Calculate the remainder when r is divided by 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55 and 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 95.9 + -96. What is the nearest to p in -3, 0.33, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34 - 34 + 10*l**2 + (5 - 4 - 2)*(6*l**2 + 0*l**2 - 4*l**2).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -9*r - 6*r + 13*r + 17. Let p be y(8). What is the highest common factor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -253 - -256. Suppose -2*a + 5*g = -36, 4*g = 5*a + u*g - 44. Solve 4*y + 4*p = a, -10 = y - 4*p + 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 7*b**3 + 23*b**2 - 41*b - 37. Let j(f) = 4*f**3 + 12*f**2 - 20*f - 19. Let g(p) = 5*j(p) - 3*q(p). Let c be g(-11). Solve -20 = -5*n - c for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (354\/3)\/(-5 + 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2 = -4. Suppose b*r = 3*r - 7. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 960 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 1:27 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l + 142*l = 10008565. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o\/o**0)**(-10\/11)\/(o**(-6\/7)\/((o\/(o\/(o*o*o**(-6)*o*o)))\/o*o))*(o**(-1)*o)**(6\/23)*o**(-7)\/(o*o**(1\/8)*o*o) assuming o is positive.\nAnswer: o**(-8621\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13734 and 393163.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1 - (-18 - (4 - 17)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 divided by -2?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5)\/(-10) - 2\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*f + f + 48 = 0, -208 = -5*y - 3*f. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 253 + -253.5. Which is the closest to 0? (a) 4 (b) 5 (c) z (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 191108536 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 9:00 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51670121 and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 47139*n + 141418. Determine x(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i + 0*i + 4*i)*(-4*i**3 + 6*i**3 - 4*i**3) + 2*i**4 - 4*i**4 + 3*i**4 - i**4 - i**4 + i**4 + 0 + 0 - i**4 + 98 - 98 - 97*i**4.\nAnswer: -94*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 360*a - 243*a + 672*a in the form k*a + t and give k.\nAnswer: 789","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5 = 1. Let z(n) = -l*n + 6*n + 3*n. Let t(u) = 19*u. Let x(p) = -34*p. Let m(o) = -7*t(o) - 4*x(o). What is m(z(h))?\nAnswer: 21*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42 - 33 - -28) + -63?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8608 and 9684.\nAnswer: 77472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 721 is divided by 3\/(-2)*(-21)\/(441\/406)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 1 = n + 4, 0 = -5*n + 3*r + 20. Let p be (-27)\/3*-1*1. Let d be (-1)\/(-3) + 60\/p. What is the highest common divisor of n and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 - 0.053058.\nAnswer: -1.153058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -129, -443, -1041, -2013, -3449, -5439, -8073?\nAnswer: -11441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83, 79, -119, -47 in increasing order.\nAnswer: -119, -83, -47, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*j = 1150, -2*j + j = -2*f - 460. Let c be f\/104 + (-10)\/(-5). Let i = c + 6\/13. What is the nearest to -1 in 1, i, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258298355 divided by 74245.\nAnswer: 3479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 84\/(-840)*-1*4\/2\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 303*n*z - 84564555*n - 366984*z wrt z.\nAnswer: 303*n - 366984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from xvxxndddndndndxn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 757163589?\nAnswer: 3, 7, 13, 313, 8861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -25153\/338 smaller than -73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 247*s - s**4 + 241 - s**2 - 62 + 4*s**2 - 181 to h*s**3 + v*s**4 + g + c*s + u*s**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -1. Suppose y*g = 7*g - 9. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3 + (0 + -3*sqrt(2057))**2.\nAnswer: 18512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2. Let b(r) = -r + 4. Let k = 496 + -492. Determine k*b(d) - 9*x(d).\nAnswer: -4*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64.5 - 64.49999711. Round b to 7 decimal places.\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/3 + (-2 - -1). Suppose 2 + 6 = -2*a, -s*n = 4*a + 19. Let u = n - -3. Is u <= 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p + 3. Let n(o) = 3*o. Let v be n(-1). Let u be k(v). Solve -2*s = s + u for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.5 - -3. Let j = -115\/9 - -1565\/126. Let h = -1\/14 - j. Sort 4, h, q in descending order.\nAnswer: 4, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 x when two letters picked without replacement from {f: 1, x: 5, e: 1, y: 2, w: 3}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1888 - 1886. Solve v + 0*v + b = r, 0 = -4*v + 12 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57913?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1117, 11, 12, 1 in increasing order.\nAnswer: -1117, 1, 11, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-20)\/(-12))\/((-5)\/(-480)) and 20?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 129*b**2 - 1880*b - 104. Calculate z(17).\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12243 - 60110?\nAnswer: -46756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -c33 (base 13) to base 9\nAnswer: -2750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000712204772 rounded to seven decimal places?\nAnswer: -0.0000712","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -w - 13, l + 2*l - 15 = -5*w. Suppose -5*i = -y + 32 + 36, -136 = -2*y + 5*i. Let s = y - 48. Calculate the highest common divisor of l and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 5*j - 2*j)*(2*j**3 - 15*j**4 - 3*j**4 + 4*j**4).\nAnswer: 28*j**5 - 4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 3:24 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005650117 rounded to 6 decimal places?\nAnswer: -0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a - 25. Let v(n) = 10*n. Calculate v(l(w)).\nAnswer: -10*w - 250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + x - 2*x - 10346210*x**3 + 10346171*x**3 - 6*x.\nAnswer: -39*x**3 - 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3117222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((195\/(-10))\/1).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 12704.18t?\nAnswer: 12704180000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -7026*r + 1250600. Calculate h(178).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - -1*(5 + 5). Solve -k*l - 20 = -l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**3\/2 - 7*x**2\/2 - 6*x. Calculate d(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -127*p - 141. Which is the nearest to -4? (a) -258\/7 (b) -2\/9 (c) 0 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11997 + 55658. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 36*w**3 - 2 - 39*w**3 as b*w**2 + p*w**3 + n + u*w and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 986037 to the nearest integer?\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + 1*sqrt(84)*2 + sqrt(84) + (sqrt(84) - -6*(sqrt(84) - 1*sqrt(84))))\/((sqrt(12) + 3*(sqrt(12) - sqrt(48)\/sqrt(4) - sqrt(12)))*-3).\nAnswer: 5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/9 (b) 4 (c) 660.28 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - j**2 - 1. Let q(d) = -2*d**3 + 4*d**2 + 2. Give 4*c(t) + 2*q(t).\nAnswer: -8*t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 264937549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 26151\/6 - (-9)\/6 - 1. Suppose -8*n = -t + 1143. Does 52 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbbbbbububbbub. What is prob of sequence uu?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in -1, -9, 3, 3\/8?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, -3.4 in descending order.\nAnswer: 6, 5, -3.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 o when two letters picked without replacement from {l: 2, i: 4, e: 3, y: 3, o: 2, s: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 267675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-36)\/8*2\/(-3). Suppose 5*t = -4*f + 1, -2*f + 9 = -2*t - 5. Suppose -3*j + 5*s + 20 = -21, -f = 4*s. Solve -u*g - g - j = 2*l, -3*g - 14 = -l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 5*q**2 - 8*q + 8. What is w(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, v: 1, r: 1, a: 2, l: 2, k: 1}. Give prob of sequence raia.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -n**4\/4 - n**3\/3 - n**2\/2 + 1. Let g(y) = 7*y**3 + 6*y**2 + 7*y + 1. Calculate g(z) + 6*k(z).\nAnswer: z**3 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**1\/q)\/q)**(-2\/31)*(q**(2\/5))**2 assuming q is positive.\nAnswer: q**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 8\/(-1*2). Suppose -3*b = -4*w - 734, -w + 1375 = 5*b + 121. Let k(i) = -128*i**3 + 3 + 3*i**2 + b*i**3 - 2*i - 121*i**3. What is k(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(6\/((-24)\/4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700)*-2 + 1 + sqrt(1700) + 3 + sqrt(1700) + sqrt(1700)*-1)**2*-6.\nAnswer: -10296 + 480*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*f**2 + 29*f**2 - 11*f**2 + 66*f**2 + 71*f**2.\nAnswer: 205*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -564.1213 - -0.1213. Let t = y - -561. Sort t, 0.2, -2\/35.\nAnswer: t, -2\/35, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -27*l + 22*l. Let z be (1 + -8)*l\/(-21). Suppose -1166 = -0*f - 5*f - 4*c, -z*f + 3*c + 908 = 0. What are the prime factors of f?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2416, -10213, -23192, -41347, -64672, -93161, -126808?\n\"Answer: r**3 - 2597*r**2 - 13*r + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g + 4. Let q = -10 + 3. Let y(d) = -14*d - 12. Let a(i) = 13*i + 11. Let t be (0 + 1)\/1 + 4. Let b(l) = t*a(l) + 4*y(l). What is q*n(c) + 4*b(c)?\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/6*3\/2. Let c(z) = -z**3 - 21*z**2 + 2*z + 32. Let g be c(-21). Let y be 1 - g - 76\/38. Solve r - m*r - y = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13960 and 6079580?\nAnswer: 12159160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -43458.576 - 15\nAnswer: -43473.576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -13 + 3. Let f(i) = 4*i + 1 + 4*i**m - 3*i + 5. Let v(z) = 3*z**2 + z + 5. Let x(t) = 4*f(t) - 5*v(t). Give x(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3*w + 429 = 0, -3*i - 5*w + 457 = -w. What is the greatest common factor of 21 and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 10:39 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3050*u**5\/7 + 51110*u**4\/7 + 36334*u**3 + 347842*u**2\/7 + 184908*u\/7 + 4896 = 0.\nAnswer: -8, -7, -3\/5, -34\/61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68 - (170 - 93)) + 0 + -11 + 112.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + m. Let j = 14 - 13. Let s(w) = -15*w + 2*w - 6 - j + 3*w**2. Let o(u) = -s(u) - 4*t(u). Calculate o(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44559781187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6671.00007739 - 6671. Round b to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 55*i**2 - 3*i**4 - 318 - 21*i**2 - 20*i**2 - 18*i**2 wrt i.\nAnswer: -12*i**3 - 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 830639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -46, -185, -410, -715, -1094, -1541, -2050?\n\"Answer: i**3 - 49*i**2 + i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104.3699g to kilograms.\nAnswer: 0.1043699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 15*d**2 + 13*d + 4. Let u be r(14). Let m(w) = 2*w + 35. Let l be m(u). Calculate the highest common divisor of l and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/11))\/c)\/(c*c**(-18\/5)*c*c)*c**20\/(c\/(c*c*(c\/c**(4\/5))\/c)) assuming c is positive.\nAnswer: c**(1134\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.9848953 millennia?\nAnswer: 984.8953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1490 - -1492. Sort a, 0, 16, -8 in decreasing order.\nAnswer: 16, a, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -16*s + 302. Let m be y(19). Let w = 6 + -10. Let v = w - -1. Sort 5, -1, m, v in ascending order.\nAnswer: v, m, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.350144*-5.\nAnswer: -1.75072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 7*n - 4. Let v be h(-5). Suppose 0*m - v = 3*m. Let g(p) = -2*p**3 - p**2 + 3*p + 2. What is g(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22551 divided by -7517\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1414 or -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 9*w**3 + 3*w - 5*w**3 + 4*w**3 - 5*w. Let k(a) = a**3. Let q be -12*((-15)\/(-6) - 2). Calculate q*k(x) + z(x).\nAnswer: 2*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 6 + -5 - 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 911032 divided by -433\nAnswer: -2104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4229 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**4\/(m\/m**(-3\/5))*(m\/(((m**2*m)\/m)\/m))\/m*m*(m\/(m**(-2\/21)*m))\/m)\/(m**2\/m*m*m*m**4*m**5*m*m*m**(-3)*m) assuming m is positive.\nAnswer: m**(-1103\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -100*n - 40. Let k = -53 + 45. What is the tens digit of s(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 683*n**5 - 12*n**4 + 15*n**2 + 882 wrt n.\nAnswer: 40980*n**2 - 288*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 9:08 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 3*g + 125761, 5*g + 1350 - 1315 = 0. What are the prime factors of l?\nAnswer: 2, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 81\/14 - 44\/7. Let t(i) = -6*i + 1. Let b be t(1). Let x = 0.009 - 0.109. What is the nearest to x in b, w, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 112 + 3 - 3*1\/3. What is the tens digit of (-1 - 2) + 0 + s + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 7, 1\/4, 2, -0.0268?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, f: 4, k: 2, a: 2, i: 4, p: 2}. What is prob of picking 2 a and 1 i?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cdk when three letters picked without replacement from dwdwwkkcjccw?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 251785 and 1184.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2608606 to the power of 1\/2, to the nearest integer?\nAnswer: 1615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1)\/a)**(-16\/9)\/(a**(-4\/5)*a\/a**(-6)) assuming a is positive.\nAnswer: a**(-119\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 163530643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 26, 0.1, 2, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*s**2 + 36*s**2 - 2*s**2 as w*s**2 + r*s + v and give w.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 129\/(-172)*(-16)\/(-30)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79840 and 128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - x - 106 = -4*d, -d + 63 = 2*x. Suppose 0 = -3*v + d + 2. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 78*p + 570. Calculate t(-13).\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03 and -14.7.\nAnswer: 0.441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -6910*x + 69099. What is a(10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/38))**(-4\/35) assuming u is positive.\nAnswer: u**(2\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 178054593 to the power of 1\/2, to the nearest integer?\nAnswer: 13344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1363914 is divided by 355?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**5*i**3 + 73*g**3*i**3 + 7*g**2*i**3 + 3*g**2*i**2 + 4*g*i**3 wrt g?\nAnswer: -120*g**2*i**3 + 438*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1277015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 222647.8kg?\nAnswer: 222.6478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -7*u**6\/360 - 25*u**4\/12 + 12*u**2 - u. Let o(g) be the second derivative of j(g). Let w(t) = -4*t. Determine w(o(q)).\nAnswer: 56*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1039*j**3*m**3 - 2*j**3*m**2 + 12*j**3 + j**2 - 6*m + 426 wrt m.\nAnswer: 3117*j**3*m**2 - 4*j**3*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6091054mg to kilograms.\nAnswer: 0.0000006091054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 2:09 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 192187?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 7:03 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jwrwwwr. What is prob of sequence www?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 1:16 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = g - 5. Let j(p) = -3*p - 2 + 2. Let h be j(-1). Solve -h*l - g + 2 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-63 + 109)\/((-4)\/(-2)). Solve -4*r + 24 = -2*t + 2, -2*t - 5*r = -u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18855 by 5.\nAnswer: 3771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 212, 0.2, 1\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3484 and 26163098.\nAnswer: 1742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 188, 469, 364, -601, -2900?\nAnswer: -7007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260*z = -309*z + 25197868 + 1580979. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3*o - 36, 57 = -i + 53. What is the highest common divisor of 10 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by (-9 - -11) + (0 - -8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 102*m**2 + 162*m?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3079 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 897158 is divided by 78?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (960\/384)\/(3\/(-156)*5).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -773159268.9.\nAnswer: -773159269.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -329, -3 in descending order.\nAnswer: -3, -11, -329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*n - 210*n + 40*n = 2436 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v - 1. Let y be x(7). Let h = 3 + y. Let o = 15 - 10. Put h, 0, o in descending order.\nAnswer: o, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1040240 (base 5) to base 9.\nAnswer: -26856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of 5*p**4\/12 - 35*p**3\/6 + 15*p**2 - 3*p + 18. Factor s(k).\nAnswer: 5*(k - 6)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38902 divided by 53.\nAnswer: -734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -0 + 8, 3*m + 2*n = 178. Let q = 72 - m. What is the least common multiple of 8 and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14352 divided by -1794.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8780467 to the power of 1\/3, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/32)\/((-385)\/(-308))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {w: 5, z: 7}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -3*n**2 + 120. Let k(g) = 44*g. Calculate m(k(y)).\nAnswer: -264*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 105 = -0*n. Let l = -18 - n. What is the second derivative of -99 - 4*k**l - 2*k + 99 wrt k?\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21013 - 0?\nAnswer: 21013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 745, 4140, 13283, 31048, 60309?\n\"Answer: 479*x**3 + 42*x + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*p = -364. Let r = p - -54. What is the smallest common multiple of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -500+33\nAnswer: -467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, 8, 62, 138?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1052 divided by 2\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2488490767?\nAnswer: 7, 355498681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/2 - 63\/(-14). What is the smallest value in 5, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sg when two letters picked without replacement from ssgssgsgsggg.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15436 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = c - 0*y + 2*y, 2*y + 2 = 5*c. Suppose 0*x = -20*x + 80. Let b(l) = 237 + 231 - x*l - 471 + 2*l + 6*l. Calculate b(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 534 divided by -6.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -447778.894 + -174.\nAnswer: -447952.894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11)\/(-10)*1 - (-81)\/(-162). Which is the third smallest value? (a) w (b) 8 (c) -1 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04001556469 rounded to five decimal places?\nAnswer: 0.04002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 3*q - 2*b, 2*b = 4. Let n = -16.9 - -17. What is the nearest to 1 in n, -0.5, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - n**2 + n. Determine u(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 183*b**2 - 8277*b - 2012. Determine f(83).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**5\/7 + 10*q**4\/7 + 26*q**3\/7 - 82*q**2\/7 - 24*q\/7 + 72\/7 = 0.\nAnswer: -3, -1, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 14*i + i**2 - 12 + 104 - 64. Determine w(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*i + 5. Let n be (0 - 0\/1)\/1. Suppose -5*v + 3*g + 92 = n, -4*v + g = -6*v + 39. What is the remainder when v is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13560?\nAnswer: 2, 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of (-186)\/(-4)*(0\/2 + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1663343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -54 + 22?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -0.1155?\nAnswer: -0.3465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**3 + 6*j**2 - 10*j - 1. Let h(p) = p**3 - 1. Let l(t) = 3*h(t) + q(t). Is 5 a factor of l(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 242.24 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) -93\/8 (c) 2\/5 (d) 1 (e) -3 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -420156 (base 7) to base 8.\nAnswer: -214670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 354949096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**3 + 100*c + 108*c - 228*c + 20*c.\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, y: 5, k: 2, g: 1, i: 3}. Give prob of picking 1 y and 1 j.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 150383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 1:54 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - y - 2. Let i be m(4). What is the remainder when 191 - 1 - (13 - i) is divided by 48?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -2. Let w(q) = -q. Let v(m) = -m**2 + 6*m - 6. Let s be v(5). Let c(i) = i + 2. Give g*w(l) + s*c(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/33*154\/28.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1653155 to the nearest integer?\nAnswer: 1286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 567*b**3 + 208*b**3.\nAnswer: 775*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*v**4 + 2*v**4 + 4*v - 6*v**4 - 452 + 3*v wrt v.\nAnswer: -4*v**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 + -159. Let p = w + 159. Calculate the highest common factor of 376 and p.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 80\/(-35) + 7656\/3080. What is the closest to 0 in 4, 1\/6, c, -32?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1205 - -2553. What are the prime factors of m?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27*i**2*y + 32*i**2 - 1095*i*y**2 - 68 wrt y?\nAnswer: -27*i**2 - 2190*i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a = 38*a - 1259149. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0*(f\/(f**6*f))\/f)\/(f**(3\/5)\/(f*f\/(f\/f**3))))\/((f*f*(f**(-2\/9)\/f)\/f)\/f*f*f\/f**3)**(-41) assuming f is positive.\nAnswer: f**(-4262\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 79 (c) -9.94 (d) 14\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 249 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from mfmmmm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Expand -m**4 + m**3 - m**3 + 0*m**4 + 2*m**4 + 0*m**4 + (2 - 3 + 0)*(-m**4 - 3*m**3 + 3*m**3) - 3*m + 3*m + m**4 - 5*m**3 + m**4 + 5*m**3.\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 2*q - 322, -5*h = -17*q + 18*q - 1610. List the prime factors of h.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40888124 and 8132.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, r: 2}. Give prob of picking 1 r and 3 s.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4393, 4367, 4343, 4321, 4301?\n\"Answer: x**2 - 29*x + 4421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/22)\/a**(6\/5))\/(a**(-2\/5))**18 assuming a is positive.\nAnswer: a**(131\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -79*y + 531 wrt y?\nAnswer: -79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 55 - 137 - o + 88. Let q(l) = l - 3. What is 7*q(d) + 3*w(d)?\nAnswer: 4*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -109875.6 to the nearest 1000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 290*f**2 - 6391*f - 113. Give r(-24).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 32 = 2*w + n, 0 = 5*w + 4*n - 165. Find the third derivative of 14*v**2 - 29*v**4 + w*v**4 + 16*v**2 wrt v.\nAnswer: 192*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - l**2 + 2*l - 4. Let o be k(2). Let f(z) = -z**2 + 4*z + 3. Let h be f(o). Is 5387\/(((-2)\/h)\/((-20)\/30)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/14 + 6\/(-21). Which is the nearest to 2\/5? (a) l (b) 5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(832) - -5*sqrt(832)*3) + 4 + 5 + sqrt(832))**2.\nAnswer: 3536*sqrt(13) + 240617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 2 = -5*w - 22, -26 = 5*d + w for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 392*4704\nAnswer: 1843968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -32199, -63519, -94841, -126165, -157491?\n\"Answer: -i**2 - 31317*i - 881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 4*l - 36 = 0, -3*x - 3 = 4*l - 2*l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from ssqkzzzsks?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 6:01 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 1. Let i = -0.6 - h. Which is the biggest value? (a) i (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14109 rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 - 2825*u**2 + 209880*u.\nAnswer: 5*u*(u - 477)*(u - 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 60, 71, 84, 99, 116, 135?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 112564324 (base 7) in base 10?\nAnswer: 6923620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(45) + -4 - sqrt(45)) + sqrt(45) + 5)**2.\nAnswer: -6*sqrt(5) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 567112 and 38239552?\nAnswer: 267676864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 1940*w - 1960*w - 88, w + 137 = 4*a for a.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**4\/12 - z**3 - 5*z**2 + 5*z. Let h be b(8). Suppose -5*s - 4*f - h + 111 = 0, 0 = -4*f. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21486739*a**2*w - 2535*a*w - 20797*a wrt a.\nAnswer: 42973478*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -273396.99?\nAnswer: 27339.699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1013288 and 253322.\nAnswer: 1013288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 395 - 205. Suppose 0 = -2*k - x - 14 + t, 99 = k - 5*x. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021 + -21002212020202?\nAnswer: -21002212022000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-12)\/(r*r**9*r))**(-5\/11)\/((r**(-1\/3))**(-5\/3)*r**(-2\/15)\/(r**6\/r*r)) assuming r is positive.\nAnswer: r**(7936\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**2 - 6*v**2 + v**2)*(-v + 0 + 0) - 5*v**2 + 5*v**2 + v**3 + (6*v**2 - 11*v**2 - 15*v**2)*(3*v - 3*v + v).\nAnswer: -18*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/6 + 182\/52. Suppose -3*u = -4*s - 142, 150 = 4*u - y*s - 38. Is 26 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4655 + -3788. Calculate the remainder when a is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**5 - 30*o**4 - 74*o**3 + 102*o**2 = 0. Calculate o.\nAnswer: -3, 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*m + 10 = 0, -l - m = 3*m + 8. What is the remainder when l\/1 + (-5 + 182)\/3 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n = -24*n + 9. Suppose z + 3*p = 1, 0 = -2*z + 5*p - n + 14. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/10 + 2\/(-10). Suppose -s + 4 = -w. Suppose 0 = -4*z - o + 8 + 8, -z + s = o. Solve 0 = j + j + z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 311*c*r**4*t + 2*c*r**2*t + 1109*c*r**2 + 2*c*r*t - 2*c - 10*r**4*t - 68*r**4 - 5*r**2*t wrt r.\nAnswer: 7464*c*r*t - 240*r*t - 1632*r","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 4*w - 10 = 0, 44 = t - 6*w + 27 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 814941 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + g - 2. Let m be g\/(-4) + (-26)\/(-4). Find the third derivative of s**2 - s**m - 4*s**6 + 6*s**6 wrt s.\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5350 + -69.670474.\nAnswer: 5280.329526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x**3 - x. Let a be i(-1). Let u be a\/(-39) - 27\/78. Let t = -0.9 + 0.6. Sort u, t, 3 in ascending order.\nAnswer: u, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19587970 greater than 19587970?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -162*o**3*w + 301*o**3 + 1512797*o**2*w - 4*o**2 - 92998 wrt w.\nAnswer: -162*o**3 + 1512797*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 22*w**4\/17 + 1118*w**3\/17 + 3668*w**2\/17 - 13112*w\/17 + 2256\/17 = 0?\nAnswer: -47, -6, 2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 + -24. Let k = t - 17. Factor 10*o**2 - 5*o + 14*o**3 - 15*o**3 - 10 + k*o**3.\nAnswer: 5*(o - 1)*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 14*v**4\/15 - 11156*v**3\/15 + 550454*v**2\/15 + 26288*v\/5 = 0.\nAnswer: -1\/7, 0, 53, 744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4688125 divided by 6.\nAnswer: 4688125\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = 2*o - 2*s, 2*s - 259 + 45 = 5*o. Let c be 15\/(-4) + (-40 - o). Factor c*h**2 + 0 + 1\/2*h.\nAnswer: h*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -353, -749, -1183, -1661, -2189, -2773, -3419?\nAnswer: -4133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4282 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 0*t + 4*t)*(-5*t**3 + 8*t**3 + 4*t**3)*(-16*t - 14*t - 36*t).\nAnswer: -924*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-24)*3*80\/20)\/(6\/135).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 655000 is divided by 19840.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31b2c5 (base 15) to base 10.\nAnswer: 2366510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(150\/(-15))*3\/258.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 13*a**3 + 7*a + 4. Suppose -3*x = -4*x + 7. Let i(u) = -9*u**3 - 5*u - 3. Let c = 13 - 8. Give c*v(t) + x*i(t).\nAnswer: 2*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**3 - 2*l**2 - 6441*l + 19340. Give b(3).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/3*1*(-483)\/(-92)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2320 is divided by 330.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 9094371\nAnswer: 1\/3031457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 284176722 to the nearest integer?\nAnswer: 16858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v - 3. Let m be x(2). Let j(z) = 1 + m + 3*z**3 - 2*z**3 + z - 14 - 14*z**2. List the prime factors of j(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -22, -67, -142, -247, -382, -547, -742?\n\"Answer: -15*u**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -45945, -45931, -45901, -45849, -45769, -45655, -45501?\n\"Answer: d**3 + 2*d**2 + d - 45949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 4*l**2 + 3*l - 6. Let x be s(-5). Solve -16 + 7 = -5*m - 2*c, 0 = -3*m + x*c + 21 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2098\/10)\/(1\/5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(20\/24)*5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 - 2*f**2 - f**2 + (-100 + 100 + 9*f)*(43 - 2*f - 43) + 29*f**2 + 1017*f - 1017*f - 1 + f**2 + 1.\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 30\/55*(-132)\/(-18)*(-63)\/(-12)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1034211233 to the nearest integer?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(5*t + t + 3*t)*(1 + 2 - 5).\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-4 + (sqrt(5) - 3*sqrt(5)) + sqrt(5) - sqrt(5))**2 - (sqrt(180) + sqrt(180) + -3 - sqrt(180))).\nAnswer: 10*sqrt(5) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(20)*4 - sqrt(1280)*6) + 5.\nAnswer: -88*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -83 + 82.6. What is the nearest to -0.1 in 4, -0.3, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17430940 by 238780.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1592 by 1.\nAnswer: 1592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 24*i + 5. Let p be g(3). Suppose -4*k + 63 + p = 0. Let s be 133\/k - 1\/(-5). Solve 0 = -s*n - n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2199 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 6 - 2 + 8*r**3 as u*r**3 + o*r**2 + p + j*r and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + (7 - 14) + 0?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22211101 - 112201200?\nAnswer: -212120001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17670410, -35340820, -53011230, -70681640, -88352050, -106022460?\n\"Answer: -17670410*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6360.357 months?\nAnswer: 5.3002975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -225188*b + 900683. Determine l(4).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hfzf when four letters picked without replacement from hhzffhhhfhhfzhhhfhh?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 6*n - 8. What is l(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(15\/(-12))*5. Find q, given that -q**3 + 11*q**3 - 10*q + 6*q**f + 0*q**2 + 2 - 10*q**2 + 2 = 0.\nAnswer: -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 3*u**2 - 5*u - 4. Let b(h) = 22*h + 43. Calculate the remainder when b(2) is divided by o(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -6*g - 26. Calculate the greatest common divisor of 95 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.7 + -4. Let n = 2.05 + -0.05. Let w = n - 1.9. What is the biggest value in f, w, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -18*f + 672. Let l be 43\/5 - f\/(-105). Calculate the greatest common factor of 90 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 194744 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.2 - 1.5. Let p = 11 + -15. Which is the third smallest value? (a) 3\/8 (b) p (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*o + 1. Let h be (10\/4 + 0)*o. Let n be (4256\/(-7))\/(-19) + -7. Calculate the greatest common divisor of n and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**3\/2 - 13*k**2\/2 - 5*k - 1. Let b(m) = m - 6. What is -7*b(i) + 3*y(i)?\nAnswer: 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4907 (base 13) in base 10?\nAnswer: -10316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 407670 to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + (-5 - 1048\/(-96)))*2.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = j + 5*p, -4*j - 209 = -0*p - p. Let o = 53 + j. Solve -l + 3*r + 4 = -10, -5*l - 5*r - 30 = o for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/14)\/(11\/7). Let w = -10 + 9.94. Which is the fourth biggest value? (a) 0.4 (b) 1\/3 (c) y (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53.48 - -53.52646. Let q = -0.0473 + u. Round q to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**2. Let o(f) be the second derivative of 17*f**6\/24 + 19*f**3\/3 - f + 19. Let a(t) be the second derivative of o(t). Calculate a(w(k)).\nAnswer: 1020*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*l**3*x**2 + 23*l**3 - 974*l**2 + 4*l*x + 3*l + 1124879*x**2 - 77 with respect to x.\nAnswer: 6*l**3*x + 4*l + 2249758*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/99*126\/14.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158108678?\nAnswer: 2, 7, 13, 43, 89, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -8. Suppose -5*v - 183 + 53 = 0. Let q = t - v. Does 22 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 h when three letters picked without replacement from hhhhhrfhhrhprphhpph.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2. Let h(x) = 1. Let j(y) = -8*y + 4. Let z(a) = 4*h(a) - j(a). Determine z(v(n)).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 313\/10 + -31. Let f(a) be the third derivative of -7\/60*a**6 + 0*a**3 + d*a**5 + 0*a - 3*a**2 + 0 - 1\/6*a**4. Factor f(p).\nAnswer: -2*p*(p - 1)*(7*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 841160629?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wiz when three letters picked without replacement from wtitzztziai?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 615?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 12*x - 10*x - 17 = 0, 2*k + 4*x = 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/39080 and 51\/10.\nAnswer: 39080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and 1\/153 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/(-20))\/(57\/285).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 - -40. Suppose -20*c - 7 = -27. What is the units digit of 32\/q - c*-17?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 4*s**2 - 3*s + 14. What are the prime factors of z(7)?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21869\/874 - (-32 - -57)?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 9:09 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, b: 6}. What is prob of picking 1 y and 1 b?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k + 50. Let t(r) = -10*r + 4. Let u(g) = 12*g - 5. Let o(a) = 5*t(a) + 4*u(a). What is o(b(y))?\nAnswer: -4*y - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5*(1 + sqrt(300)))**2 + -1.\nAnswer: 1000*sqrt(3) + 7599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -175977 and 1287796.\nAnswer: 1111819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 51882, 103764, 155646, 207528, 259410, 311292?\n\"Answer: 51882*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 700, 2802, 6298, 11182, 17448?\nAnswer: 25090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 13. Suppose 0*f + 2*f - 2*r - 8 = 0, 15 = -3*r. Which is the closest to f? (a) 0.2 (b) 2\/19 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3501.5222 to the nearest 10.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cz when two letters picked without replacement from scuuueucusuzxu.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 531 - 179 = 4*h. Suppose 4*w - 5*n + h = 2, 5*w - 5*n = -110. Let j = 0 - w. Calculate the highest common factor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118190 a multiple of 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q**5 - 1025*q**4 + 2920*q**3 - 2685*q**2 + 810*q = 0. What is q?\nAnswer: -54, 0, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21 and 48\/9421.\nAnswer: 9421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076665 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 4. Let b = -54.4 + 60. Let d = p + b. Sort -4, d, 0.4 in decreasing order.\nAnswer: 0.4, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/49)\/(-120*(-173)\/(-36330)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 945 - 953. Let h be s\/5*30\/(-12). Solve -2*m - 20 = h*c - 5*m, -22 = c - 5*m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69 - 65. What is the fourth biggest value in g, -0.3, 0.5, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 + 12*s - 4. Let y be h(-9). Let k = y + -18. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6437, 12674, 18681, 24458, 30005, 35322?\n\"Answer: -115*s**2 + 6582*s - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(153) - sqrt(153)*2)*-6.\nAnswer: -72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-122)\/(-14) - 4\/(-14). Let k = b - 7. Suppose -10 = -k*z, q + 2*q - 141 = -3*z. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15504 and 931?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, w: 1, u: 4, q: 4, y: 2, h: 1}. Give prob of sequence wug.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.9 - 3. Let c(i) = -i**2 - 28*i - 160. Let l be c(-8). Sort -1\/5, -3, l, z in descending order.\nAnswer: l, z, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -2791062 = -2791063?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*b - 94174, -5*b - 4*o + 47087 = -4*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*((-732)\/(-20) + -2). Let m = v - 34. Which is the second biggest value? (a) -0.02 (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10806, -10396, -9718, -8772, -7558?\n\"Answer: 134*q**2 + 8*q - 10948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**4\/6 + 67*i. Let n(c) = -c + 2. Let r(s) = -4*s + 9. Let t(z) = 9*n(z) - 2*r(z). Calculate x(t(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 40*d - 6. Suppose -5099*n = -5124*n - 25. Let f(t) = -1. Determine n*p(b) + 6*f(b).\nAnswer: -40*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*x**2 - 543 + 543 to f + s*x + o*x**2 and give o.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2 - 9*v - 4. Suppose 3*r - 23 = -r + j, 2*j = r - 11. Let b(i) = 2*i**2 + 8*i + 3. Let f(w) = r*b(w) + 4*m(w). Give f(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36939007 or 36939008?\nAnswer: 36939007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4290 by -2.\nAnswer: -2145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231 = -46*p - 91 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 1001122000?\nAnswer: -1001121221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38)\/(-20) - 2)\/(70\/(-280))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5428 - -6151. Sort c, 0, 4 in descending order.\nAnswer: c, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328655.\nAnswer: 5, 65731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 5*f - 27, 5*f - 1468 = 4*g - 1437 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*v - 121 - 3*v**3 - 45*v + 121.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + 0. Let s = -5 - -2. Let p = -182.6 + 183. What is the biggest value in s, p, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33 by 2572329.\nAnswer: 11\/857443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 58*c - c**2 + 5830 - 11672 + 5833 - 2*c**2 - 2*c**2 + 2*c**2 + c - 2*c**2 - c + (-2*c - 2*c + 5*c)*(-2*c - 1 + 1).\nAnswer: -7*c**2 + 58*c - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 18, 5, -302, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/6)\/((-2)\/(-18)). Suppose 0 = 2*y - 5*y + n, 3*y - 25 = -s. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.07, 2\/29, 3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a milligram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/4768 + -20863\/14304. Find the common denominator of 19\/64 and n.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 12\/161 (b) -2 (c) -4 (d) -94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 4*r = -m - 16, 0 = 5*m + 4*r - 29 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43288 and 27055?\nAnswer: 216440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36.722 + 36.705397. What is y rounded to three dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6 = -3*c, 0*j = -3*j - c + 42. Let x = 169 - 158. Suppose 12*n = -x + 35. Solve -y = n*y + j for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2698 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 343796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 - 5 + 14)*(-o**3 + 3*o**3 - 3*o**3).\nAnswer: 19*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 227 - 178.5. Let d = u + -34. Let g = d - 17. Round g to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169, -9491, -35701, -86735, -170867, -296371, -471521, -704591?\nAnswer: -1003855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*w - 42*w - 23 - 29*w + 24 + 106*w.\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1076, 1008, 940, 872, 804, 736?\n\"Answer: -68*s + 1144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (sqrt(19) + 2)*1 + sqrt(1216)*-1 + ((sqrt(114)*1)\/sqrt(6) - (sqrt(19) + sqrt(19) + (2 + sqrt(19))*-4)))**2.\nAnswer: -60*sqrt(19) + 271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01 + 0.09. Put -0.1, -5, 2\/13, d in increasing order.\nAnswer: -5, -0.1, d, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/1*-1)\/((32\/(-16))\/(-2))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*m - m - 13, 3*y + 9 = -m. Suppose -21 = 4*x + m*x. Put -1, -4, 5, x in decreasing order.\nAnswer: 5, -1, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 239923, 959702, 2159335, 3838822, 5998163, 8637358, 11756407?\n\"Answer: 239927*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/((r**(-9)*r)\/r))*r**(1\/3)*r*r*r)**(2\/15))**38 assuming r is positive.\nAnswer: r**(-1292\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12624\/(-11046)*(-45)\/48*1?\nAnswer: 15\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -464\nAnswer: -1\/464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(136) + sqrt(136) - sqrt(136)) + sqrt(34))\/(-3*sqrt(2)*4 - sqrt(2)).\nAnswer: 5*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = o - 5. Let f be 2\/1 - (o + -45). What is the greatest common factor of 110 and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5654431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 14. Let c(b) = -6*b + 70. Let d(h) = 3*c(h) - 16*l(h). Let w(f) = -1. Give d(t) - 12*w(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 10*i**3 + i**2 - i. What is the tens digit of c(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.00524 + -1.99476. Let r = 13 - 8. What is the nearest to -3 in i, 4, r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 + 400*v - 2996.\nAnswer: 4*(v - 7)*(v + 107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 + -58 - -90\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71582239607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.5 <= -5.591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -t**4 - 831*t**3 + 1950*t**2 wrt t?\nAnswer: -24*t - 4986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n**2 - 39*n**2 + 12*n**2 + 19*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 4*f**2 - 3*f - 6. Let k be q(5). Let y be (-36)\/(-8)*k\/6. What is the tens digit of y\/15*3*25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213.436674 rounded to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 6*h, 2*a + 2*h = 38. Suppose 0 = -m + 4*c + 7, -2*c = -4*m - 6*c + 8. Suppose a = m*u + 4. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19, 14, 9, 4?\n\"Answer: -5*m + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -156102739*g + 427187390 wrt g.\nAnswer: -156102739","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -260, 5, -3, 826, -7 in ascending order.\nAnswer: -260, -7, -3, 5, 826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 divided by -2?\nAnswer: -553\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of k**4\/2 - 2*k**3\/3 - k**2 + 2*k + 6. List the prime factors of w(2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*u**2 + 156*u**2 + u + 6*u - u - u.\nAnswer: 4*u**2 + 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1.2. Let t = -55 + 163\/3. Which is smaller: d or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**3 - 6*z**2 - 6*z - 2. Let a be d(-2). Let l be (((-35)\/(-15))\/7)\/(a\/12). Suppose 4*m - 48 = -l*v, 50 = -v + 6*v - 4*m. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/30 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 5*q - 3. Let v be t(-3). Let h(o) = 12 + v*o - 2*o - 9. Let i(b) = -2. What is 2*h(f) + 3*i(f)?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 58 = -3*x. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 4:09 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + 495169*l - 495169*l + 5508*l**2 in the form r*l**2 + q + v*l and give r.\nAnswer: 5508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -184, 0, 136.\nAnswer: -184, -1, 0, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five sixths of a hour?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 602 times -5?\nAnswer: -3010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((5 - (-3 - -6)) + -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 45*l + 3. Give j(-1).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30241003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5*r + 30, -2*f + 0*f - 16 = -5*r. Let s = -4 + f. Sort s, 3, 2 in decreasing order.\nAnswer: 3, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3731 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -27 + l - 13*l**3 + l**4 - 4*l**4 + 28 + l**4 in the form u*l**4 + d*l + g*l**3 + h + x*l**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 2401\/5*l**3 - 98\/5*l**4 + 0*l - 1\/5*l**5 + 0*l**2 = 0.\nAnswer: -49, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 7*p + 12. Suppose 2*s - 5*c - 33 = 0, 4*s + 4 = -c + 37. Suppose -4*r = 0, -s - 6 = 3*v + 4*r. Determine d(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.325 - 0.26532. Let n = 21.12068 - u. Let x = -21 + n. What is x rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1775806754 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 9*x - 4*w - 52 = 0, 26 = x + 3*w. Suppose 5*l = 3*u - 8*u + 190, l - x = -5*u. Calculate the remainder when l is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433346599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*b**3 - 7599*b**2 - 180840*b - 400752 = 0. Calculate b.\nAnswer: -44, -69\/28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**2 - 1756*r - 20846. Give x(-12).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -4*y + 7*y, x - 6 = -4*y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -491.4 - 4\nAnswer: -495.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + 2*sqrt(133))*-3 + sqrt(133))\/sqrt(7) + 2.\nAnswer: -8*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 171? (a) 1 (b) -5\/166 (c) 2 (d) -0.3 (e) 3 (f) 1\/21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/((-4)\/(-1)) - -110. 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: Let m = -17 + 14. Let w = -9 + 5. Let i be 6\/(-35) + w\/10. Put -4, i, m in decreasing order.\nAnswer: i, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 338 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -66, -58, -48, -36, -22?\n\"Answer: w**2 + 5*w - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2064 divided by -2\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 19, 21, 23, 25?\n\"Answer: 2*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -5. Let z = s - 5. Let b = -2.9999983 + z. Round b to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 12 = 4*b, 2*z - z + 12 = -4*b. Suppose 2*w = -n - 46, -2*n + 4*w - 124 = -z*n. Find the common denominator of (n\/(-55))\/(8\/30) and 57\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*((-2)\/(-3))\/(-2)*-12\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -5\/5729724?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -5. Let j(b) be the third derivative of -b**4\/4 + b**3\/2 - 2*b**2 - 26*b - 3. Give j(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 14*c**2 + 22*c - 34. Let d be (3\/12)\/(5\/10)*30. What is the tens digit of l(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 5*f - 13. What is the units digit of n(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.271 + -0.071. What is the fourth biggest value in 4, v, -1, 27?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 24520\nAnswer: -1\/6130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 334478 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**5 + 2*r**2 - 2*r**2)*(1 + 0 + 11).\nAnswer: -24*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 111 and 135.\nAnswer: 4995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -1. Let i(o) = -2*o**3 + 2*o**2 - 4*o - 6. Let x be i(-1). Solve v = -2, p*v - 2*v - 6 = x*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -339, 1 in decreasing order.\nAnswer: 1, -0.2, -339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68780\/9 - 7642. Find v, given that -2\/9*v + z*v**3 + 4\/9 - 4\/9*v**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**2 - 4*r - 10. Let c(j) = 8*j**2 + 11*j + 29. Let u(y) = -11*b(y) - 4*c(y). Give u(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30161, 120617, 271377, 482441, 753809?\nAnswer: 1085481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -644987 (base 10) to base 9\nAnswer: -1182672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -690646*x*y**2 + 1452*x*y - 3*x + 11*y - 3 wrt y?\nAnswer: -1381292*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-28)*(-19)\/171*-30?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 8 - 4)*(0*f + f + 3*f).\nAnswer: -84*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {h: 13, o: 5}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.55660606 - -7.916606. Let n = 0.36 - o. Round n to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12200 - -195175\/16. Calculate the common denominator of -4 + 5 + (-106)\/24 and w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + 0.1. Let r = 7963\/5 + -1593. Let s = 10 + -14. Which is the nearest to -1? (a) s (b) r (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -85 (base 15) to base 9.\nAnswer: -148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w**2 + 139*w - 476. Determine r(-36).\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - -88. Calculate the highest common divisor of u and 153.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -145266.\nAnswer: -72633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -59 - -54 - (-1 - 0 - -2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = -4*u + 11*u. Solve 12*a - 5*a = u for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.3272535 rounded to 3 decimal places?\nAnswer: 5.327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - 0. Let a be (32\/(-6) - -2)*c. Suppose 2*g - a = -2. What is the highest common factor of 32 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 + -20. Suppose -v - 18 = 2*v. Let l = v - -11. Solve -q - 1 = l*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12, -0.9, 16, 0.1, 0.3?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**2 - 3*u - 43*u**4 + 15*u + 13*u**4 - 24*u**4 - 13*u in the form l*u + n*u**4 + v*u**3 + m + t*u**2 and give n.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/163395 and 40\/5958471.\nAnswer: 89377065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14\/(-3))\/((-12)\/(3545998 - -2)). Round b to the nearest 10000.\nAnswer: 1380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3518514574.\nAnswer: 2, 179, 9828253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7174717\/33332 - 1\/8333. Is k less than 214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 13. Suppose y - 2 = -g. What is the derivative of t + y*t - 2*t + 2 wrt t?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 189 - (-13)\/26*0\/(-1). Let g be 108\/v - (-80)\/7. Solve -3*o = -g - 3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 3)*(-2*z + 0 + 0).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3586120 or -3586147?\nAnswer: -3586147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11021133 + -2?\nAnswer: -11021201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78953*q = -79009*q - 2072 for q.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 600 = 4*y - 400. What is the remainder when (-1)\/(-4 + 998\/y) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 187, 366, 543, 718, 891, 1062, 1231?\n\"Answer: -x**2 + 182*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(16\/3))**(-5\/6)\/(k\/((k**(-41)*k)\/k)*k*k*k)**(-38))**(-10) assuming k is positive.\nAnswer: k**(-153500\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -171.\nAnswer: -5\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1879428515 + -10491.5\nAnswer: -1879439006.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 11. Suppose -2*m = 5 + 7. Let t be -3 - (m\/8*1 + -2). Which is smaller: x or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -28*d + 1156. Calculate o(41).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 11161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14376811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2 + 12 = 0. Suppose v*m - 17 = -x, -7*x - 4*m = -2*x - 97. Calculate the remainder when 2121\/35 + (2 - 13\/5) is divided by x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -82, -128, -176, -226, -278, -332?\nAnswer: -388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -148*n**3 - 17*n**2 - 43*n + 91. What are the prime factors of a(-6)?\nAnswer: 5, 17, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 4*c)*(4*c + c - c).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by -12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 5 (c) 2 (d) -0.3 (e) -1932 (f) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10597528894 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1281*f - 5793 wrt f.\nAnswer: 1281","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -275, -1, -9, -3, -4, 2.\nAnswer: -275, -9, -4, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -j**7\/630 - j**6\/45 - 2*j**5\/15 - 5*j**4\/2 + 5*j. Let a(n) be the third derivative of s(n). Factor a(k).\nAnswer: -4*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 313.2 (b) 5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -z**4\/4 + z**3\/6 - 3*z**2 - z. Let u(r) = -50 - r**2 - 22 + 69. Let g(c) = 2*t(c) - 5*u(c). Factor g(n).\nAnswer: -(n - 3)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3141 is divided by 210?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.711 + 0.229. Let t = 0.06 + g. Suppose -7 + 4 = 3*k. Which is the third biggest value? (a) t (b) -3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**2)**(-1\/59)*(c\/(c*c\/(c*c**3))*c*c)**2 assuming c is positive.\nAnswer: c**(586\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18255189 by -6.\nAnswer: -6085063\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5*p**2 - 292*p - 2177. Calculate x(-8).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -23, -0.02, 0.1.\nAnswer: -23, -0.02, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 3416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 30*l + 20. Let s be -1*6*(-7409)\/1434. Give i(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 3*i - 29 + 139, -4*l + i + 453 = 0. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.7215743 nanograms?\nAnswer: 0.0000000000007215743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i*s**2 - 451203*i*s - 61*i - 24039595*s**2 wrt s.\nAnswer: -4*i - 48079190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 + (22 - 20) + -6 + -15?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 8*a = -1274. Suppose 0 = -4*i - 3*i + a. 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: What is the highest common divisor of 20888 and 74579112?\nAnswer: 2984","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 2*q**2 - 2. Suppose 0 = 3*g + z + 9, -2*g + z - 3*z - 10 = 0. Let r be s(g). Is (65 + 3)\/((-4)\/r) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -6. Let d = c - -9. Let g = 0.987 + 0.013. What is the closest to 2 in -3\/4, d, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 3*h**2 + 3*h + 3. Suppose 2*y + 20 = -3*y. Let q be g(y). Let c be (-3 - (-65)\/15)\/(76\/171). Solve -c*x - 5 - q = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1175*s - 914*s + 5059*s - 1127*s - 1194*s.\nAnswer: 649*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -151775, -303566, -455371, -607190, -759023, -910870, -1062731?\n\"Answer: -7*p**2 - 151770*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1539 + -15429\/10. Let z be (5\/(-1))\/(2\/310). Let n = z + 3127\/4. Calculate the common denominator of v and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/13 + 240*c\/13 - 1582\/13.\nAnswer: -2*(c - 113)*(c - 7)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.102 times 3?\nAnswer: 0.306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-1 + (-26)\/(-22)). Suppose 4*z + m = 14. Let i be (38\/285)\/(z\/10). Is i at least as big as -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34987\/77 - 4940\/11. Let 38\/7*r + 1\/7*r**2 + c = 0. Calculate r.\nAnswer: -37, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002238022126 to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 71 + -71 - (1 + -13).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -8. Let m be 6\/(-4) + 4\/u. Let t = -4 - m. Do -2 and t have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24318, 48638, 72958, 97278, 121598, 145918?\nAnswer: 170238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiriiiiiiiriiiii. Give prob of picking 2 i.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 123, 625, 1517, 2799, 4471, 6533, 8985?\n\"Answer: 195*n**2 - 83*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**3 + 938*b**2 - 21063*b + 54720 = 0 for b.\nAnswer: -960, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 15*w + 105. What is k(-11)?\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -20 (b) -2 (c) 0.038 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 9:20 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2f (base 16) to base 5.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3964277159?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 10*k**2 + 9*k. Suppose -w = -5*u + 47, 2*w = -5*u - 15 + 56. What is y(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 191830000 to the nearest 1000000.\nAnswer: 192000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -16 (c) -0.5 (d) -8778 (e) -1\/8 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -b**6\/120 + b**5\/12 + b**3 - 15*b**2\/2 - 15. Let x(s) be the second derivative of o(s). Determine x(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/3 - 715*m\/3 + 478.\nAnswer: -(m - 2)*(m + 717)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*(-40)\/100.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111000110011010 - 11000111110?\nAnswer: 1110101101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62 - 62 - 10*d)*(-1 + 1 - 1).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 b when two letters picked without replacement from lbllblllbbbl.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140 divided by 70.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 10*t - 106. Suppose -j - 2*l = 3, -4*j + 5*j - 5*l = 32. Suppose 0 = j*n - 2*n - 40. What is the remainder when t is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13)\/(-6) + (-5)\/30. Suppose -z + g*z = 2. Which is the nearest to 2\/5? (a) -3 (b) 2\/19 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 267 and 434?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.56 - -38.86. Let v = 27.3 - k. Let d(g) = g + 5. Let h be d(-6). Which is the biggest value? (a) v (b) h (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/19? (a) -12 (b) -1\/4 (c) -75 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -22236 divided by -4?\nAnswer: 5559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 8:53 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3 + (-48)\/(-3))*8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 115 - 32. What are the prime factors of c?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1573.858 days?\nAnswer: 135981331200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2856015377?\nAnswer: 2856015377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = -3*w. Which is bigger: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 4, 0.5, -0.3, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 10:11 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r - 2. Let m(z) = 5*z - 2. Determine 5*k(j) - 6*m(j).\nAnswer: -5*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.67 + -70.93. Let h = 274 + -346. Let l = m - h. Which is the biggest value? (a) 27\/5 (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 298844601 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -29, -65, -115, -179?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*b**3*u**2 - 20*b**3*u - 73*u**3 + 36*u wrt u?\nAnswer: 38*b**3 - 438*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -2 - (-18 + (-2 - -4)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*126604.\nAnswer: 37981.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 123813552.312 and 0.1.\nAnswer: 123813552.412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 3\/(-8) + (-211)\/(-8) - 1.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 810 and 11695752?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5429 (b) -11 (c) -0.13 (d) 0.1 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*l**2 + 2 + 5)*(88 - 88 + 22*l)*(-2*l**2 + 5 - 5).\nAnswer: 88*l**5 - 88*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-24)\/(-280))\/((-1)\/(-5)*-2). Let p = 44.9 - 46.9. What is the second smallest value in p, 0, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, p: 3, l: 1, e: 5, q: 3, k: 1}. What is prob of picking 1 q, 1 e, and 1 z?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/2)\/((-8)\/(-576)). What is the greatest common divisor of c and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z**3 - 3*z**2 + 20*z - 34. What is m(2)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2026 - 2011 = -2*c, -3*c + 36 = 2*i. What is the closest to -2\/19 in c, 2\/3, -2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -285, -714, -1285, -1998?\nAnswer: -2853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u + 1. Let r be y(-1). Suppose 0*k - r*k - 20 = 0, -3*b + 4*k = -31. Suppose 0 = -b*f + 511 - 66. List the prime factors of f.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -5. Let q(r) be the first derivative of r - 1\/4*r**4 + f + 1\/2*r**2 - 1\/3*r**3. Factor q(y).\nAnswer: -(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3308454 years to months.\nAnswer: 3.9701448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 1) + 3 - (0 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**4\/24 - a**3\/6 + 36*a**2. Let c be s(-5). Let r be 22*(3\/2 + -1). Solve 5*m + 1 = -2*o, r = c*o - 2*m - m for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 4*c. Suppose c*g - 7*g = -3493. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 128.5658nm to kilometers.\nAnswer: 0.0000000001285658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*f**2\/5 + 81452*f\/5 + 54304\/5.\nAnswer: -2*(f - 13576)*(3*f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/24253392 and 71\/789?\nAnswer: 6378642096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 302*h + 45*h + 157*h + 77*h + 5*h.\nAnswer: 586*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003336396 to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-6) - 28782\/(-81). Let o be (-3)\/(-4) + s*(-10)\/(-600). Solve -o*u + 2\/3*u**2 + 50\/3 = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 45 + 113. Let k = -15 - n. Solve k*o = -2*o - 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -9*i. Let w(s) = 8*s. Let d(m) = -2*v(m) - w(m). Let b(f) = 19*f**2 - 4. Give b(d(y)).\nAnswer: 1900*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 11*u + 5. Give o(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x**(4\/15)*x)\/x))\/x**(-6\/7))\/(x*x**(1\/2))**(-15) assuming x is positive.\nAnswer: x**(5059\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -6 + -4 + (-1 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 329004 and 40404?\nAnswer: 2303028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 859.3104 milliseconds?\nAnswer: 859310.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26 rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4 + (-5*-2*sqrt(128)*5 - (sqrt(128) + sqrt(128) + -2 + -5 + -5)))**2.\nAnswer: 12288*sqrt(2) + 295164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 953, 2325, 4525, 7967, 13065, 20233?\nAnswer: 29885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10579376, 21158739, 31738112, 42317501, 52896912, 63476351, 74055824, 84635337?\n\"Answer: f**3 - f**2 + 10579359*f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 112579.\nAnswer: 1013211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -899279 divided by 1.\nAnswer: -899279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by 207425\nAnswer: 16\/207425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**2 + 4*j. Let o(d) = 20*d**2 - 27*d + 1. What is -23*l(i) - 3*o(i)?\nAnswer: 9*i**2 - 11*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/sqrt(4) - sqrt(55))\/sqrt(5)*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Expand 1782*n - 23*n**5 - 3*n**3 - 1782*n + (2*n - 2*n - n)*(-12*n**2 + n**2 - 12*n**2)*(3*n**2 + 4*n - 4*n).\nAnswer: 46*n**5 - 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (3 + -4 + -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 60. Let l(b) = b**2. Give l(y(p)).\nAnswer: p**4 - 120*p**2 + 3600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1912 is divided by 1555?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 2*c + 2. Give f(5).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223290664.\nAnswer: 2, 27911333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - -5 - (12 + -6 - 5). Suppose 77 = 3*k + x*w - 2*w, w = 2. Is (30\/k)\/6 + 5744\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -1\/2*g**2 - 8 + 0*g. Let b(f) = 2*f + 214. Calculate i(b(k)).\nAnswer: -2*k - 214","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 5*d**3\/3 - 15*d**2 + 45. Find o such that r(o) = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 4:41 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/3906 and 121\/1422.\nAnswer: 308574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2.45689 nanograms?\nAnswer: 0.00245689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6381 or 6383?\nAnswer: 6381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4056?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 10. Let r = 11 - 15. What is the closest to 0.1 in 3, n, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.2, 0.3, 1, 0.4, -27, 0.247?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24200042 (base 7) to base 4.\nAnswer: -20031032132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 20 = -4*t, 5*t - 5*d = -0*t - 25. Suppose -5*m - 3*m - 8 = t. Which is smaller: m or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-140)\/(-7) - 47) + 27?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(1539) - (0 + (sqrt(1539) - 3*sqrt(1539))))*4)**2 + (sqrt(1539)*-3*-1 + 1 + 2)**2.\nAnswer: -429372 + 162*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/204 and 11\/47934.\nAnswer: 1629756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18*k*p*r**2 + 36*k*p*r + 2*k*r**2 + 3336*p*r**2 wrt k?\nAnswer: -18*p*r**2 + 36*p*r + 2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*y + 10*y + 19*y.\nAnswer: 101*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 135*j**3 + 100*j**3 + 149*j**3 + (-5*j + 3*j + j)*(2*j**2 - 2*j**2 + 2*j**2).\nAnswer: 382*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a decade in years?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -170615 + -30?\nAnswer: -170645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 42\/11 - (-12)\/66. Suppose -b*o - 9 = -7*o. Solve -o*k = -k + 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 6*m**2 + 2*m + 3. Let k be a(-6). Let z = 12 + k. Find the third derivative of -7*l**3 + 10*l**z - 4*l**2 - l**2 wrt l.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (33*k - 54 + 54 + 0*k + k + 0*k + (2*k - 3*k - k)*(-1 - 2 + 5) + 2*k - 5*k + 5*k)*(2 + 2*k - 2) as h*k + z*k**2 + g and give z.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z + 1. Let w(u) = 7*u + 11. Let l(v) = 4*m(v) - w(v). Let q be l(-7). Suppose -5*h + q = -0*h. What is the least common multiple of 8 and h?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6935)\/(-950) + 7*-1?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -8*c**3\/7 + 34*c**2\/7 - 40*c\/7 + 8\/7 = 0.\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27186364*g - 27186364*g + 4*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6630c58 - -5?\nAnswer: 6630c60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 - -83. Let n = q + -21. Let o be ((-7)\/(n + 1))\/(1\/(-12)). Solve o*u = z + 2, 2*z = u + u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6927 - -10629. Let o = -1213 + x. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/11)*m*m)**(-24)\/(m\/m**(1\/3)*(m**(-19)\/m)\/m) assuming m is positive.\nAnswer: m**(-1057\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 185, 186, 187, 188, 189, 190?\n\"Answer: y + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(612) - (0 + sqrt(612))) - sqrt(204)\/((sqrt(120)*1)\/sqrt(10)))**2.\nAnswer: 4*sqrt(17) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -2. Let k = 18 + -18.9. Let j = 0.7 + k. What is the nearest to b in j, 0.1, 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/2 - 1322153*u**3\/2 + 3966465*u**2\/2 - 3966467*u\/2 + 661078.\nAnswer: -(u - 1)**3*(u + 1322156)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1976141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0, -106.95, 2359.\nAnswer: -106.95, 0, 0.3, 2359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111100100100011000 (base 2) to base 12.\nAnswer: -41a820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -1. Let n = q + -1. Solve -n*v - v + 9 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1509 - 1719 - 244 - 2328)*(2*k**5 - 2*k**5 + 2*k**5 + (-1 + 2 + 1)*(-4*k**5 + 0*k**5 + 0*k**5)).\nAnswer: 34800*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -80*l + 132*l + 80*l + 260*l + 301*l as c + q*l and give q.\nAnswer: 693","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i + 11. Let l(w) = 261*w. Calculate d(l(y)).\nAnswer: -522*y + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-2)\/26596*(-3)\/6. Let x = 718157\/864370 + s. Let d = x - 16\/13. What is the biggest value in -0.2, d, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 1:51 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4729482 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + 2502267208.\nAnswer: 2502267207.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 42 - -452?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**3 + 561*i**2 + 5*i - 79822. Determine k(280).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -341 or -2.85?\nAnswer: -2.85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a day in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129, 349, 715, 1227, 1885, 2689, 3639?\nAnswer: 4735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-8\/3)\/o)**(-2\/39))**(-2\/21))**34 assuming o is positive.\nAnswer: o**(-1496\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 273 + -272.8. What is the third biggest value in 8, p, 2\/9, 1\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1068 and 87564.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 + -245\/4. Which is the second smallest value? (a) h (b) -3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9229689 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: Round -31732588.1 to the nearest 10000.\nAnswer: -31730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8282 or 8309?\nAnswer: 8309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**2 + 61*j - 420. Let l be a(-30). Suppose 4*y + 2*x - 42 = -2, 0 = x - 2. Calculate the highest common divisor of l and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*b**2*i + 7*b**2 + 3*b*i + 2*b wrt b?\nAnswer: -22*i + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(24\/84)*468\/(-189)*3?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phwyqqphyqqeeq. Give prob of sequence hwh.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 63553378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 17, 0, -2, 23 in ascending order.\nAnswer: -5, -2, 0, 17, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(18) - (3 + (sqrt(50))**2 - sqrt(2)))*3.\nAnswer: -159 - 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/8)\/(-20 + 19). Let s = 0.94 - -0.06. Let w = 566.2 - 566.6. Which is the closest to 2\/7? (a) s (b) i (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226 = -10*g + 194. Calculate the highest common factor of g and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 6cd?\nAnswer: 6d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 100\/(6 - 2)*5\/25. Let a(h) be the third derivative of -1\/60*h**4 + 1\/30*h**3 + 1\/300*h**s - h**2 + 0*h + 0. Factor a(j).\nAnswer: (j - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1371.\nAnswer: 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(44) + (sqrt(44) + sqrt(132)\/sqrt(3))*-2 + ((sqrt(110) + 1*sqrt(110))\/sqrt(10) - -6*sqrt(55)\/sqrt(5)))**2.\nAnswer: 4*sqrt(11) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 737147, -3 in ascending order.\nAnswer: -3, 0, 737147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -f**6\/480 + f**5\/80 - 5*f**3\/6 - 6*f. Let j(k) be the second derivative of p(k). Let j(l) = 0. Calculate l.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*(-4 + sqrt(1100) + 2 - 1*sqrt(1100)*2)**2.\nAnswer: -4417 - 160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63 - -37. Let h = -153800 + 153795. Is h <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 547 a factor of 981318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 254910 and 3045.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1905*p - 779*p - 2274*p - 3*p**2 - 1631*p - 2066700 + 1609*p.\nAnswer: -3*(p + 830)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -219 + 253.3. Round u to 0 dps.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1718944.293 to the nearest 100.\nAnswer: 1718900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*n + 3. Let x = 2 + n. Let u(i) = 3*i - 3. Let o be u(2). Solve 2*f + x = -o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 0)*(-94 - 3 + 2)*(g - 2*g + 4*g)*(1 + 5 + 0) to the form k + v*g and give v.\nAnswer: -1710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w + 14. Let x be y(6). Let l = -3 - -3. Is 2 a factor of l + (-52)\/(-6) + x\/(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142765 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 38*o - 68. Let m be r(-40). Solve -30 = m*i - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1030218, -1030249, -1030280, -1030311, -1030342?\n\"Answer: -31*x - 1030187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 67.7 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 146*s**2 - 13*s - 5. Let p(h) = 72*h**2 - 6*h - 2. Determine -6*j(w) + 13*p(w).\nAnswer: 60*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**5\/25 - j**4\/15 - 2*j**3\/15 + 2*j**2\/5 - 4*j. Factor v(g).\nAnswer: 4*(g - 1)**2*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76923, 78608, 81417, 85350, 90407, 96588, 103893?\nAnswer: 112322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 6, -0.05, 1.15?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, n: 11, u: 2, v: 1, f: 4}. Give prob of picking 1 f, 1 n, and 1 v.\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4128 = -2*s - 3*u - 1369, -4*s - 2*u + 5506 = 0. Is s a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6019\/4 or 1504?\nAnswer: 1504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z. Suppose 0 = 3*l + 350 - 356. Suppose a + v - 5 = 3*a, -3*v = l*a + 17. What is r(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -109 + 153. Is 12 a factor of 117\/(-4 - y\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*i + 3*i - 3*i + i + (-i + 4*i - 2*i)*(-3 - 1 + 2) + i + 2 - 2)*(4 + 0 - 5 + 26) - 7*i + i + 17*i.\nAnswer: -64*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/3 - 56\/12. Let t = -25.3 - -27. Let h = t + -1.9. Which is the nearest to h? (a) l (b) -4 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 4*v**2. Let n(f) = f**2 + f + 2. Let p be n(-2). Let j be i(p). Suppose -2*k - 7*k + 486 = j. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13394 + -13390. Let n = 3 - 6. Let x = 0 - -2. What is the closest to -3\/4 in n, x, g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7556 is divided by 5997.\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Collect the terms in 9*n - 8*n + 6*n + 5*n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1834 and 15982?\nAnswer: 111874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 - -40. Let q(g) = 4*g**2 + 4*g + 5. Calculate the remainder when (24\/5)\/(3\/15) is divided by q(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*l + 52*l - 61 + 61 - 26*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2321212100 - 30020?\nAnswer: -2321302120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1579 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31332?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 23. What is the units digit of o(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h - 6. Let s(o) = 6 - 22*o - 1 + 20*o. Give -3*s(z) - 2*u(z).\nAnswer: 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 11:29 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 203587921 + -0.6\nAnswer: 203587920.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 130.\nAnswer: -1\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03 and 1.75.\nAnswer: 0.0525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -66 smaller than -0.904?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14562*-1085.\nAnswer: -15799770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6930950*i**2 + 6930950*i**2 - 13*i**3.\nAnswer: -13*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 28322.\nAnswer: 3\/28322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 21*w**2 + 0*w - 18*w - 15*w**2. Is h(6) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64337899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31373.29 + 31596. What is b rounded to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -6*p + 352. Let i be -2*908\/32*(-8)\/6. Let f = p - i. Calculate the common denominator of -87\/8 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-21))\/((-36)\/(-30))*-1?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7549468, -7549458, -7549436, -7549396, -7549332?\n\"Answer: n**3 + 3*n - 7549472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 14 = c, c - 5*u + 2 = -19. Let b(f) = -2 + f**3 - f - 2*f**2 + 1 + 3*f. Let a be b(2). Solve a*p - p = c for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 + -45 + 30)*(-2)\/(-136)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -34.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2 + -4*-1*(sqrt(243)*-1*-2 + -5) + 1)**2.\nAnswer: -3024*sqrt(3) + 15993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148154?\nAnswer: 2, 74077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(3 + 0\/(-1)). Let g = -388 - -388. Let k(o) = 4*o + 84 - o**2 - o**3 + g*o**3 - 93 - 3*o. Determine k(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -13. What is the third smallest value in -5, -4, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 4*c - 62, -10*c - 3*u + 39 = -7*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) -1\/4 (b) 2\/21 (c) 7\/4 (d) -4\/15 (e) -3448\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 28, 42, 62, 88?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1044.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/106335 and -80\/148869?\nAnswer: 744345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 247 - 1423 = 0. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 4 + 12 + -17.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4918, -4913, -4910, -4909, -4910?\nAnswer: -4913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 11 = -23. Let g = -15 + j. Suppose -g*b + 13 = 1. Solve -4*r - 9 = -m, -b = r + 3*r - 2*m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-343)\/(-147))\/(14\/90).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -20*x - 2*x**3 + 9*x**2 + 10*x - 15 + 3. Let d be q(14). What is the units digit of 3 + d\/(-42) - (-2)\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/5)\/u*u)**(-35))**(-36) assuming u is positive.\nAnswer: u**1512","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**3 + 15*v**3 - 44*v**3 + (-4*v**2 + 4*v**2 + 2*v**2)*(3*v + 9*v - 18*v) + (4*v**2 - 2*v**2 - v**2)*(4 + 2*v - 4) + 0*v**3 - v**3 - 2*v**3.\nAnswer: -44*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(6*(sqrt(1700) - (sqrt(1700) + -1)))**2*-4.\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/25 of a meter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 45 and 0.0601976?\nAnswer: 44.9398024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/4*o**5 + 4*o**4 - 13*o - 22 + 61\/4*o**3 + 31\/2*o**2 = 0. What is o?\nAnswer: -11, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 259*f**3 - 8*f**2 - 8*f + 14. What is y(1)?\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 810282 to the nearest integer?\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*o + 604 = -97*o + 385*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1, -6608941.\nAnswer: -6608941, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 42 = 3*k - 5*g, -g - 3 = 0. Let l = 21 - k. What is the remainder when 9 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -116\/7 - -283\/14. Calculate the common denominator of -3\/22 and g.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -94856498280 from -71.\nAnswer: 94856498209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 209*i - 14861 + 17787 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 + 2 + -2 + 1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.164437 to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o + 2*o + o**3 - 3 + o - 5*o**2 + o. Let i be v(5). Solve 2*g + 4*x + 6 = 0, 6*g - i*g - 2*x = -22 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x - 25. Suppose 2*p - 476 = -32*p. Let z(a) = a**2 - 8*a - 76. Let j be z(p). Determine h(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/10 + (112\/20 - 8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*b**5 + 134337*b**4 - 30366909*b**3 - 65491977*b**2 - 45000456*b - 10009872 = 0.\nAnswer: -1, -4\/7, 423, 493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lkklkkkk. What is prob of sequence lklk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + h = 4*s + 1, -4*h = -16. Solve -s + 0 = -r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -296 or 26?\nAnswer: -296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52672780.\nAnswer: 2, 5, 2633639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rereveveerrerjee. What is prob of sequence ve?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -1\/6*p**4 + 1\/3*p + 0*p**3 + 1\/3*p**2 - 1\/15*p**5 - 1. Factor o(s).\nAnswer: -(s - 1)*(s + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3) - (-8 + (-171)\/6)*52\/78?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3*t - 30 = 0. Suppose 3*m - 8*m = t. Let u(j) = 8*j + 1. Let g(z) = -z. Let b(r) = m*g(r) - u(r). Determine b(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 16 - -16) + 1 + 10?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8098104 to the power of 1\/2, to the nearest integer?\nAnswer: 2846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0, 55, 5, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + y**2 + 9. Let i(m) = -2*m - 14. Let p be i(-3). Let o(v) = -v**3 - 9*v**2 - 6*v + 16. Let h be o(p). Give n(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 330 (b) -5 (c) -575.341\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 < -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/45 + (-61)\/90. Which is smaller: -2 or k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2108 + 2370.\nAnswer: 4478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - (-20)\/(-25)) + (-153)\/15. Let h be (-9)\/((-45)\/r)*-2. Suppose t - h*t = -3*o - 501, t - 3*o - 173 = 0. Is t a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - -21?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcrorcr. Give prob of sequence cp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of d**5\/20 + 3*d**4\/4 + 5*d**3\/3 + 9*d**2\/2 - 3*d. Let x be (-14)\/(-1)*(-1)\/2. Is v(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22624493 or 22624521?\nAnswer: 22624493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1581 divided by -5394.\nAnswer: -17\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.07 - -702.51.\nAnswer: 696.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 666 = -52*c - 22*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 232254 and 3213?\nAnswer: 1625778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2976720?\nAnswer: 2, 3, 5, 79, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6239 is divided by 241?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9423a3 + 34?\nAnswer: -94236a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*a - 22*a + 42*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 4144142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 8*b**2 + 9*b + 1. Let d be s(9). Let l(t) = t**2 + 10*t + 12. Let p be l(-7). Let c = d - p. Solve -5*k + 0*k = -c for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-45)\/(-2)*(6\/9 - 0). Suppose x + 12 = 9*y. Calculate the remainder when 6 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-600)\/1*485200\/12. What is r rounded to the nearest one million?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (43\/(-43))\/(1\/(-9)). Let s be -1 + (-7)\/(-21)*x. Solve a + 11 = 2*i, -s*a = -2*i - 3*a + 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 + 2*v**4 - v**2 + 19*v + 5*v + v**3 + 2*v**3 - 24*v as w*v**3 + b*v**4 + z*v**2 + l*v + o and give o.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -3. Solve -2*m + 25 = -i*x, -5*x - 25 = -4*m - 4*x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 14) in base 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -43 + 2?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/2*(-440)\/16060)\/((-6)\/4)?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -680\/3? (a) -4\/5 (b) -1\/2 (c) -35\/24 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 2806 and 2702 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 16, 9, 2 in increasing order.\nAnswer: -6, 2, 9, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11778, -4, -2\/3 in descending order.\nAnswer: -0.11778, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*g - 9622, -5*n = -4*g + 5087 + 7741. What is the least common multiple of 11 and g?\nAnswer: 35222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -280204185 take away -0.4?\nAnswer: -280204184.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -110100110101001101010101?\nAnswer: -110100110101001101010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60442.\nAnswer: 2, 47, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 1 + 1)*(-2*v + v - v) - 6*v - 9*v + 5*v)*(-4 - 1 - 1) + 29*v + 244 - 244 to the form w*v + s and give w.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 3:52 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 6 = 3*t, 0 = 5*t + 4*h + 7 + 1. Let q = 397.9 - 398. What is the nearest to t in 2\/3, q, -2\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-7 - (-4 - 3))) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1157295813?\nAnswer: 3, 31, 12444041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -8*1 + 2 - (-1090 + 21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 37*n**2 - 98*n - 155. Determine z(34).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 89.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 10\/8 - 2\/(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1088807644*b**2*g - 154*b**2 - 2563885*b wrt g?\nAnswer: 1088807644*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-60)*18)\/((-3)\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -440*q**3 + 6*q**2 + 2*q + 2. What is the hundreds digit of j(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.23684*1616.\nAnswer: 382.73344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2261 and 665.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -2721535?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in thirteen eighths of a second?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3534.6 times 21\nAnswer: 74226.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1120111002112 - -11?\nAnswer: 1120111002200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 24220 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (4\/3)\/(18\/459) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 8 = -4*q, 6*q = 3*u + 3*q - 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -100a71654 - 5?\nAnswer: -100a71659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9.126853 nanograms?\nAnswer: 0.009126853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 1:13 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -35149 divided by -5?\nAnswer: 35149\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10163909663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/g**(-2)*g))\/(g\/(g**(-4)*g*g)*g)*g**4\/g**(-1\/3))**(5\/2) assuming g is positive.\nAnswer: g**(-25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1055111 to four dps.\nAnswer: 0.1055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -50*h**2 + 15*h - 15. Let a(k) = -k**2 + k - 1. Calculate 15*a(f) - t(f).\nAnswer: 35*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 2*k - 372 - 2850, -2*c + 1283 = 5*k. Suppose 0 = -4*f + 2*b + c, -322 = -2*f - 3*b + 2*b. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 + -682?\nAnswer: -68b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**4\/4 + 55*a**3\/4 - 105*a**2\/2 + 85*a - 50.\nAnswer: -5*(a - 5)*(a - 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -468*x + 25. Let u(s) = -1329*s + 76. Let m(d) = 17*b(d) - 6*u(d). What is m(3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 2:43 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 414.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -434*j**3\/9 + 13448*j**2\/3 - 77314*j\/9 - 364 = 0. Calculate j.\nAnswer: -9\/217, 2, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 114582 and 536302.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11, -53, -79, -83, -59, -1, 97?\n\"Answer: h**3 + 2*h**2 - 55*h + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*i + 4*i - 8*i**2 + 4*i**3 - 2*i - 2*i**3 to g*i + z*i**2 + x + w*i**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 6*u + 6 = 0, 7 = -23*j + 24*j + u. Let n be 12\/20 - 18\/5. Sort -9, j, n.\nAnswer: -9, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 353804888 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*j + 43911 - 44121 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16939273 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/7)\/x**(-2\/15)*(x**(-3))**(-8\/11))**34 assuming x is positive.\nAnswer: x**(107746\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4828745 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s**3 + 6*s**2 - s. Let l(y) = y**3 - y**2 - y. Give i(t) + 6*l(t).\nAnswer: t**3 - 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*h - 3*y, 2*h - 25 = -0*y - 5*y. Differentiate -2 - 2*x + 4*x + h*x wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*p. Suppose 3*u + p = 6. Factor -10 + 0*m - 4*m + 3*m**u - m + 2*m**2.\nAnswer: 5*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/7*((-344)\/(-6) + -1). Let c = v - -249. Let j(u) = -2*u**3 + u**2 - 5*u - 3. What is the remainder when c is divided by j(-2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*4)\/((-1687)\/(-1446)*6\/14)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -6, -27, -68, -135, -234, -371?\nAnswer: -552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2360 - -2423. Calculate the greatest common factor of 756 and c.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 x, and 1 h when three letters picked without replacement from {x: 4, t: 2, u: 7, m: 2, h: 2, c: 2}.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 26. Let i(b) = b**2 + 33*b. Let m(f) = 132*f. Let j(l) = -24*i(l) + 6*m(l). Determine j(q(d)).\nAnswer: -24*d**2 + 1248*d - 16224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6240*x**2 - 12954*x**2 - 1244*x**2 - 3237*x**2.\nAnswer: -23675*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*k**(-3\/8)*k\/k**(3\/7)*(k*k*(k**(-2\/7)\/k)\/k)**(-20\/9) assuming k is positive.\nAnswer: k**(1427\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-162)\/45*1085\/(-1302)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*a + 30*a - 192. Let r(o) = o**2 + 23*o + 5. What is the remainder when 76 is divided by r(a)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**6\/120 + s**5\/15 - s**4\/6 + 2*s**3\/3 - 3*s**2. Let x be g(3). Sort x, -3, 3 in ascending order.\nAnswer: -3, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x + 0*x - 2*x)*(0*x**3 + x**3 + x**3) - 2*x**4 + 0 + 0 + 17*x**4 - 27*x**4 + 25*x**4 in the form u*x + k*x**4 + g + m*x**2 + n*x**3 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25.6 - 25. Let u = o - 0.7. Which is the closest to u? (a) 2 (b) -10 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + n - 23. Let m(x) = -x**2 - 12*x - 20. Let q be m(-10). Let j be q\/(-3*-1*(-3)\/9). Give p(j).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -15\/14, -3, 2, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight thirds of a minute?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(28)\/sqrt(4)*-6 - (sqrt(7) + -2 + -5))**2.\nAnswer: -98*sqrt(7) + 387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - -17 - ((-2072)\/(-448) + -4)?\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3771 + -345. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 4*r**2 + 8*r + 2. Let i be t(-7). Let h = i + -63. Factor 37 + 60*n + 15*n**2 - 17 + 5*n**3 - h*n**3.\nAnswer: -5*(n - 2)*(n + 1)*(5*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 25 = u + 4*u, -4*u - 3*l - 20 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-8)*l**(4\/11))\/(l**(10\/3)\/(l*(l\/(l\/(l\/(l\/((l*l\/l**(-2\/37))\/l)))))\/l)) assuming l is positive.\nAnswer: l**(-12107\/1221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -56*w - 1. Let b be q(-1). Let p = b - 39. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -89731 - -191561. Let y(q) = 1785*q**3 - 3*q**2 - 2*q + 6. Let z be y(4). Suppose 4*w - v = j + z, -15 = -3*w. What is j rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**7\/945 - 7*l**5\/270 - l**4\/18 + 12*l**2 + l. Factor a(m).\nAnswer: 2*m*(m - 3)*(m + 1)*(m + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2017255?\nAnswer: 5, 103, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 8, 4\/3 in ascending order.\nAnswer: -2\/11, 4\/3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3761 + 90307\/24. Find the common denominator of h and 167\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -3 - (-16 + 108 + 15 + -31).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -145 + -11412?\nAnswer: -12001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -176 + 236 - (74 - 8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 18 = 2*f, -5*n + 45 = f + 4*f. Let u be (-56)\/(-9) + (-2)\/f. Suppose 5*s - 73 = -3*a - 27, s - u = a. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -800, -1610, -2418, -3224, -4028, -4830?\n\"Answer: r**2 - 813*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1483662047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 times 0.3\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**2 + 3*f - 3. Let n be z(2). Let x = -6 - n. Put 4, x, -3 in increasing order.\nAnswer: -3, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 307\/420 - 323\/168. Find the common denominator of p and (-4)\/((-44)\/(-3)) + (-669635)\/(-310926).\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -70698175.03 to the nearest 100000.\nAnswer: -70700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20\/49 - 6227\/490. Find the common denominator of (-3)\/20*(-236)\/(-6) and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43 or -143?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*w + 8748 = -277*w - 46*w for w.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1468 divide 6503352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4948 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1003022 - 10?\nAnswer: 1003012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -3. Let u = c - 5.0000004. What is u rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*y = 15, -4*y + 15 = -c + 4*c. What is the third biggest value in c, 4\/5, -7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -3 + 6 - 17) + 7 - (-15 + 15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*f + 1 - 3 = 0, -3*f - 12 = 0. Let y = d - 1. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -106 - -134. Calculate the lowest common multiple of j and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -20, -50, -92, -152, -236?\n\"Answer: -c**3 - 23*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -119*q**2. Let d(r) = -86695*r. Calculate d(m(c)).\nAnswer: 10316705*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -245*u - 12 + 187*u - 116*u to b*u + o and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -44? (a) -3 (b) -4037 (c) -4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2870\/(-4100)*12\/(-14)*-4?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0090553953 to 6 dps.\nAnswer: 0.009055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 + 58. Suppose -3*i - 18 = -2*g + l*g, -2 = g - i. List the prime factors of g\/8*(-504)\/3.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001843777 to four decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 n when three letters picked without replacement from {f: 9, d: 3, n: 2, w: 3}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -117738 - -218138. What is p rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2496 times -1470?\nAnswer: -3669120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3550 is divided by 196.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43848 and 928.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34711467 and 1785?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/11)*z**(-13)\/z assuming z is positive.\nAnswer: z**(-156\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -r**4\/4 + 19*r**3\/3 - 7*r**2 - 39*r + 39. Let p be a(18). Let n = -41 + p. Which is bigger: -6 or n?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63816.\nAnswer: 2, 3, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 471595165 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -5*m + 5*m**2 - 1\/12*m**4 - 1\/30*m**5 + 0 - 1\/6*m**3. Let u(v) be the first derivative of g(v). Determine u(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 3, 593 in increasing order.\nAnswer: 3, 28, 593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.26227 micrometers in centimeters?\nAnswer: 0.002426227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6225701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.472 - -2.072. Is g != 4\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/4 - 965*t\/2 + 669081\/4.\nAnswer: (t - 1477)*(t - 453)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89442, -89441, -89438, -89433?\nAnswer: -89426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1368 + 2456. What is the greatest common factor of 64 and c?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 25*i**2 + i - 5. Let q(u) = 6*u**2 - 1. What is 9*q(y) - 2*v(y)?\nAnswer: 4*y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 471679 - 43865708\/93. Let r = 21391\/394413 + -2\/4241. Let h = r - k. Which is greater: -4 or h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 3*y + 15, 0 = -3*b + 5*y - 3*y - 10. Solve 5*x = -5*d - 45, 3*d - d + 3*x + 22 = b for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -7*w**3\/3 + 5*w + 204. Let r(a) = -4*a**2 + 2*a**2 - 1 + 3*a**2. What is -f(b) - 6*r(b)?\nAnswer: b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215697 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 14624?\nAnswer: 14624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/13 in 1, 2\/7, -0.36, -2, 35?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*y + 7. Suppose y*f + 2*g = 6*g + 560, 3*f - 426 = -3*g. Let t = f + -81. Calculate the highest common divisor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32761 greater than -2587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 + 31161*n**2 - 31161*n**2.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-370)\/60)\/37*(-1)\/1\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6*x**2 + 135370*x - 1218388. Determine j(9).\nAnswer: 428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d - 101. Let l(w) = 4*w - 3*w + 117 - 117. What is s(l(j))?\nAnswer: -2*j - 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6776 and 1098196?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 7*p**2 - 7*p - 6. Let k be (-2)\/(-1)*3*4\/(-12). Let w be b(k). Let s = 69 - w. What are the prime factors of s?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -91 + 93. Suppose 18 = b*k - 16. Let w(v) = -3*v**3 - 11*v. Let m(q) = -q + q**3 + 4*q + q. What is k*m(h) + 6*w(h)?\nAnswer: -h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*p, k - 1191 = 7*p - 4*p. Let x = k - 325. What are the prime factors of x?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = -11 + 1. Let x be 1 - 1*-1*2. Which is smaller: t or x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**4\/2 - 21*m**3\/2 - 36*m**2 - 34*m = 0. What is m?\nAnswer: -17, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4794 rounded to 2 dps?\nAnswer: -3.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 0 - (115 + -110)) + 15?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-25186)\/(-771))\/((-14)\/(-12))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -9*o - 52. Calculate x(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + ((1 + sqrt(76))*3 - sqrt(76)) + 3*sqrt(76) + 3)**2.\nAnswer: 120*sqrt(19) + 1932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 6529*t**2 + t - 6. Let q(d) = 6531*d**2 + d - 5. What is 4*h(n) - 5*q(n)?\nAnswer: -6539*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2))**(-13)*(a*a\/(a*(a\/(a*a*a\/a**(-2)*a))\/a*a*a))**(-4\/7) assuming a is positive.\nAnswer: a**(162\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47651856.\nAnswer: 2, 3, 7, 37, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 305552 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 6 = -2*s. Suppose 3*l = -3*w + s, w + 3 = 5*w - l. Let a = -84 + 89. What is the highest common factor of a and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/8 of a millisecond in microseconds?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163 a factor of 78796739?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10663356 and 0.2.\nAnswer: -2132671.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 16*y**2 + 4*y - 12. Suppose 3*t - 5 + 50 = 0. Is 23 a factor of d(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 30*h**2 - 57*h + 32. Let j be w(28). Solve 10*m + j = 44 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 804, 743, 682, 621, 560?\n\"Answer: -61*v + 865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 40\/(-10) + 13297*2\/(-18). Let g = c + 1484. What is the common denominator of 7\/12 and g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - f - 4 = 2*f, 4*f = 4*r. Let d(k) = -k**2 - 4*k + 5. Suppose -5*y + 0*y - 25 = 0. Let s be d(y). Solve -h + r = -s*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 6 = -3*z. Let k(g) be the third derivative of -g**5\/60 - g**4\/4 - g**3\/2 - 54*g**2. Let s be k(z). Solve -1 = s*x - 11 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 p, and 1 i when three letters picked without replacement from {i: 2, u: 1, y: 2, p: 6, k: 4}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 6\/4)\/((-8)\/64). Suppose 0 = d*g - 631 - 853. What is the remainder when g is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2015*i**5 - i**4 + 9*i**2 - 1255139*i.\nAnswer: 40300*i**3 - 12*i**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 926 times -0.95?\nAnswer: -879.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6107518 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 51556, 4 in increasing order.\nAnswer: 4, 19, 51556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1067 rounded to the nearest 10?\nAnswer: -1070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/(-20))\/((-3)\/36). Suppose y*l = -4*h + 2*h + 17, 2*h - l - 5 = 0. What is the highest common factor of 1 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -569\/1560 - 2\/195. Let v = -4375 - -4377. Suppose 4*o = -5*h - 4, -6*o = -o - 5*h - 40. Which is the nearest to v? (a) -1\/3 (b) o (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/(-8))\/((-1)\/4). Let h be (-12)\/x*21\/2. Suppose 2*g - 4*i - 22 = 0, -g + 3*i + 0 = -h. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i - 6*i + 6*i)*(2 + 0 + 0) - 12 + 55 + 11 + i as z + w*i and give z.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/3 + (-2 - -1). Let z = -1.052 + 0.002. Let v = z + 0.05. What is the biggest value in v, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.19 and 242.\nAnswer: -529.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 14171 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-9 - (4 + -8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 12143 - 5*k - 12142 + 4*k. Let x(h) = -2*h**3 - 3*h + 5. Determine 5*s(g) - x(g).\nAnswer: 2*g**3 + 5*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 4*t - 5*l, -5*t - l + 43 = -50. Let b(i) = 5*i - 45. Let d(z) = -24*z + 224. Let w(a) = 11*b(a) + 2*d(a). What is the tens digit of w(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*l + 7*l + 23 + 0*l)*(-3*l**3 - l**3 + l**3) as m*l**2 + y*l + r + s*l**3 + p*l**4 and give s.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41538364 is divided by 3167.\nAnswer: 3159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145729569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -28*q - 39. Give j(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -11*m**6\/30 + 5*m**4\/24 + m**3\/3 - 101*m**2. What is the second derivative of c(t) wrt t?\nAnswer: -264*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) - (sqrt(11) + 3*(sqrt(11) + 0)) - (5*sqrt(99))\/sqrt(9) - (3 + (sqrt(99)*3*1)**2).\nAnswer: -894 - 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 118 + 428 = 4*g, 4*g + 3*o = 314. What is the greatest common factor of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 2*m, 0*m + 4*a - 12 = m. Find the third derivative of -4*d**m + 3*d**4 - 10*d**4 - 7*d**2 wrt d.\nAnswer: -264*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of q*s**2 - 35*q*s - 391*s**2 + 2 wrt q?\nAnswer: s**2 - 35*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aagprgrpamoa. Give prob of picking 1 r, 1 g, 1 a, and 1 o.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-12))\/(2\/24) + 3. Let f be -5 + (-65)\/(-15) + g\/(-6). Let m = 5.9 - 1.9. Which is the second smallest value? (a) m (b) 1 (c) 2 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-50)\/(-6) - 4\/(-6). Suppose 0 = 3*g - 4*i + 301, i + 1 = -2*g - 207. Let n = g - -104. Calculate the highest common factor of n and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w. Let m(k) = 19 - 36 + 1013*k - 281*k + 17. Calculate d(m(j)).\nAnswer: -1464*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -59?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/((-22308)\/(-65))*(-12)\/(-15).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f*t**3 - 5*f*t + 25*f + 6*t**4 - t**3 wrt t?\nAnswer: -18*f*t + 72*t**2 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -867 + 872. Which is the biggest value? (a) l (b) -0.4 (c) 35\/3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ilh when three letters picked without replacement from {c: 2, h: 1, l: 11, q: 1, i: 1}.\nAnswer: 11\/3360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 2:23 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 45.2, 2, 5, -0.7, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4928)\/48)\/77*6\/(-2)*-1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*x. Let t = -5 + x. What is the units digit of 7 + 0 - (t - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/(-32) + 7\/2. Suppose 0 = -f - 4*f + j*a + 756, 4*f + 3*a = 621. Let y(x) = 82*x + 106*x - f*x. Let h(m) = -2*m. What is h(y(i))?\nAnswer: -70*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 101 = d, 2137*b - 2133*b + 7*d = 112 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(7 - 1 - 3)*(-6*i + 6*i + 5*i).\nAnswer: 30*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - z**2 + 2*z - 1. Let v be q(1). Let l = -1113 - -1113.1. Which is the biggest value? (a) 1\/5 (b) l (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109475 = -24*t + 502331. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 5) + 20 - (2 + 11)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2117*o**2 - 521*o**2 - 518*o**2 - 523*o**2 + 42*o**3 - 555*o**2.\nAnswer: 42*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 10, 13, -3, -2 in descending order.\nAnswer: 13, 10, -2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -1)\/((2\/4)\/(27\/(-108))). Suppose 0*y - 3*y + 24 = 0. Suppose -2*r = 16 - 34. Solve n = y*p - r*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2344\/102 - (-20)\/1020?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3 = 9. Suppose 0 = -40*u + 71 + 49. Sort -14, -3, u, w.\nAnswer: -14, -3, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -10.866. Let u = 0.434 + h. Let i = -11.6 - -12. What is the biggest value in i, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 42 + 16 + 2*k - 31 + 15. What is i(-25)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -265*t**2. Let j(y) = 2*y**2 + 6*y + 6. Let x(m) = -6*m**2 - 16*m - 16. Let z(u) = 8*j(u) + 3*x(u). Determine v(z(r)).\nAnswer: -1060*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11773, -23691, -35619, -47557, -59505, -71463?\nAnswer: -83431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87 (base 12) to base 14.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + -178415?\nAnswer: -17841b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1885 or 1884?\nAnswer: 1885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f - 2*f - 2*f**3 + ((-f**2 + f**2 - 2*f**2)*((-48 - 10 + 8)*(2 - 1 - 2) - 1 - 2 + 0) + 0*f**2 + 0*f**2 + 2*f**2)*(4*f - 5*f + 2*f)*(6 - 3 + 0).\nAnswer: -278*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33919 and 856?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2556\/(-710) - 68\/(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**4\/4 + 9*t**3 + 7*t**2. Let o be n(11). What is the common denominator of (0 - 2631\/(-180)) + o\/(-90) and 39\/94?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*2\/30*(-60)\/(-60))\/(15\/(-10))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -170?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-35)*(-11186)\/(-14382)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/10)*m**(-2\/15)*(((m*m\/(m**(-1)\/m))\/m)\/m)**(-2\/27) assuming m is positive.\nAnswer: m**(-49\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4593*v = 4538*v + 275 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1147 divide 30586426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.82 times 3?\nAnswer: -164.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 1 - 2)*(4*c - 2*c + 4 - 2).\nAnswer: 14*c + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 3934?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)*k**6*k)\/(k\/(k\/k**2))**(1\/7) assuming k is positive.\nAnswer: k**(33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2145 (base 9) to base 7.\nAnswer: -4415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/1617*-49*6\/28.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + (-54)\/12)*(-276)\/(-207)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.5 - 0.5. Let t be 175\/(-105) - ((-20)\/(-6) - 2). Sort l, t, -2\/15.\nAnswer: t, -2\/15, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.6 - -1.3. Which is the third smallest value? (a) -1\/3 (b) 0.4 (c) -4 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49659689 + 49651684.1921. Let k = 7996.9 + q. Let w = k - -7.9. What is w rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 16?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -169 + 174. What is the tens digit of (-22 - (x + -1))*(-2 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 + -17. Suppose -3*k + b = -d, -k + 3*k + 4*d + 2 = 0. Suppose 4*j - 4*p = 8*j - 272, k*p + 236 = 3*j. Does 18 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**2 + 7*x + 4. Let q be l(-4). Let r = 25 - q. Are r and 7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 1 + 3 = h, 3*i = 3. Suppose 4*l - 5*t = -16, h*t - 20 = 5*l - 2*t. Let p = -19\/23 - -41\/161. Which is the biggest value? (a) l (b) -0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a microgram in nanograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 - 0.7. Let t = -0.3 - -0.2. Let r = 553\/2529 + 1\/281. What is the fourth smallest value in t, m, 3\/2, r?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 174276 + -181?\nAnswer: 174085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.5 (c) -2\/9 (d) 0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55497708 by -4221.\nAnswer: -13148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 8:50 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12f9 (base 16) in base 12?\nAnswer: 2989","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.018 and 7.89?\nAnswer: 7.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + y - 258*y**2 + 361*y**2 - 9.\nAnswer: 103*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/8, 13, 2, 5, 46\/5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**3*q**2 - 33*f**3*q - 193*f**3 - 2*f**2*q**2 - 139*f**2*q + 2*f*q**2 wrt f.\nAnswer: 12*q**2 - 198*q - 1158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 63a0 + -5?\nAnswer: 6397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j + 4. Let f be n(0). Let l be (6\/f)\/((-15)\/(-20)). Suppose -4*b + l*i - 525171 + 65165 = 0, -9 = -3*i. What is b rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/252*72*(-66)\/(-48)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -5851.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 22\/53, -5\/241, -1\/5 in descending order.\nAnswer: 3\/2, 22\/53, -5\/241, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.8 + -12.2. Let o = 39 + s. Let a = o + -24.00018. Round a to 5 dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -19 (b) -2\/21 (c) 3\/4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 487477.27*-3.\nAnswer: -1462431.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3001820 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*a**2\/7 + 4236*a\/7.\nAnswer: -6*a*(a - 706)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 4*g + 21 = 0, 4 = -g + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {w: 4, n: 1, j: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71 - 47. Let j = k + -22. Let z be (-17)\/j + 4 + -1. Is z < 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 4*p = -i + 412, 1991 = 5*i - 3*p. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 71*d - 11900. Give h(-149).\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/562104 and -115\/5994?\nAnswer: 5058936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -3. Let i = 8.3 - q. Let d = 0.07 - -0.13. Which is the closest to d? (a) i (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0 + 2 = 0, -2*t + 5*r = -243. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddww when four letters picked without replacement from hwwawwdcwddwda.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k + 1. Let i(o) = 4*o. Let t(n) = -4*i(n) + 3*j(n). Let g(x) = 15*x - 7. Let l = 10 - 6. Let a(q) = l*g(q) + 9*t(q). Calculate a(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 558478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**3 + 6*t**3 + 6*t**3)*(0*t**2 + t**2 + t**2) + (t**4 + 0*t**3 + 0*t**3)*(0*t - 3*t + t).\nAnswer: 12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - 1\/(-5) - 0. Let l = -43\/35 - v. Let q = -13 + 8. Put q, 0.1, l in increasing order.\nAnswer: q, l, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111110111101010000110 + -1?\nAnswer: -11111110111101010000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 771210 and 41800?\nAnswer: 15424200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214*c = -176*c - 491*c + 16104603. What are the prime factors of c?\nAnswer: 73, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - h. Suppose 4*t = 5 - 13. Let l(y) = y**3 - 4*y**2 - 3*y. Let m(x) = t*l(x) + 6*c(x). Find the third derivative of m(r) wrt r.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -9 (b) -0.6 (c) 2.15 (d) 35 (e) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((-7)\/(-8))\/((-14)\/28)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -83*z**6\/120 - z**4\/24 + 173*z**3\/6 + 859*z**2. Find the first derivative of l(r) wrt r.\nAnswer: -249*r**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1352*t - 674*t - 676*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 2*w - 4*w. Let n be w\/4 - 1\/4. Suppose 0 = n*s - 3*r + r + 13622, 0 = 2*s - 4*r + 9084. What is s rounded to the nearest 100?\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l - 18 = 2*d, 6 = 4*d + 6*l - 9*l for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + (-22)\/8)*(37 - 33). Put 5, -2, v in ascending order.\nAnswer: v, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + v**2 + v. Let h(j) = 91*j**4 - 5*j**3 - 5*j**2 - 5*j + 37. Let s(u) = -h(u) - 5*w(u). Differentiate s(x) with respect to x.\nAnswer: -364*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 7*a = -8, 5*v + 37 = -3*a. Let l be 0\/(6\/(v + 8)). Put 39, l, -5 in increasing order.\nAnswer: -5, l, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 + 5*v - 1. Let p be a(-11). Let g = p + -129. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00329 to 4 decimal places.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 at most as big as 8980?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaee when four letters picked without replacement from {b: 3, e: 2, a: 11, d: 3}?\nAnswer: 55\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 5*y - 27, -3 = y + 2*y. Let x(q) = q**2 - 14*q - q**3 + 0*q**3 + 35*q + j - 24*q. Does 2 divide x(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v - 19. Let r(m) = 6*m - 20. Let u(i) = -5*r(i) + 6*w(i). Let y be u(3). Suppose -3*h = -l - 296, -h + 488 = y*h - 3*l. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2 + 11. Suppose 3*w - 3*p = 171, -17 = -b*w - 5*p + 122. Is w a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 43 + -13 - (-2 - -9). Solve -o + 5 = -18*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4537 and 73639.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 192 (b) 0.4 (c) 15 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0312 rounded to three decimal places?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 606 divide 881730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29925.\nAnswer: 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, d: 2}. Give prob of picking 1 d and 2 b.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -6, 2\/15, 2\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.71 + -4.81. What is the closest to q in 0.2, -1\/49, 2\/7, -2\/3?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -2\/27, -5, -2\/9, 18, -3\/4, -11?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -379.57 and -39.\nAnswer: -418.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*f + 5*f. Let z = f - -9. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*d**3\/15 - 136*d**2\/15 + 46*d\/15 + 2116\/5.\nAnswer: -2*(d - 6)*(2*d + 23)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mokapaf. Give prob of picking 1 f and 1 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2910 plus 0.13275162?\nAnswer: -2909.86724838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*f - 234 = -n, 7*n + 55*f = 59*f - 72 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -6. Let s = -3 - h. Let g = 1 + 8. Calculate the least common multiple of s and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-4))\/(5\/(-30)). Let o be (-7)\/m + (-2)\/(-3). Suppose 43 = o*w - 5*i, -5*w - 2*i = i - 49. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65 + 140. Let s = y - 83. Let x be -2 + ((-11)\/(-4) - 0). What is the smallest value in -0.3, s, x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 8*u**2 + 2*u + 9. Let s be g(-8). Let n = 6 + s. Let c be -3*(2 + n - 2). Does c = 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -380071391489+2\nAnswer: -380071391487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 9*p - 9. List the prime factors of z(9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91 (base 15) to base 14\nAnswer: -9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -3 (c) -187\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*b - 43*b + 8. Suppose -5*p + 14 = -3*f - 5, 4*p - 2 = -b*f. Solve -p*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-20)*5*3\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 + 5*d + 2. Give b(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 35 - -12b9?\nAnswer: 12ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -143, -325, -591, -947, -1399, -1953, -2615?\nAnswer: -3391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*w**6 + 5988*w**4 - 2*w**3 - 1702*w**2 - 2*w wrt w?\nAnswer: -240*w**3 + 143712*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = 2*a + 3*a - 4*k, -a + 7 = 5*k. List the prime factors of (42\/a)\/(-7)*1164.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {q: 8, k: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-29)\/(-2) - (-3 - (-21)\/14). Suppose -r*i + 233217 = -7*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = -7*k + 2782. What are the prime factors of k?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m + 8*m + 16*m.\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a - 6. Let y(z) = -3*z + 12. Let s(i) = -6*f(i) - 3*y(i). Let d(p) be the second derivative of 5*p**4\/12 + 19*p. What is d(s(u))?\nAnswer: 45*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 757 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 926753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -13683 greater than -13693?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*x + 16. Suppose 2*y + x = 4*y. Calculate the remainder when y is divided by ((-3)\/(-4))\/((-2)\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 942149060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4039.114 millimeters to meters.\nAnswer: 4.039114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 574, 1147, 1722, 2299, 2878?\n\"Answer: l**2 + 570*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**5\/9 - 10*m**4\/9 - 14*m**3\/3 - 46*m**2\/9 - 16*m\/9.\nAnswer: 2*m*(m - 8)*(m + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20706 divided by -27.\nAnswer: 6902\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.2049 to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.248 + -3?\nAnswer: -3.248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-2\/9)*x)**16)**38 assuming x is positive.\nAnswer: x**(9728\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.07, 2\/11, 0.5, 0.2, 1, -22?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 250365038 and 2926?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51*m**2 + 29*m**5 - 51*m**2 + 3*m**5 + 32*m wrt m.\nAnswer: 640*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -19. Find the second derivative of -2*s + 14*s**3 - h*s**3 - 3*s**3 wrt s.\nAnswer: 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 - (8 - 3)) + 9. Sort 4, -3, -24, h in increasing order.\nAnswer: -24, -3, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.027 - -0.527. Let u = 116\/3 + -39. What is the second biggest value in -2\/9, u, f?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5\/57 - -79\/399. Let f(j) = j**2 - 4*j + 1. Let p be f(5). Suppose -y - 2 = k, y - 2*k = p*y + 7. Is y at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.66 * 32.\nAnswer: -181.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 678? (a) 2\/13 (b) -75 (c) 1\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 + 48*v - 2*v**2 - 103 - v**2 + v**2.\nAnswer: -4*v**2 + 48*v - 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**4\/5 + 10*o**3 - 96*o**2\/5 = 0. Calculate o.\nAnswer: 0, 2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 363367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 12*-6722\nAnswer: -80664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 432.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 1. Let q(w) be the third derivative of -1\/60*w**5 + 1\/3*w**3 + 0*w + 5\/24*w**4 - 2*w**2 + 0. Determine q(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 1:19 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-3))\/((-2)\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9.801205 years?\nAnswer: 0.9801205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13113862 and 838.\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1517\/15 - 101. Suppose 4*f = -0*i - 2*i + 24, -5*f + 35 = 5*i. Suppose -w = 4*r - 14 - f, 4*w + 2*r - 6 = 0. Is z at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1476, 1477, 1478, 1479, 1480, 1481?\nAnswer: 1482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*c = -57, y + 2*c - 63 = 6*c. Solve 6 = -y*r + 53*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*l**4 + 2*l**3 - 762*l + 13571?\nAnswer: 16*l**3 + 6*l**2 - 762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millennium in months?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 120617041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(240)*3)\/sqrt(10))\/(6*(sqrt(144)\/sqrt(6))\/sqrt(2)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*m**3 - 59*m**3 + 3*m - 3*m + (0*m - m**2 + 0*m)*(13 + 2*m - 16 - 100*m) to r + h*m**2 + x*m**3 + a*m and give x.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/11 - 52780\/8294?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*f**2 - 2*f + 2*f**2 + 10*f**2 + 2*f**3 - 94 + 7*f**2 - f**4 - 24*f**2 to the form p + c*f**2 + u*f**3 + z*f**4 + m*f and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7476, 14954, 22432?\nAnswer: 29910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 0.5 (c) 0.11 (d) 2\/9 (e) 0.2 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36646332 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.125 * 0.1.\nAnswer: -0.0125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-13)*m*m**(6\/7)*m)**(29\/2))**(-17))**(-12) assuming m is positive.\nAnswer: m**(-210018\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**3\/3 + 580*o**2\/3 - 6866*o\/3 - 31024 = 0. What is o?\nAnswer: -8, 21, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-58)\/(-203))\/(18\/(-14)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/18 - 164\/(-9). Suppose -m = -5*n + 7. Let h(v) be the second derivative of v**3\/3 - 2*v**2 - v. What is h(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-12)*126\/(-15)*6\/7?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + (6 - 2))*-1. Suppose 0 = -q*z - 2*z + g + 19, -2*z = 4*g - 4. Suppose 4*n + 2*y - 10 = 0, -n + 2*y - 10 = 5*y. Solve 0 = n*s - 2 - z for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40943 is divided by 79?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51820 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 35 + 1 - (1 - 4). Let h = 43 - u. Solve -3*j + 5*r + 35 = -0*j, h*r = 4*j - 32 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 3166.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -350*u - 327. Is 29 a factor of b(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7428 + -7429. Put m, 2, -19, -23 in descending order.\nAnswer: 2, m, -19, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1646724 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 6*v**2 - 4*v - 4. Let u be c(-6). Suppose -4*o = 5*w - 125, o - 32 = -4*w + 2*w. Let i = o - u. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10392, 20790, 31190, 41592, 51996, 62402?\n\"Answer: q**2 + 10395*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122, -476, -1062, -1880?\nAnswer: -2930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-4)\/l*l)\/(l\/(l*l**(-5\/4))))\/(l\/(l\/(l**(-1)\/l*l)))**(-45))**39 assuming l is positive.\nAnswer: l**(-7683\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70219*q**2 - 93 - 89 + 182.\nAnswer: -70219*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -3*a**3 - 5889*a**2 - 11769*a - 5883 = 0?\nAnswer: -1961, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -6\/445265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**3 - 423*m - 420*m - 8 + 861*m - 5*m**2. List the prime factors of b(6).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 15633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + t - 21 = -0*i, -3*i + 2*t + 21 = 0 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kqkqkkqqqqqqqq. What is prob of sequence qkkk?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2413 - 1422223411?\nAnswer: -1422220443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/2 (b) -2 (c) 1\/10 (d) -0.9 (e) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10111 + 120201?\nAnswer: 110020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 340608 and 192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 11:05 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*sqrt(112).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17303482 and 438?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 133580 divided by 2\nAnswer: 66790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4947 divided by -97\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3767799 is divided by 256?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -24*l + 1. Let m be k(-2). Suppose -19*h + 91 = -6*h. Calculate the greatest common factor of m and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1766 - 1764. Find g such that -1\/2 + 1\/2*g**t + 2*g**3 - 2*g = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 175382014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -0.2 (b) -6\/7 (c) -2.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2192 a factor of 1513225280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 189462 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 685 or 3429\/5?\nAnswer: 3429\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.6 - -1.5. Which is the closest to x? (a) -5 (b) -0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*l + 1175 = -18*l. Let o = -232 + l. Let t(c) = -3*c - 3. Let u be t(-7). Solve -5*j - u = -o for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccs when three letters picked without replacement from ccs.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-6)\/45*3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80746 is divided by 8445.\nAnswer: 4741","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44\/21 - 131\/21. Sort -1\/9, o, 2, -3 in decreasing order.\nAnswer: 2, -1\/9, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19157 (base 11) to base 5\nAnswer: -1324203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6427.928l?\nAnswer: 6427928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 c when two letters picked without replacement from cwcuwwncawwncuw?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 take away 4988171440?\nAnswer: -4988171439.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.77 + -0.0733?\nAnswer: -0.8433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t + 65. What is the units digit of g(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -909 (b) -9\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 7*v + v)*(2*v - v - 3*v) + 3*v**2 - v**2 - 3*v**2.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 11 + 0 = -2*l, 4*u = -2*l + 14. Let h(n) = -n - 1. Let g be h(l). What is the third derivative of -g*x**2 + 0*x**4 + 0*x**4 - x**6 wrt x?\nAnswer: -120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 0*n**2 - 2*n - 3*n**2 - n**2 + 7*n**2 - 2*n**2 - 6. Suppose -m + 10 = 4*m. Let x(t) = 2*t**2 - 3*t + 3. Let j be x(m). Give l(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) -0.4 (b) 4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4) - (sqrt(4) - 1*sqrt(196)))\/(sqrt(128) + sqrt(128) + -1*sqrt(128)) - (-5 + -5 + sqrt(8)\/sqrt(4) + 4))*4.\nAnswer: -sqrt(2)\/2 + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8118*p**4 - 24273*p wrt p?\nAnswer: 97416*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -304066.\nAnswer: -304063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2 + 1) - -4. Suppose 7*h + o*g = 2*h, 0 = -3*g - 15. Suppose 0 = 5*m + h. Is 3\/7 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1664 and 101.1?\nAnswer: -16.82304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 28*i - 38*i. What is the closest to i in 0.12, 2\/11, -0.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7970.232 millimeters in kilometers?\nAnswer: 0.007970232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 32?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 47441.77ml in litres?\nAnswer: 47.44177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 4*h - 2*h)*(11*h**4 - 326*h**3 + 7*h + 326*h**3) + (4*h**5 - 105*h**2 + 180*h**2 - 2*h**5)*(-3 - 1 + 2).\nAnswer: -26*h**5 - 164*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -10)*-3*1. Let v = -17 + 26. Calculate the highest common divisor of v and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = 6*c + 2175. Let t = -113 - c. What is the remainder when 94 is divided by t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29858 + -16109. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d**3 - d**2 + d. Let q = 6 + 0. Suppose 2*a + q = -4. Let n(x) = -7*x**3 + 2*x**2 - 2*x. Let r(j) = a*f(j) - 3*n(j). What is r(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-5)\/h*h**(3\/7)*h\/(h*h*h*h*(h**(-9)\/h)\/h)*h**(-2\/9)\/h assuming h is positive.\nAnswer: h**(76\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 149.3789 + -0.1789. What is h rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**8)\/n)\/(n*n*n*n**2\/n*n))**(-2\/11)\/((n**(-1)*n)\/n**(-1\/2)*n**(1\/9)*n\/(n\/n**3)*n) assuming n is positive.\nAnswer: n**(-1021\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 136368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 431?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.4 (b) -24210 (c) -7.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r**3 - 21*r**3 - 128*r**2 + 129*r**2)*(2*r + 0*r + 0*r).\nAnswer: -30*r**4 + 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1218 is divided by 595?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 16 = 2*p, -3*p - n = 2*n - 33. Let s = 22 - p. Calculate the remainder when s is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6242527*f**3 + 6242528*f**3 + 45*f - 45*f.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.226078 weeks in microseconds?\nAnswer: 3160731974400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6606 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 352800?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 9*p + 2. Let d be o(-9). Let k be (-45)\/(-2) - (-5)\/(-10). What is the greatest common divisor of k and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*x - 2. Suppose 0 = -4*h - x*o + 25, 5*o = -3*h - 11 + 38. Put 1, 0, h in decreasing order.\nAnswer: h, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -90*m**3 + 3877*m**2 - 304*m + 69. Calculate o(43).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5 + 6*((sqrt(1539)*-2 - sqrt(1539)) + sqrt(1539)))*-4 + 4)*-4 + -2)**2*1.\nAnswer: -214272*sqrt(19) + 56737540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1877016 and -8?\nAnswer: 15016128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ko when two letters picked without replacement from {p: 3, s: 2, o: 2, k: 1, q: 2, h: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4917677\/8 + 614710. Factor 15\/4*x - 6 + 21\/8*x**2 - d*x**3.\nAnswer: -3*(x - 8)*(x - 1)*(x + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2297\/3*g**3 - 24 + 196*g - 1742\/3*g**2 + 289\/3*g**5 - 1360\/3*g**4 = 0. What is g?\nAnswer: 6\/17, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-3)*(162\/(-15))\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (k - 4*k + 5*k)*(-135 + 135 - 200*k**2) as d*k**3 + t*k**2 + c*k + u and give d.\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 3 = -5*b. Let v(p) = 0 - 9*p - b - 43*p. Calculate the remainder when v(-1) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x + 5*z = 1090, -539 = -x - z. Suppose 7*d - 8*d = w - 105, 0 = -5*w + 5*d + x. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(3)*2 + sqrt(3) - (sqrt(15)\/sqrt(5) + 3).\nAnswer: -3 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6318)\/1755)\/(((-6)\/15)\/2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**3 - s**3 - 2*s**3 + 2*s**3 - s - 1 to the form x*s + k*s**3 + m + o*s**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 17311?\nAnswer: 138488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2169953 to the nearest integer?\nAnswer: 1473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45226942 is divided by 1008?\nAnswer: 1006","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -166 + 234. Let i = 136 - p. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 6*s**2 - 2*s - 10. Let u be c(-6). Suppose 4*f - 480 = -0*w - 4*w, -4*f - u*w = -490. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 332 (b) -4 (c) 50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40976849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f = 179 + 114 - 72 + 373 for f.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107932?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/7 (b) 4 (c) 7 (d) -0.06 (e) -0.11 (f) -51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(-1\/5)\/k)**(-10))**(2\/29))**26)**(-15\/8) assuming k is positive.\nAnswer: k**(-1170\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*h + 12727, -4*r + 4*h = 9587 + 7389. Suppose 5*n + 5*f = -1 - 14, -4*n - 2*f - 8 = 0. Is r\/(-14) - n\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/5, 46, -1, 32?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c = 12*c + 100. Suppose 2*k - c = 26. What is the greatest common divisor of 6 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, i: 4, h: 2, y: 7}. What is prob of sequence hl?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 4832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 461754 - 126910 = 0. Is q a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**2*y**2 - 2*k**2*z - 598*k*y**2*z + 29767*k*y*z + 3*y**2*z + y**2 + 2*y wrt y?\nAnswer: 4*k**2 - 1196*k*z + 6*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 67*u**2 + 151*u + 6. Let d(x) = 400*x**2 + 905*x + 35. Let f(q) = 6*d(q) - 35*w(q). Find the second derivative of f(s) wrt s.\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -262, -850, -1760, -2992, -4546?\n\"Answer: -161*s**2 - 105*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 204*n - 224*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/63*15*(-9)\/12\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27340*s**4 + 26*s**3 - 5329989*s - 2 wrt s.\nAnswer: 328080*s**2 + 156*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dl when two letters picked without replacement from ofedlob.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 4*s**2 - 77*s + 104. Let c be l(12). Which is smaller: c or 2\/103?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-86)\/(-129))\/(1\/(-18)))\/(12\/(-20)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 5*d + 2*l, 3*l + 61 = -5*d + 75 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4394.098 - 2849.025.\nAnswer: -7243.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -97, 4, 0.069, 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 2*p - 113. Suppose -2*h + 0*h = 4*g - 174, h + g = p. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 427*z**3 + 968*z - 968*z + 2*z**3 + 0*z**3 - 3*z**3 + 3*z**2 - 3*z**2 + z**3 + (2*z + z - 4*z)*(-6*z**2 + 2*z**2 + 0*z**2).\nAnswer: 431*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**3 + 2*z**2 - 3*z. Let a be j(2). Let b = -1 + 7. Solve d + b = h - 1, 4*h = 2*d + a for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133837492 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -30805472?\nAnswer: -30805471.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6)\/(q\/((q\/q**(-4))\/q)))\/((((q\/q**(1\/9))\/q)\/q)\/q*(q**(-2\/9)*q)\/q) assuming q is positive.\nAnswer: q**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -7*h - 5. Let p(z) = 10*z + 7. Give -5*p(m) - 7*u(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -84*x**3 - 87*x**2 - 173*x + 18. Determine f(-2).\nAnswer: 688","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 95.82713 - -0.08587. Let g = x + -96. Round g to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -14*j - 56. Let a(t) = 5*t + 19. Let i(c) = -11*a(c) - 4*h(c). Let v be i(-15). What are the prime factors of v - 4 - (-50 + 5)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27832 - -45247. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1*5\/(-25)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p + 11. Let h be t(3). What is the closest to 0.1 in 0.07, 5, h?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pe when two letters picked without replacement from {h: 1, v: 3, p: 1, e: 1, r: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 6*c**2 + c + 2. Let n be 54\/3*(-2)\/(-2). Suppose 3*v + 0*v + 5*o = -n, -o = 3*v + 18. What is h(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1532 divided by -4\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 9546*b**2 - 2*b - 106. Let d(c) = -c. Determine d(i(j)).\nAnswer: -9546*j**2 + 2*j + 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.7? (a) -0.1 (b) 0.5 (c) -1090 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(26)\/(-3*(sqrt(2) + sqrt(6)\/sqrt(3))))**2 + (sqrt(312) - (1*sqrt(312) - sqrt(312)))\/sqrt(6) + sqrt(52) + 3)*-6.\nAnswer: -28*sqrt(13) - 265\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 23 - 9. Suppose 170 = 15*i - 193 - 177. Calculate the least common multiple of n and i.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 147859941.\nAnswer: -147859945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5\/4 (b) -4 (c) -75 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.701957 years to decades.\nAnswer: 0.4701957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -267+62.2\nAnswer: -204.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5414097077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/4 (b) 2 (c) -41 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -12*t + 793, 0 = -10*k - 5*t + 25377 - 25107 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16138177 + 16128912 = -109*f for f.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.4*5.28975.\nAnswer: -23.2749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/(-2) - 48\/12)*-2. Suppose -4*c = -7*f + h*f - 316412, 79106 = -f + 2*c. What is f rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 2*h, -3*g - h = 2*h - 3. Let r be (-10)\/(-15) + (-26)\/(-6). Suppose r*d - 13 = -3. What is the remainder when d is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 5 (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - ((-93)\/155 - (-3)\/(180\/(-404))).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262636 divided by -2794?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.1, -1, 159, -2, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -6*w**2 + 127*w + 727. What is the remainder when 462 is divided by v(25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33350724 divided by -8337681?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2175*-28.\nAnswer: 6.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 16307?\nAnswer: 14\/16307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -6*v + 5. What is i(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -129884 + 491043. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1056960 rounded to the nearest 1000?\nAnswer: 1057000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 191.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.83 to 0 dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 8, f: 4, l: 4}. Give prob of picking 1 f and 3 w.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 7 = 7*b. Let q(u) = 22*u**2 + u + 51. Is q(b) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -159 - -162. Suppose 0 = -2*a + r*g + 725, -7*a - 3*g + 1441 = -3*a. Calculate the highest common divisor of a and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -1.54 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235839022.\nAnswer: 2, 83, 1420717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - v - 3. Calculate m(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4893*c**4 + 3550*c**2 - 3550*c**2 + 0*c**4 + 2*c**4 - 3*c**4 + (-4*c**2 - 3*c**2 + 5*c**2)*(0*c**2 - 2*c**2 + 0*c**2) + 2*c**4 - 4*c**2 + 4*c**2.\nAnswer: 4898*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 199743749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 + (-6 - -10)\/(4\/(-2)) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.17 (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 - 61. Let c be ((-8)\/12 + q)*-6. Solve -c*k = -5*z + 3 - 10, 16 = 5*k + z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 336 and 7548548.\nAnswer: 90582576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -48, -48, -36, -6, 48, 132, 252, 414?\n\"Answer: k**3 - 7*k - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5298 = -6*y. Let i = y - 968. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4022 is divided by 804?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.01 - -340.01. Let x = -339 + n. Which is the second biggest value? (a) -12 (b) x (c) 0.2 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167741777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2080*p - p**2 - 4156*p + 293881*p**3 + 2076*p.\nAnswer: 293881*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.6 times 74.7?\nAnswer: -642.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b - 84 = 12*b. Suppose -b*j + 2550 = -4*j. Calculate the greatest common factor of 30 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 493\nAnswer: -493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/8576 and 67\/440.\nAnswer: 471680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -406, 11, 4, 5, 32 in increasing order.\nAnswer: -406, 4, 5, 11, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125630, 251261, 376894, 502529, 628166, 753805?\nAnswer: 879446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m - 4. Let d = -711 - -755. Calculate the remainder when d is divided by j(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22083044 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-6)*11\/(-550)*5.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010 (base 4) in base 9?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 76\/16 - 3\/(-12). Let c be ((-6)\/v)\/((-4)\/20). Let q = -3 + c. Solve 0*z = -q*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q**2 + 2*q**2 - 5*q**2)*(-2*q - 18 + 18) + 10 + 8*q**3 - 10 in the form i*q**3 + l + y*q**2 + d*q and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59 (base 11) to base 13.\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 105?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -340 (b) 3\/2 (c) 33\/58 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y**2 - 8*y - 3. Let n be d(-5). Let k = 143 + -207. Let o = n - k. Calculate the remainder when o is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*q - 4*v = -3, 2*q - 2*v - 6 = 0. Let c(y) = -y**2 - 7*y - 6. Let a = -9 - -4. Let w be c(a). Solve m - w*n = 2, -5*m + n - q = -4*n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-10))\/(-5 + (-299)\/(-65)) + 20\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31 in -2\/5, -5, 5\/7, 2, -25?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (5 + 1*sqrt(1088) - (2 + sqrt(1088) + -4)))*-6 + 2)**2.\nAnswer: 1156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 469333 by 2593.\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 2*h + 1. Let p be r(-2). Let v = 278\/3 + -92. Put 1, v, p in ascending order.\nAnswer: p, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 - 95 + 35)*(0 + 0 - 3*i + (75 - 85 - 112)*(0 + 0 + 2*i)).\nAnswer: 22230*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/2 - 1\/2*d**3 + 11\/2*d**2 - 19\/2*d.\nAnswer: -(d - 9)*(d - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13dad + 5?\nAnswer: -13da8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -34. Sort u, 0, -2, 0.2.\nAnswer: u, -2, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 30 (b) 20 (c) 2.31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 960, 4127, 11772, 26133, 49448, 83955, 131892, 195497?\nAnswer: 277008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 305523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 - (-137 - (-73 + -12)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/29350 and 101\/146750.\nAnswer: 146750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -379*(-3)\/(-135) + (-122)\/(-549). Let f(t) = -t**3 + 5*t**2 - t - 4. Let i be f(5). Which is smaller: i or r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 748138*m**4 - 271*m**2 - 231*m - 416143.\nAnswer: 8977656*m**2 - 542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -764 = -40*b + 6*b + 290 for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4)*u)**(-3\/29)*(u*u*(u**(-20)*u)\/u*u)**(2\/23))**(3\/7) assuming u is positive.\nAnswer: u**(-2337\/4669)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/25373273 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 0.9 (c) -3 (d) -2\/11 (e) 53 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 a factor of 203625616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 80309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 23*w + 31. Let i be l(14). Let h = -93 - i. Solve -b - 6 = -3*k, h*k + 10 = 7*k + 4*b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 25460 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-13))\/(60\/(-390))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -8. Let g be -6*(2\/(-1) - (-12)\/8). Let p be g\/3*l + 13. Calculate the highest common factor of p and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236519.\nAnswer: 236519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u**3 + 2*u - 1. Let d be p(-2). Suppose -4*i - 6 = h - d, 0 = -3*i + 15. Let q be 6\/42 + (-8749)\/h. What is q rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k**3 - 4*k**2 + 4. Suppose 5*z + 5*o - 8 = 2, 2*z = 3*o - 16. What are the prime factors of c(z)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -17*v**2 + 2*v + 2. Let r be b(-1). Let i(p) = p**2 + 16*p - 14. Let z be i(r). Solve -22 = -z*c + 5*c - 3*o, -c + o - 9 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p + 3. Let m be r(-2). Let l(k) = 3*k - 19. Calculate the remainder when l(m) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 73, 1, -71, -143?\n\"Answer: -72*m + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -83 + 158. Let j = 79 - d. Calculate the remainder when 17 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -9*d**3 + 36*d**2 + 2*d + 17. Let o be n(-9). What is the highest common divisor of o and 184?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/1489602 and -109\/492?\nAnswer: 122147364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -2, -7, 211.\nAnswer: -7, -2, -1, 1, 211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27024*s - 27024*s - 216*s**2 + (s + 3*s - 3*s)*(2*s - s - 2*s) + 3*s**2 + 2 - 5*s**2 + s**2 - 49*s + 5*s**2 + 49*s to h*s**2 + k*s + c and give h.\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 2*g + 10, -7*z - 13 = -g - 5*z for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 4:18 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -da2 (base 16) to base 12\nAnswer: -202a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (232\/1508)\/(1\/13). Solve 0 = -2*x - 2*x + 4*q - 8, 4*x = s*q - 14 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 310244 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2002*q - 12 = 2004*q + 10 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/21 of a week?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103, 405, 909, 1615, 2523, 3633?\nAnswer: 4945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32363436 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -41\/5 (b) -5 (c) 1.1 (d) -1 (e) -0.3 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 40\/200*(-20)\/2886. Which is bigger: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 4:18 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.026470052 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 8. Let x(j) = -j + 9. Let l(k) = -4*c(k) + 5*x(k). Let d be l(18). Let w(o) = -o + 4. What is w(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000820972 to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-1 + 18 - 7) - (4 - (-84 + -2))?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + ((1 + sqrt(108) + sqrt(108))*-4 - (-5 + -1 + sqrt(108) - sqrt(108) - sqrt(108))**2)).\nAnswer: -720*sqrt(3) - 858","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6643 * -98.9\nAnswer: 656992.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 11*z**2 + 29*z + 8. Suppose 5*j = -4*r - 51, -5*r + 0*r = 2*j + 34. Let w be k(j). Which is greater: 2\/527 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2137076.8 + 6526638. Let a = i - 4389563.19999972. Let g = a - -2. Round g to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 14. Let q(h) be the second derivative of h**5\/60 + h**4\/12 - h**3\/3 + h. Let k(i) be the second derivative of q(i). Determine k(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(891) + 1 - sqrt(891)) + sqrt(891) - 2*-1*sqrt(891)) + ((sqrt(132)\/sqrt(3))**2 + (-4 + sqrt(44)\/sqrt(4))**2)*-4.\nAnswer: -288 + 59*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + -2*sqrt(704) + (sqrt(704) + (sqrt(704)*-3 + sqrt(704) - sqrt(704)))*-3 + 1))**2.\nAnswer: 2048*sqrt(11) + 180288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37963844 to the power of 1\/2, to the nearest integer?\nAnswer: 6161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 71341\/61 less than 1171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 87.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2 + 15*v - 22. Let m be r(4). Is 73 a factor of (-3 - 62\/m)\/(5\/(-420))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 9. Suppose -5*s + 15 = 0, -22 = -2*v - s - 3*s. Suppose -16 = -3*p + 4*y - 1, -25 = -v*p + y. Solve -x + p = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2. Let n(g) = -8*g - 5. Let w(f) = -f**2 + 4*f + 3. Let d(i) = 3*n(i) + 5*w(i). Give d(z(a)).\nAnswer: -5*a**4 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10333, 10351, 10371, 10393, 10417?\n\"Answer: h**2 + 15*h + 10317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + sqrt(171) + (sqrt(19) + sqrt(76)\/sqrt(4) + sqrt(19))**2 + -1).\nAnswer: 3*sqrt(19) + 165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 174006647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2275 a factor of 77445550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -164*k - 86*k - 115*k - 95*k - 2 to the form q + b*k and give b.\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8, -4, 2, 10, 20, 32, 46?\n\"Answer: s**2 + s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -n, 40823*c - 5 = 40828*c + 5*n for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 + 3*s - 3. Let n(c) = -3*c**2 - 4*c + 4. Let w(p) = 4*i(p) + 3*n(p). Let b(q) = -29 + 24 - 24*q + 3 + 2. Determine b(w(j)).\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -440380743.8 to the nearest 100000.\nAnswer: -440400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of s**2\/2 + 3. Let r(u) be the first derivative of -3 + 0*u - 1\/2*u**2. Calculate r(w(o)).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - -a6?\nAnswer: 9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 106282500 to the nearest 1000000.\nAnswer: 106000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (12\/(-3) + 4). Suppose r + 0*r = k. Let f = 129 + -126. Solve -12 = -f*j - r for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*v + 1 = 3, -4*v + 6 = c. Suppose 0 = -q + a, -5*q - a + 20 = -2*a. Suppose t - 4 = q. What is the third biggest value in -5, c, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/10 and -83\/338.\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1253 = 4043*i - 4106*i - 763 for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15785 and -0.82.\nAnswer: 12943.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 1736*z**2 + 18*z + 249. Is u(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of p**7\/126 - 4*p**6\/45 + 2*p**5\/5 - 8*p**4\/9 + 8*p**3\/9 - p. Suppose u(x) = 0. Calculate x.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 29*x**2\/2 - 52*x + 10. Differentiate f(l) with respect to l.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/288 and 59\/25.\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -8. Suppose -3*j + 2*j - 12 = -4*n, -a = -n + j. Suppose 5*o - n*o - 12 = 0. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 334 and 1298926.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*w - 78*w - 16 = 69*w + 10 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**3 - 2010102*g**2 - g + 2010102 = 0?\nAnswer: -1, 1, 2010102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3133313 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144, 292, 440, 588?\nAnswer: 736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 5*n - 10, -4*n + 6*n - 4 = -3*p. What is the closest to p in 2\/9, -0.2, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1197\/(-27) + (1 - -1)\/6. Let j be (-2 + (-12)\/(-8))*v. Which is smaller: j or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (493\/34)\/29*-24?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of q**2*v + 26*q**2 + 49*q*v - 16*v + 17 wrt q?\nAnswer: 2*q*v + 52*q + 49*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 159268, 318537, 477806, 637075, 796344?\nAnswer: 955613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3305 - -9955\/3. Let o(x) be the third derivative of 0*x**5 + 11*x**2 + 5\/2*x**4 - g*x**3 + 0 - 1\/24*x**6 + 0*x. Suppose o(q) = 0. What is q?\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**3 + l**2 + 5*l + 7. Let b(j) be the first derivative of -3*j**4\/4 + j**3\/3 + 2*j**2 + 6*j - 541. Give 5*b(u) - 4*d(u).\nAnswer: -3*u**3 + u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -20609 divided by 4\nAnswer: -20609\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*k + 16 = 2*t, 5*t = 3*k + 45. Let f be (-108)\/16 + t\/8. Let g(s) = 6*s**2 - 5*s. Let u(l) = -7*l**2 + 6*l. Give f*g(y) - 5*u(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12012201 + 22?\nAnswer: -12012102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 13*z + 8. Let u be y(-13). Suppose 73 + 7 = u*j. Solve -3 = 5*p + 3*g + j, 2*g + 12 = -5*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*p - 47 = -2*z + 26*p, -2*z - 8*p = -62. Let b = 12 + -7. Solve -3*j = b - z for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13264, 4, -10 in decreasing order.\nAnswer: 13264, 4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 - o**2 + o + 0*o)*(-129 - 119 + 33).\nAnswer: 645*o**2 - 215*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*m - 499996 = 0, 2*m = z + z - 999996. What is z rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 11*l - 3. Let d be v(2). Suppose -14*f = -d*f - 25. Put 3, f, -7 in increasing order.\nAnswer: -7, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 3*j**2 + 4. Let v be (-5)\/2 + (-3)\/6. Let r be u(v). Let m be 7\/((-28)\/(-72)) + -3. Solve -r*l + 5*a + m = 0, -4*l + 24 - 6 = -2*a for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*i + 5*i - 20, 20 = 2*p - 4*i. Suppose 15 + p = 5*n. Suppose 4 = -5*y + 4*h + 5, -1 = 4*y - n*h. What is the lowest common multiple of 1 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 8*t. Let d(r) be the second derivative of r**3\/6 - 13*r + 3. Determine d(k(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i**4\/2 + i**3\/2 - 113*i**2\/2 + 219*i\/2 - 54 = 0. What is i?\nAnswer: -12, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18072 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 2. Let x(z) = -175*z - 6. What is -2*s(i) - x(i)?\nAnswer: 177*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 110346 (base 9) to base 15\nAnswer: 147d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20931 - 20913. Calculate the remainder when -2 - -117 - (2 + 0) is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - s - 2. Let g be y(2). Suppose 2*a + 174 - 1704 = g. Suppose -4*c - x = -a, -5*c - x + 958 = 2*x. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/188 and (-692)\/(-1384) - ((-184)\/329 + 1).\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 51*w**2 + 134*w - 611. Give j(-48).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 74 - 0 - (-12278 - -12446)\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14033821?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 122\/42 + -3 - 856\/(-168). Calculate the common denominator of 3 + m + ((-75)\/(-20) - -5) and -89\/92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/16 and 26\/1106243?\nAnswer: 17699888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-25))**(-7) assuming n is positive.\nAnswer: n**175","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 418*t = 431*t + 23920. Let s = -20222\/11 - t. Factor -2\/11*u**3 - s*u**2 - 14\/11 - 30\/11*u.\nAnswer: -2*(u + 1)**2*(u + 7)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 58187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87406 is divided by 6243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*z - 0*t - 286, -2*z + 301 = 5*t. Let p = -69 + z. Is 25 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - 40 - (29 + 20 + -68)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6199, -4, 8, 1\/5?\nAnswer: 6199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505366236?\nAnswer: 2, 3, 53, 88289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -24*h**2 - 21*h**2 + 73*h**2 - 26*h**2. Let d(r) = -4*r. What is d(k(t))?\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.78 - -1.78. Let g(s) = -s + 3. Let u be g(5). Which is the second biggest value? (a) x (b) 0.3 (c) u (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -b**5\/30 - b**4\/12 + 2*b**3\/3 + 28*b**2. Determine t, given that v(t) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27990 + -39362. Is k\/6*(-51)\/34 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 8*o**3 - 2*o - 14 - 3*o**2 + 9*o**2 - 12*o. Let i(n) = -3*n**3 - 2*n**2 + 5*n + 5. Let f(g) = 14*i(g) + 5*w(g). Find s such that f(s) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 769396?\nAnswer: 2, 23, 8363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-2 - 69\/3 - -3*1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**3\/6 - 5*n**2\/2 - 390*n. Determine g(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t - 9. Let w be g(0). Let s = -5 - w. Suppose 0 = 4*j - s*o - 36, 7*j - 2*j = -o + 33. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/(-2))\/((-5)\/(-2)). Suppose -o*t = -4*t + 4. What are the prime factors of t\/5 - 1827\/(-45)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -391, -634, -687, -526, -127?\nAnswer: 534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2367, -3692, -5017?\n\"Answer: -1325*p - 1042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 37772 + 13\nAnswer: 37785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-9) + 4\/18. Suppose y*d + 4*d - 44 = -5*w, d + 5*w = -4. What is the lowest common multiple of 8 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (6 + -8 - (7 + -2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 26. Let z be n(-11). Suppose -z*j + 17*j = 16. Solve j - 12 = -2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-170)\/(-102))\/(10\/(-36))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 99 in -0.4, -3, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16 + 306531055?\nAnswer: 306531104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -22. Does 18 divide (-1308)\/(-32) + z\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6524 is divided by 130.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.7 from -55619.\nAnswer: -55619.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63 + 34. Let h = -62 + p. Let b = 29.4 - h. What is b rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 235171 to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*h**2\/3 - 820208*h\/3 - 2627895169\/6 = 0. Calculate h.\nAnswer: -51263\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6 = 4. Find the first derivative of -h*v**3 + 2*v**3 + 12 - 6*v**4 - 14 wrt v.\nAnswer: -24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396) + (2*4*sqrt(396) - sqrt(396)).\nAnswer: 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 7*b**2 - 7*b - 7. Let r be y(8). Let x(j) = 5*j - 3. Calculate the remainder when x(4) is divided by 0\/r - (3 - 9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 49 + 232 = -46*h, -129*v = -132*v + 4*h - 31 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 v, and 1 e when three letters picked without replacement from {v: 7, e: 1, q: 2, d: 2}?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 518200.\nAnswer: 518200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1098 divided by -39617\nAnswer: -1098\/39617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 3*q**2 + 13*q + 3. Let n = 2994 - 2990. Let i(a) = -a**3 + 4*a**2 + 14*a + 4. Calculate n*x(m) - 3*i(m).\nAnswer: -m**3 + 10*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*h - 2278 = -123*h + 98*h. Let j(m) = m**3 + 35*m**2 + 33*m - 30. Give j(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*b + 3*z + 7, -5*z + 13 = -4*b. Let g be ((-5)\/b)\/(4\/8). Solve -3*c - 7 = -g*p, -3*c + 0*c = 5*p + 17 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*h + 6*h. Let t = h - -30. Does 21 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 4)*(-3*l + 6*l - l) + l + 0*l + 0*l + 31 + 4*l - 31 as g*l + q and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-450)\/40)\/15)\/3. Which is smaller: w or 12?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/90*(10080\/(-147))\/(-32)\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 5*v**4\/8 + 29*v**2 + 68*v - 2. Let i(x) be the first derivative of m(x). Let w(d) = 8*d**2. Give w(i(k)).\nAnswer: 1800*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 56\/5081?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 3*n - 225. What is the remainder when (-3)\/2 + (-212)\/(-8) is divided by q(17)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394027027 to the power of 1\/3, to the nearest integer?\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16738 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (1 - -2 - 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2411, 4758, 7043, 9266, 11427, 13526, 15563?\n\"Answer: -31*r**2 + 2440*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37.34 + 39.34. Sort y, 0.4, 2\/439.\nAnswer: 2\/439, 0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2154957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-872)\/13734)\/((-1)\/(-7)))\/(4\/(-36)*514).\nAnswer: 2\/257","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**5\/20 + i**4\/2 + 3*i**3\/2 + 3*i**2\/2 + 5*i. What is the tens digit of g(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 15*o**3 - 44*o**2 - 25*o + 63. Determine n(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584)*-2*-6 + 4 + (sqrt(121) - (sqrt(121)*1*6 - sqrt(121)))\/sqrt(11)*-3)**2.\nAnswer: 1248*sqrt(11) + 267712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 6*j - 13)*(-4 + 4 + 2*j)*(515*j**2 + 72489 - 72489).\nAnswer: -6180*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 145533 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -289 - 75*i + 30*i**2 - 218 - 356 + 363 + 5*i**3.\nAnswer: 5*(i - 4)*(i + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -4, -1\/4, -2\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2067, 1.9, 0.5, -0.081 in increasing order.\nAnswer: -1, -0.081, 0.5, 1.9, 2067","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t + 10. Let g be v(-8). Let s = 142 + g. Let b be s\/56 + (-4)\/14. Solve 0*q - 2*h = -2*q, 0 = -b*q - 4*h - 35 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -277 or 197?\nAnswer: 197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 6) in base 15?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -13*r. Let b(h) = 42*h**2 - 5*h + 10. Let x(n) = -104*n**2 + 13*n - 26. Let d(v) = 13*b(v) + 5*x(v). Give u(d(w)).\nAnswer: -338*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*h + 120 - 538 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o - 5073 = 1710. List the prime factors of o.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60*b + 61*b - 818 + 1110)*(-2 + 3 + 0).\nAnswer: b + 292","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -9. Let f be (-2 + i)\/(1*-1). Let x = -7\/12 + -23\/12. Which is greater: f or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -59*c - 2233 + 1997 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/20 + 474\/10. Suppose 7*f - 10*f + t = 0. What is the greatest common divisor of f and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*o + 4*a, -4*o + 2*a + 75 = 29. Let w(d) = 2*d**2 - 5*d + 8. What is the hundreds digit of w(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*5*1*-1*sqrt(171))\/(((sqrt(1296) - -6*((sqrt(1296) - -1*sqrt(1296)) + sqrt(1296))) + sqrt(1296))*2).\nAnswer: -sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + g. Let n be m(1). Let i = 5547 + -5559. What is the third smallest value in n, 1\/4, i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*j + 8*j + 3*j + (-1 + 1 - 2)*(-26*j + 3*j - 14*j)*(-8 + 7 + 16) + 0*j + j - 3*j to q*j + l and give q.\nAnswer: 1126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**6)\/k)\/k)**(2\/115)\/(k**7*k)**1 assuming k is positive.\nAnswer: k**(-934\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 30976 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 - 3*b + 2. Let t be d(2). Let q = -35 + 62. Solve -q = t*f - 11 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 - 0.1. Let q be (10\/(-105))\/(6\/(-9)*1). Let i = -68\/45 + 10\/9. Which is the third biggest value? (a) q (b) v (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10234 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -9. Suppose 5*x + 68 - 83 = 0. Solve -r + x = j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.58 + 0.72. Round h to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 56637386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p - 6. Calculate r(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1402*t + 1401*t + 6 = -j + 2801*t - 2, 0 = -3*j + 5*t + 31 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 517756254?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 3778*c = -3782*c - 188, 25*u + 4*u - 5*c = 1483 for u.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cddd when four letters picked without replacement from dcdddcdddddddddddd?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.11+-11.2\nAnswer: -11.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-171)*(-1081)\/4 - (-1850)\/17575\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 13716 + 1824. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 188 by -94.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -151aa (base 12) to base 6\nAnswer: -345134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.0183+132\nAnswer: 131.9817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 5 + 10*t**2 + 0*t - 25\/3*t**3. Find the second derivative of b(x) wrt x.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i + 16. Suppose 248*s - 242*s = -36. Give a(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -187.28 - -53046.\nAnswer: 52858.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 128789280 divided by 12240?\nAnswer: 10522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4132 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: Suppose 256*q - 127*q - 24625 = 124*q. What is the hundreds digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-1)\/(-14)*88\/22?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 8*v + k + 31 = 0, 3*k = 7*v - 53 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 + 598. What is the units digit of o + -5*8\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + k - 6 = -f, -4*f = 8*k - 45*k - 140 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 75*i**2 - 54*i + 15. Give s(2).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 62, 64, 58, 38, -2, -68, -166, -302?\n\"Answer: -k**3 + 2*k**2 + 3*k + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/18*(-87)\/(-1624)*49*6\/105?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(208)*1 - (-2 + sqrt(208))*-3)**2*5.\nAnswer: 720*sqrt(13) + 9540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-21) - 1*(-4)\/(-14). Are u and 0 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5604939839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 905313 is divided by 495.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fv when two letters picked without replacement from {d: 2, v: 1, l: 1, a: 1, s: 2, f: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -1475.\nAnswer: -2\/1475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + l = -452. Let g = l + 212. Let o = 39 - 28. What is the highest common factor of g and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -443, -890, -1335, -1778, -2219?\nAnswer: -2658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 37. Let j be ((-51)\/g)\/(5\/(-15)). Let m = j - -18. Calculate the common denominator of -57\/22 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 400523243 (base 6) to base 5.\nAnswer: 3212320213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j + 7*j - j + (j - 8*j + 5*j)*(-2 - 1 + 2) + (1 + 1 + 0)*(-j + 4 - 4) to the form u*j + h and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -87, -294, -687, -1326?\nAnswer: -2271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-15)\/(-3))\/(-15))\/1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 308066412?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 11*a - 14*a + 45 + 20 = 0, -5*g + 80 = 4*a for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2897 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 12 = 2*y + 44, -3*g = 3*y - 15. What is the greatest common factor of 63 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -0.11, 2142.\nAnswer: -0.11, 2\/3, 2142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76771812, 153543622, 230315432, 307087242, 383859052, 460630862?\nAnswer: 537402672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) 0.02 (b) 1 (c) 3\/86 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + sqrt(539)).\nAnswer: -14*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, -3, -0.2, 2\/35?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -k**4\/4 + 8*k**3\/3 + k**2\/2 + 8*k + 9. Suppose r = -3*f + 1, -2*f - 11 + 35 = 4*r. What is the tens digit of d(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.579 to one dp.\nAnswer: -8.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x + 131323*x**3 - 131346*x**3 + 5*x**2 + 2 - 1 + 2*x to w*x**2 + a + l*x**3 + k*x and give l.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -4, 2, -0.0852028, -45?\nAnswer: -0.0852028","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 480212 is divided by 886.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9348 - -9349. Which is the second biggest value? (a) 0 (b) -0.2 (c) l (d) -5\/36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -149 - -147. Let j = -1.8 + 2. Which is the closest to k? (a) j (b) -0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*k - 3*k - 2*k)*(6*k**2 - 3*k**2 + 4*k**2) + 0 + 0 - 2*k**3 to y*k**3 + q*k + c + j*k**2 and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.8 in -1, -2\/5, 65, 5.96?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -208 + 205.5. Let x = -2.8 - s. Which is the second smallest value? (a) -1 (b) 4 (c) -4\/3 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 3*r = 21, -50*h + 51*h = 3*r - 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 - -192. List the prime factors of b.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, 5 in descending order.\nAnswer: 6, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 36. What is the remainder when 97 is divided by f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of o**9\/30240 + o**8\/6720 - o**6\/720 - 11*o**5\/60 + 5*o**2. Let w(n) be the third derivative of h(n). What is w(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -328*l**2 - l. Let s(p) = 359*p**2. Determine o(s(z)).\nAnswer: -42272968*z**4 - 359*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2250125 divided by -18001.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254*r + 2172*r + 409*r.\nAnswer: 2835*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 6 - 13 + 2*p + 5 + 3. What is l(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 204033?\nAnswer: 204032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 70365558?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -116 - -3. Let j = o + 115. Let x be (-5)\/(8 + j)*-4. Solve x = 4*h + 2*u, 2*u - 3*u + 1 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w**2 - 5*w + 5. Calculate c(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15710 or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2214000 - 500?\nAnswer: -2214500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 6406.\nAnswer: 6406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*3\/(-42) + (-9878)\/(-77). Suppose 4*j - i - 172 + 48 = 0, z = 4*j - 2*i. Calculate the highest common factor of 70 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 662\/11 - 12\/66. Let m be d + 2\/(-4)*2. Suppose -118 = -2*n - 0*n - k, -m = -n + 2*k. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5 + (-5*2*sqrt(405)*1)**2 + 2.\nAnswer: 40502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aarroi. Give prob of sequence ia.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 130*r**2. Let o(z) = -6*z - 22. Let x(w) = w + 4. Let g(l) = 2*o(l) + 11*x(l). What is h(g(t))?\nAnswer: 130*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a factor of 83503875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1087, 2206, 3307, 4384, 5431?\nAnswer: 6442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 21174 = 263*y - 268*y, y - 3*i - 4218 = 0. Calculate the greatest common factor of y and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 3*r + 23, s = -2*r + 4*r - 6. Put 3, -4, 27, s in ascending order.\nAnswer: -4, 3, s, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67946, 135896, 203846, 271796, 339746, 407696?\nAnswer: 475646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (-3 + sqrt(76)))*-4 + 4)**2 - ((sqrt(76)*-3*-4 - sqrt(76))*6)**2.\nAnswer: -330992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -0.5, -63 in descending order.\nAnswer: 22, -0.5, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195, -400, -603, -804, -1003, -1200, -1395?\nAnswer: -1588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -6*a**3 + 8*a**2 + 8*a + 11. Suppose 0 = 2*c + 2*t + 2*t - 10, 0 = c - 3*t + 20. Let d(o) = -4*o**3 + 5*o**2 + 5*o + 7. Give c*q(k) + 8*d(k).\nAnswer: -2*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 11*u = 3640. Does 14 divide (1 - 0)\/((-13)\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -679 - -677. Sort -6, 2, x, 44 in descending order.\nAnswer: 44, 2, x, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 2*t - t)*(3*t - 4*t + 3*t)*(t - 1 + 1).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 2.812, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.62 + 2.57. Let d = -2 + v. Let z = 0.0492 + d. Round z to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 74153480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 24696474 to the power of 1\/2, to the nearest integer?\nAnswer: 4970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5*b - 35. Let j be c(-9). Let r be 2\/(-5) - (-288)\/20. Let q = 23 - r. Are q and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10383827.\nAnswer: 29, 12347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/1530 and -53\/78.\nAnswer: 19890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 126830 (base 9) in base 8?\nAnswer: 226644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -2*o**3\/3 - 235*o**2\/2 + 767*o - 929. Differentiate s(w) with respect to w.\nAnswer: -4*w - 235","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6007 - -4214. Is -1792 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 1)*(-2*u - 1 + 1) - u + 4*u - u to c*u + i and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -322418?\nAnswer: 322415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**5\/5 + 318*t**4\/5 + 981*t**3\/5 + 12*t**2\/5 - 1308*t\/5 = 0.\nAnswer: -2, 0, 1, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 769 at least 298867?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20840749?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhb when three letters picked without replacement from bbhbzbhhbhbbbbze?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-18))\/((-2)\/(-6)). Suppose -7*f + 11*f = 188. Let k = 47 - f. What is the nearest to q in k, 1\/7, 5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*t**3*z**2 - t**3*z - 107*t**3 wrt z?\nAnswer: -34*t**3*z - t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7864350 to the power of 1\/4, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 11 = -9*j + 13*j, 5 = -2*j - q. What is the second biggest value in 4, 4\/23, -0.5, j?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15\/(-4))\/((-51)\/1700). Suppose 24*x = 19*x + w. Let a be ((-6)\/3 - -4 - 2) + x. What is the greatest common divisor of 5 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2524\/(-840) - -3)*-1. Let d(n) be the third derivative of -1\/84*n**4 + 2*n**2 + 0 + 0*n - 2\/21*n**3 + s*n**5. Factor d(z).\nAnswer: 2*(z - 2)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*i = 74*i - 26. Suppose 0 = -i*v + 18*v - 15. Suppose -3*y + 72 = 3*d, v*y + 30 = d - 2*y. What is the lowest common multiple of 3 and d?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 42 and 1.7134?\nAnswer: 71.9628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1239 - -1238.5. Do r and 1\/31 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 - -40. Let u be n\/10 - 410\/(-50). Let r be -9 + 13 - (u - 1). Which is greater: r or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r = -58*z + 55*z - 3, 38*r + 61 = -4*z - 62 - 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28822912697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -745 divided by 149\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -4 (b) -48 (c) 2\/7 (d) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2400)*5 - sqrt(2400))*5)\/((4*(sqrt(448)\/sqrt(8) + sqrt(56)))\/sqrt(7)))**2.\nAnswer: 1875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 12*z = 11*z + 6, -14 = -5*i + 2*z for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64982516.\nAnswer: 2, 16245629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77750625 is divided by 389?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*o = 224, 2*g + 0*o - 149 = -o. Let a be 12\/10*10\/3. Suppose -g + 18 = -a*j. Calculate the greatest common divisor of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeoeeee. What is prob of picking 2 e?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11752, 17412, 23082, 28768, 34476, 40212, 45982?\n\"Answer: r**3 - r**2 + 5656*r + 6096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002478 rounded to 7 dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -12, -29, -54, -93, -152, -237, -354?\nAnswer: -509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(300))**2 + -1 + -5.\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from hzzhzpjphhhzppzhp?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 22.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/60*11\/22\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -3 - 6. Let l = 4 + -10. Let k be 4\/l + (-30)\/(-18). Do k and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/39200 and -31\/294.\nAnswer: 117600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 2*j + 4, -15 = -2*c - 2*j - 3. Let z(i) = -8*i - 4 - 2*i**3 + 3*i**2 + i**3 + 13*i - 1. What is z(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100110000001 (base 2) to base 12\nAnswer: -14a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -69 (b) -4 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 323*i - 25642. Calculate q(-138).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t. Let r(w) = -w**2 + 2*w + 2. Let n(g) = -g - 1. Let m(v) = -2*n(v) - r(v). Calculate y(m(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 333644*h**3 - 456944*h**2?\nAnswer: 2001864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5*b - 147. Let d(g) = -4*g - 73. Let p(a) = 5*d(a) - 3*q(a). Let v be p(5). What is the second smallest value in 0, 0.1, v, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*k**3 + 180*k**4 - 1 + 8*k**3 - 268*k**4 + 252*k**4 as c*k**2 + h*k**4 + a*k**3 + n + v*k and give h.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*n + 5*p, 0 = -2*n + p + 3. Sort 0, 1, n in decreasing order.\nAnswer: n, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-144)\/(-21)) + (7532\/98 + -8)*1\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 514281239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 2*t + 0*t)*(-3 - 15 + 3).\nAnswer: -30*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 5. Let d be y\/1 - 194000*50. What is d rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.079468 micrometers in kilometers?\nAnswer: 0.000000000079468","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*r = -11, -3*j + 2*r + 20 = -0*r. Let q be 2\/j - 2\/6. Let b(y) = y**3 + y + q*y + y. Let o(k) = 2*k**3 + 3*k. Give 3*b(t) - 2*o(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-56)*2*2. Which is the fourth biggest value? (a) 2\/9 (b) -2\/5 (c) k (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -238\/3, 1\/15, -2 in ascending order.\nAnswer: -238\/3, -2, 1\/15, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 9*x + 6*x + 31 = 0, x - 25 = w. Let j(g) = -2*g + 8. Let r be j(-8). Let h = r + w. Solve h*k + 12 = -2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -109 - -132. Let p be 1*2 + 10\/(-5). Suppose 4*f = j + 16 + 1, p = -3*j + 5*f - m. Is 8 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17864*p - 206094 = -16882 + 257388 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24517?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3 + 4 = -5*o, 0 = -3*w - 4*o + 2. Suppose -w*q - 18 = -68. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2614920397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, q: 2}. What is prob of picking 2 e and 1 q?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8050.\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*f = -16 - 3, -2*y - 2*f = -26. Suppose -5*v - 56 - y = 0. Let b = 0 - v. Calculate the remainder when 25 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 53*r + 498. Let b be s(8). Let i(p) = -p**3 + 9*p**2 + 12*p - 23. Calculate i(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 64? (a) -0.4 (b) 0.1 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*n = -4*n + 77, -n = 2*j - 157. Let g(q) = j*q - 95*q + 8 + q**2 + 27. Let o be g(14). Solve a = -5*t - 24, -2*a = 2*t + a + o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 371 + -377. Let t be (11 - 8)*(1 - 4). Does v = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/30 + 13\/5. Suppose -3*v - 5*d = 8, j = -4*v - 5*d - 7. Which is the second biggest value? (a) v (b) -2\/7 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.1 (b) -6 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -170 + 92. Let f = -44 + d. Let q = 121.8 + f. Put 2, q, -1, -0.4 in ascending order.\nAnswer: -1, -0.4, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 72 = -j, 3*q - 20 = 5*j + 40. Let l = -8 + q. What is the smallest common multiple of 6 and l?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10334*o + 2*q = -10330*o + 8, 16 = -4*o + 4*q for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**3 + 6*s**2 + 15*s - 2. Let x be c(-5). Let a = x + 304. Solve a*b + 2*v + 11 = -7, 30 = -2*b - 5*v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 11*l + 3. Give o(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 - 204 - (0 + -32)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -t + 25, -4*t + 4*p - 15 = -51. Suppose t*j = 36 - 106. Let n = -4 - j. What is the remainder when 17 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3179857 - -2?\nAnswer: 3179859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1891820 is divided by 145523?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.15 + 0.1. Let x = v - -0.45. Let g = -0.9 + x. Put -0.2, -2, g in ascending order.\nAnswer: -2, g, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 260, 240, 194, 110, -24, -220, -490?\nAnswer: -846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 128*u - 2793. Let l be h(-19). Factor l + 20\/7*v - 2\/7*v**3 - 6\/7*v**2.\nAnswer: -2*v*(v - 2)*(v + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 502\/3 + -168. What is the nearest to w in -1, -4, -0.02?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87198270?\nAnswer: 2, 3, 5, 17, 37, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 151210 + -2?\nAnswer: 151204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + i**2 - i + 1. Let v(b) = -9*b**2 + 5. Let l(g) = 3*q(g) + v(g). Let s = -3 - -5. What is the smallest common multiple of l(-2) and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33.62945768 - -18.62945806. Let v = 0.0499 - 15.0499. Let r = v - y. What is r rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8954 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r + 11. Let o(k) = -16*k - 44. Calculate -2*o(i) - 9*v(i).\nAnswer: -13*i - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -4*o + 88. What is the remainder when 42 is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 23*r + 35. Let l be ((-15)\/10*38)\/(-3). What is the tens digit of n(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k - 4. Suppose 4*w - 2*h - 30 = -h, -w - 3*h = -14. Let c = w - 4. List the prime factors of o(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**3\/2 - 25821*o**2\/2 + 12906*o + 25818 = 0 for o.\nAnswer: -1, 2, 8606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 12*b + 4. Give f(-9).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, 2 in decreasing order.\nAnswer: 8, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 5*j**2 + 15843*j - 79207. Calculate s(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*w**2 - 740184*w - 62885386.\nAnswer: 28*w - 740184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 3612.\nAnswer: 13\/3612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -9*w**8\/56 - 3*w**5\/20 + w**4\/6 + w**3\/2 - 39*w. What is the third derivative of g(r) wrt r?\nAnswer: -1080*r**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 38*o - 8 as d*o + s and give d.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1896 and 456.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 767*y + 400*y + 391*y + 43624 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 8*n - 14. Calculate t(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/124 and 67\/44.\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 1582*l + 9469. Determine b(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 d when three letters picked without replacement from {o: 3, m: 1, d: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -21*x + 249. Solve -4*c = -c + x for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-4 - 4)) + -1 + -6 + 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 6 + 6 = 0. Suppose -f*q + 5*o = -35, 2*q - 37 = -4*o + 23. Suppose c = q - 0. Calculate the smallest common multiple of 6 and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1951*g**5*x**2 - 758*g**5*x - g*x**2 + 6*g*x + 3117443*x**2 wrt g?\nAnswer: 39020*g**3*x**2 - 15160*g**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2 - (1004\/(-104) + 11).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 13 + 30 - c - 11 + 1. What is the smallest common multiple of x(11) and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 1\/3*t + 1\/9*t**3 + 1\/3*t**2 - 20. Factor a(z).\nAnswer: (z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 5*v**2 - 8*v + 9. Let w be l(6). Let i(g) = -g. Let k(m) = 4*m - 2. Suppose r - 2*r - 2*d = 1, -2*r - 2 = -2*d. Determine r*k(y) + w*i(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 3*n**2 + 2*n - 2. Let u(l) = -13*l - 5. Give 4*u(w) + 9*x(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 31*b**3 - 37*b**2. Let g(y) = 47*y**3 - 55*y**2. Let u(n) = -7*a(n) + 5*g(n). What is the third derivative of u(t) wrt t?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -24*x. Let f(u) = 4*u**2. What is f(j(c))?\nAnswer: 2304*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -26, -2, 5, 2324 in decreasing order.\nAnswer: 2324, 5, 4, 3, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1621325 + 1621452.9933. Let x = 207 - 79. Let g = x - y. What is g rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 6*k**2 - 7*k + 4. Let s be g(7). Let q(y) = -y + 5. Let o be q(s). Is 1 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 + 0.1. Let x = -1.7 + -3.3. What is the closest to 1 in x, 0.5, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1001 and 37037?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 335539*z**2 - 9. Let n be x(4). Suppose -4*i - 5831385 = n. Round i to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t**2 - 31540*t + 15767*t + 15773*t.\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -19.953 - 1.047. What is the second biggest value in 2\/3, -152, v, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + (-36)\/28)*7. Let z be i + 21 + (2 - (-3)\/(-1)). Let v be 70 - ((-4)\/2 - 0). Calculate the highest common factor of v and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11296 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*x - 30*x - 28*x + 68*x - 2 - 2*x**3 + 5*x**3 + 6*x**2 to the form k + w*x**3 + o*x**2 + y*x and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3 - 1432*f**2 - 611776*f - 67103232 = 0.\nAnswer: -632, -168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccococcccccoccooccc. Give prob of picking 3 c.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000229 to six dps.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 3*y - 119. Calculate the remainder when 57 is divided by y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1393 - 241 = 32*y for y.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -358 + 330. Let k be ((-13)\/26)\/((-17)\/b). Do 0 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 980588024?\nAnswer: 2, 13, 19, 59, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -178, -180, -192, -220, -270, -348, -460, -612?\n\"Answer: -j**3 + j**2 + 2*j - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*c - 40 = -4*c, -2*c + 8 = -4*y. Let n(t) be the second derivative of 0*t**y + 0*t**3 + 7*t + 0 - 1\/48*t**4. Determine u so that n(u) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -8.\nAnswer: -8, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 4*u**2 - 24*u + 117. Let d be c(5). What is the highest common divisor of 682 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15673427 and -27.\nAnswer: -423182529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 6*p - 3. Let w be v(2). Let j be w\/(-3)*2\/(-2). Suppose -2*c - j*c = -2*k + 165, -2*c - 290 = -4*k. What is the highest common divisor of k and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 137, 356, 671, 1082?\nAnswer: 1589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/410 + 169\/2050. Let c = -7\/225 - s. Is c smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 11*o**2 + 10*o + 4. Let p be f(10). Let l = p - 3. Are 1 and l nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -6*t + 212. Let a be d(36). Suppose -1 - 3 = -2*g. Sort a, 5, g, 3 in decreasing order.\nAnswer: 5, 3, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 193187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1351 is divided by 625.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12338 + 12341. Solve v*a - 25 = -5*h, -53*a = -2*h - 48*a + 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**3\/6 + q**2\/2 + 1998*q. Let p(y) = -2*y**3 - y**2 - 6*y + 8. Give 5*o(w) - p(w).\nAnswer: 2*w**3 + w**2 + w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*i - 796 = 0, -3*i - 13 = 2. List the prime factors of k.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 2\/9*k**3 + 0*k + 5*k**2 - 1\/180*k**6 + 0 + 1\/12*k**4 + 0*k**5. Solve d(j) = 0 for j.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert d6 (base 16) to base 5.\nAnswer: 1324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 - 16 - 1 - 20)*(-43*s + 54*s - 34*s).\nAnswer: 1725*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 40 (c) -0.5 (d) 0 (e) 3 (f) -0.01 (g) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3700*c - 10892. What is p(3)?\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**5 - 6*l**4 - 4*l**3 + 6*l**2 + 5*l = 0?\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7a472 (base 13) to base 12.\nAnswer: -a8a36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.14 + 60.86. Let a = n + -55.7. What is a rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - -2121?\nAnswer: 2132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**6*b)\/b*b*b**(2\/13)*b)**(2\/19)\/((b\/b**(-1\/5)*b\/((b*b**(-4))\/b))\/(b\/(b*b\/(b*b**(-2\/7)*b))*b*b**(2\/13))) assuming b is positive.\nAnswer: b**(-40039\/8645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) 10\/9 (b) 13 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.8, -5\/4, -3\/2, -0.9, 0.6, 122?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (216\/(-6))\/(-6)*1\/(-16).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102 + 101.49. Let s = d - -0.11. What is the closest to 0.1 in -5, -0.1, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 4\/3, 0.5, -1097, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2503 divide 1202419686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6536 times 0.3?\nAnswer: 1960.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 39.6, -1822, 1?\nAnswer: -1822","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18267.\nAnswer: 3, 6089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2431 is divided by 852?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 - 15*r - 6. Let v be q(8). Let s be (-27)\/9 + (-2 - (-48)\/v). Calculate the highest common divisor of 209 and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 (base 6) in base 12?\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5572733290, -5572733291, -5572733292, -5572733293?\n\"Answer: -c - 5572733289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 e when two letters picked without replacement from vvllleeleelv.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 43*75\nAnswer: 3225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(605) + sqrt(605))*2)\/sqrt(11))\/(-6*(sqrt(22) - sqrt(550))\/sqrt(2)).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7466, -59516, -200796, -475922, -929510?\n\"Answer: -7436*a**3 + a**2 - a - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**12*x\/(x\/((x\/(x\/x**(-2\/19))*x)\/x*x)*x) assuming x is positive.\nAnswer: x**(226\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 1.1?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r. Let h(q) = -161578*q**2 - 2*q. Determine v(h(i)).\nAnswer: 646312*i**2 + 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 7. Let w be s(1). What are the prime factors of (-210043)\/(-235) + w\/(-10)?\nAnswer: 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 221 divide 19937517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 13, -5, 1, -4 in decreasing order.\nAnswer: 13, 1, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(0 + 6*z**3 + 0).\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + j = -562, 5*j = j + 8. Let b be -10*(-4)\/10 - w. Let y = b - 62. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(1\/((-2)\/(-6)) + 0). Calculate the highest common divisor of p and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 397666 and 5116?\nAnswer: 1017229628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*h - 621 = -104 + 167 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i. Let f(w) = -2*w - 4*w + w + w. Let c(x) = f(x) + 3*g(x). What is c(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40\/4303 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*d - 8*d + 0*d**2 + 3*d - 4*d**2 + 3 to l + y*d + m*d**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9617?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -13. Let d(t) = -2*t - 5. What is the remainder when p is divided by d(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 2 - -93 - (76 + -20 - (73 + -14))?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15995805 rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 v when two letters picked without replacement from ifxxxqfvffxxvfxx.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u**2 + 2*u**2 + 4*u**2. Suppose -2*j + 0 + 4 = 0. Let a(t) = -t - j*t + t. Determine l(a(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 17) + (11 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*b**3*u**3 + 480890*b**3*u**2 + b**3*u - 11*b**2*u - 12*b**2 - 2*b*u - 48*u wrt u.\nAnswer: 24*b**3*u + 961780*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -0.1, 3, -4\/5, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1699 * 503.5.\nAnswer: -855446.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3\/5 - 162440517*b**2\/5 + 2198909724167592*b\/5 + 2198910536370252.\nAnswer: 3*(b - 27073422)**2*(b + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16837 and 1921?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12057 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5508500 is divided by 31840.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/20 and -35\/572.\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262550056?\nAnswer: 2, 19, 449, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72 + -89. Suppose 9*f + 0*f = -171. Is f less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 2. Suppose -3*v + 2*w + 0 - 33 = p, -2*w + 6 = 0. Let x(m) = m**2 + 9*m. Let n be x(v). Which is the nearest to n? (a) 4 (b) 3 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (27\/6)\/(-9)*-554. Let a = i - -92. Calculate the highest common factor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -265 bigger than -39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -51, -131, -253, -423, -647, -931?\nAnswer: -1281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-14) + ((-1851)\/21 - -5). What is the tens digit of 5 - (n + 4\/(-2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 149.15?\nAnswer: -149.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.9979311 months?\nAnswer: 0.083160925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12589?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 48 + 49 - 97 - 121*b in the form d + a*b and give a.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159542?\nAnswer: 2, 241, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -43, -120, -173, -208, -231?\n\"Answer: -m**3 + 18*m**2 - 124*m + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/5 + 3021004*w\/5 + 9062994\/5.\nAnswer: 2*(w + 3)*(w + 1510499)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 2*o**2 + o + 3. Let x be v(3). Let z = 0 - -6. Let q = z + x. What is the remainder when 8 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2006 divided by -118.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(-585)*2\/3*216\/80.\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18\/19*y**2 + 4\/19*y + 22\/19*y**4 + 6\/19*y**5 + 0 + 30\/19*y**3.\nAnswer: 2*y*(y + 1)**3*(3*y + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*g**3 - 14*g**3 + 20*g**3.\nAnswer: 30*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 6*g**2 + 14*g - 7. Determine a(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13851068 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 9*l**3 + 62*l**2 - 47*l - 102. Calculate q(-8).\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 4. Let k(t) be the first derivative of t**4\/4 + t**3\/3 - t**2 + t + 991. Let o be k(f). Solve -4*j - 21 = -o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -9012*f - 252337. Determine q(-28).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12378270 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/3))**6*f**(-3)*f**(-3))**(2\/13) assuming f is positive.\nAnswer: f**(-20\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 273971717 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of s**3*x*z - 4*s**3 - 31584*s**2*x*z + 4*x**3*z - 646*x**3 - 4*x wrt z.\nAnswer: s**3*x - 31584*s**2*x + 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 404*q**3*y**2 + q**2*y - 93*q*y + y**2 wrt q?\nAnswer: 2424*q*y**2 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/10, 2\/7, -230?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5686237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/12176 and -31\/24?\nAnswer: 36528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*c = 38*c - 2*g + 19, 5*g = -4*c - 35 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 310.\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50090 is divided by 3852?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 359 (base 11) to base 10.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - r = -4*f - 20, 2*f + 5*r + 22 = 0. Let u = 56 + f. Suppose u = 2*x - 54. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -946, -3942, -8990, -16096, -25266, -36506, -49822, -65220?\n\"Answer: -t**3 - 1020*t**2 + 71*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 42*m - 32*m**2 + 21 - m**3 - 41*m + 5*m**2. Let n be u(-27). Let x(t) = -3*t**3 - 7*t**2 + 4*t + 7. Is x(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1423 * -6.70561.\nAnswer: 9542.08303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/36 and 67\/60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-3)\/36*-57.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 10:57 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k = 54 - 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 6, -3*b = 4*y - 0*b - 2. Which is greater: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**2 - 5*w**2 + 1388*w**3.\nAnswer: 1388*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1745, -13228, -43827, -102920, -199885, -344100?\n\"Answer: -1563*v**3 - 180*v**2 - 2*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 89*q. Let j(k) = -2*k**2 + 154*k. Calculate s(j(w)).\nAnswer: -178*w**2 + 13706*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, a: 3, l: 1, z: 7, u: 2, d: 2}. What is prob of picking 1 u, 2 d, and 1 a?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-21) + 412\/28. Suppose 3*h + 0*h - z = 0. Suppose h*j - 18 = 2. Solve j*w + 2 = 18 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19069859 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: Let u = -17 + 17.26. Let i = -9.74 - u. Is -0.1 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2854 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from lqyyslqqyqqylllpy.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0239252 rounded to 4 decimal places?\nAnswer: 0.0239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 5:37 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1768 or 22968\/13?\nAnswer: 1768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 4858621.\nAnswer: 5\/4858621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000059 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7 - 13.3. Let u = s + 12. Let h = -1.53 - -2.03. Sort h, 1.1, u in descending order.\nAnswer: 1.1, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/(-16))\/(2\/(1*48)). Calculate the highest common divisor of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8 + 1645\/(-896)*-6982. Let t = n + -12811. What is the common denominator of t and 91\/12?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.558504us in minutes?\nAnswer: 0.0000000593084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10547 - -25588. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22c (base 13) to base 15\nAnswer: 1a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 2. Let p be z(-5). Let t(o) = o**3 + 7*o**2 - 7*o + 9. Suppose 0 = -b - 7 - 1. Let i be t(b). Put -0.2, i, p in descending order.\nAnswer: p, i, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iaaa when four letters picked without replacement from {a: 5, i: 5, n: 4}.\nAnswer: 25\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by -106.\nAnswer: 14\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.85 - -0.15. Let y = n - 10.97. Let l = 0.33 - y. What is the biggest value in -1\/4, l, 2\/13?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94, 99, 110, 127, 150, 179?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8174832\/575 or 14216?\nAnswer: 14216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c**2. Let d(o) = -o - 647. Let w(u) = -242. Let x(y) = d(y) - 2*w(y). Calculate x(m(g)).\nAnswer: 4*g**2 - 163","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.57213cm in millimeters?\nAnswer: 955.7213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 549409 times -1?\nAnswer: -549409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 94\/1392321 less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/14)\/(8\/(-21560)*-11*45\/27).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 6*j = 2652, -1056 = -2*h - 33*j + 37*j. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 18 = -c. Let b = 4 + c. Let g = 60 + b. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 610*m**2 - 4*m - 2. Let a be x(-3). Let t be ((-36)\/(-5) + 0)*a\/15. Round t to the nearest 100.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 3*p + 7. Let v be 18\/(-3) + (4 - 0). Let l be o(v). Let t = l + 14. Solve -4*k = 3 + 1, 5*u + 4*k + t = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8572*t - 1403028 = 22744*t for t.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -5 (b) -10.6 (c) 3 (d) 1\/4 (e) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u**2 - 2 - 1 + 1)*(6*u - 2*u**2 - 6*u) to the form p*u**2 + q*u + x*u**4 + d + z*u**3 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pkp when three letters picked without replacement from {p: 2, l: 3, i: 6, k: 2}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 132812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*v - 2845 = -15245 for v.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -938*h + 4127 + 22123 - 2800 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 148*c + 1. Let u(r) = -2*r + 34. Let d be u(17). Suppose d*o + 27 = 9*o. Is z(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 5 - (-68 + 63) - 20.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3283739 - 41298453\nAnswer: -44582192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(((-34)\/(-102))\/(44\/(-44)))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34 and 0.01.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*a + 30 + 0 = 0, 0 = 2*d + 4*a - 8. Find the common denominator of 83\/30 and (-4 + d)*(-268)\/(-672).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -1\/6, -2\/3, -2\/38923, -1, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -44 (b) 2 (c) -2\/203 (d) -0.2 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*i - 196 + 609, -t - 5*i + 428 = 0. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27b2 - 1c?\nAnswer: -27ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, d: 1, h: 2, j: 1, v: 1, y: 1}. What is prob of picking 1 h and 1 j?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 401*l - 404*l = 13, -24 = -4*n - 2*l for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/1 - (13 + 0). What is the tens digit of 114\/4*o\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 4. Let b be (-9010)\/(-15) + j\/6. Let v = b + -413. Calculate the greatest common divisor of v and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 86*p + 83*p + 215 = 187, 5*b - 18 = -p for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 117265359 and 5086?\nAnswer: 234530718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p**3 - 19*p**3 + 4*p**3 + 6*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8 + -9)*(-2)\/((-4)\/(-6)). Calculate the common denominator of (-133)\/18 + -7*(-30)\/42 and (-1788)\/40 + j\/15.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 2*v**2 - 3*v**2 + 5*v**2 + 8 - v. Let t be ((-2)\/(-2) - 0) + -1. What are the prime factors of x(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.1 + -8. Let k = -8 + 7. Let s = k - r. Put s, -0.4, 1\/2 in increasing order.\nAnswer: -0.4, s, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 180192980 - 180193268.0000075. Let o = -288 - x. What is o rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19932, -39852, -59772?\n\"Answer: -19920*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of y**5\/20 - y**4\/12 + y**3\/6 + 12*y**2 - 2*y. What is the tens digit of a(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3716, 14898, 33542, 59648?\n\"Answer: 3731*k**2 - 11*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1425567 divided by -2?\nAnswer: 1425567\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 1. Let j(f) = 3*f - 1. Let x(b) = -j(b) - 3*p(b). Let q(r) = -r - 1. Let c(y) = -5*q(y) + 2*x(y). Give c(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 362 + -362. Let p(m) be the first derivative of 2\/5*m**5 + 0*m**3 - 1\/4*m**4 + 6 + 0*m**2 - 1\/6*m**6 + f*m. Determine y, given that p(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336533 is divided by 66.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -20*v**2 - v + 3. Let x(h) be the third derivative of -13*h**5\/20 - h**4\/24 + 5*h**3\/6 - 24*h**2 + 1. Determine 5*l(r) - 3*x(r).\nAnswer: 17*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.696511 nanometers in kilometers?\nAnswer: 0.000000000002696511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/4156490 and 49\/1758515?\nAnswer: 45721390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 10979 and -111037.\nAnswer: -100058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 501, -0.43, 3, 0.8, -1, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -98710 rounded to the nearest one thousand?\nAnswer: -99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -80048632*b. Let t(y) = -2*y**2. Calculate t(n(w)).\nAnswer: -12815566970142848*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 494403, 988812, 1483223, 1977636, 2472051, 2966468, 3460887?\n\"Answer: r**2 + 494406*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -1595*m - 2. Let d be n(-2). Suppose q + 5*s + 3220 = 0, q - 3*s = -0*q - d. Round q to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4\/4 - 635091*o**3\/4 - 1270191*o**2\/4 - 635097*o\/4.\nAnswer: 3*o*(o - 211699)*(o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 119887281?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 + -2 - 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 39 in 2, 2\/131, 5, 2\/611?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 2*b + 598, -3*q + 5*b + 120 - 475 = 0. Let d = 130 + q. Solve -20 = -d*j + 6*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/60*2\/6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1375, -2753, -4133, -5515?\n\"Answer: -a**2 - 1375*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 25 = 8. Let x(n) = n**3 - 16*n**2 - 15*n - 34. Let k be x(p). Suppose -4*r - r + 160 = k. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -11*f**2 - 3*f. Let s(p) = -2*p + 26. Let q be s(11). Let i(u) = 3*u + 12. Let y(o) = -5*o - 21. Let m(d) = q*y(d) + 7*i(d). Calculate m(v(l)).\nAnswer: -11*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -603464, -1206839, -1810212, -2413583, -3016952?\nAnswer: -3620319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-705)\/(-20))\/3 + 3\/(-4). Let c(b) = b**2 + 7*b. Let s be c(-7). Suppose s = q - 25 + w. Calculate the least common multiple of q and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12\/769 + -51451\/4614. Calculate the common denominator of p and 43\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 49?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 56704472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-24)*3)\/(1\/11)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 1558 = -4*v + 3*r, -v = -2*r - 396. Is v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91464 and 9102?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346003?\nAnswer: 7, 49429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 43 + 59 + z**3 - 29*z - 100 + 20*z**2. Let y = -19 + -2. What is the hundreds digit of g(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137, 141, 147, 155, 165, 177, 191?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -0.061.\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 8\/392511, 1\/4 in increasing order.\nAnswer: 8\/392511, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -1, 3, 44, 2, 1, -28 in decreasing order.\nAnswer: 44, 17, 3, 2, 1, -1, -28","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 2. Let g(k) = -3*k**3 + 23*k**2 - 6. What is g(b) + 2*y(b)?\nAnswer: -3*b**3 + 21*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124 + 163 - 287 + b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, -1, 0.5, 11?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -5, 0.1 in decreasing order.\nAnswer: 0.3, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + -9*(-4)\/(-3). Let y = a + 61\/4. Sort y, -2\/15, 2\/5 in descending order.\nAnswer: 2\/5, y, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*c*u**3 + 406*c*u + 3*c - 53498*u**3 + 2*u**2 - 242 wrt u.\nAnswer: 72*c - 320988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 33259.\nAnswer: 332590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 41, -57, -185, -337, -507, -689?\nAnswer: -877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/4780 and -143\/2868.\nAnswer: 14340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 10}. Give prob of picking 2 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1333326 plus -1?\nAnswer: -0.8666674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 - 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvggntqvy. Give prob of picking 2 t and 1 n.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10140900 rounded to the nearest 100000?\nAnswer: 10100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 6*r - 3. Let i be n(5). Suppose i = -5*t + 22, -3*x - 2*t = 154. Let p = x + 145. Is 17 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2031 - x - 24*x**2 + x + 1478*x**2 + 1650 wrt x.\nAnswer: 2908*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54409, -108812, -163215, -217618, -272021, -326424?\nAnswer: -380827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-33) - (-111)\/(-66)) + 15\/9.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19074186 or 19074172?\nAnswer: 19074186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6098162, 12196382, 18294602, 24392822, 30491042, 36589262?\nAnswer: 42687482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 10\/(-40)*(3 + -1). What is t in -1\/2*t**3 - d*t**2 + 1\/2*t + 1\/2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3546573l?\nAnswer: 354.6573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 6 = -2*q, 0*h + h - 4*q = 2. What is the units digit of (-3)\/(-3)*(0 + h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.3 - -2.39. Let j = -0.31 - z. Let n = j - -8. Round n to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4300)\/294 - 400180\/(-27285).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-96)\/(-15) + 2\/(-5). Suppose j*x - 105 = x. Calculate the remainder when 124 is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3494251 is divided by 1748.\nAnswer: 1747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -26*y + 25*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(32*l - 10*l - l)*(-1 + 3 - 1)*(-6 + 17 + 0)*(l**3 - 5 + 5).\nAnswer: -462*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 15. Suppose -8 = -15*i + 13*i. Let r(h) = -3*h + 2. Let g be r(-3). Solve -3*k = -2*u - g, z = i*k + u - 14 + 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*f + 25 = 0, 0 = -10*m + 7*m - 5*f - 25. Suppose 0 = z + 5, 3*z = -3*b - m*b + 21. Calculate the highest common factor of b and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 1240*v**2 + 3 + 2 + 4227*v**2.\nAnswer: 2987*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0. Let v(m) = -m**3 + 10*m**2 - 10*m + 8. Let c be v(9). Let x = c + i. Is 2\/9 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65 + 114. Let n = j - 6. What are the prime factors of n?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 2*h + 15, -f + 9 = 5*h + 21. Suppose -50 - 14 = -4*w + 3*a, 2*a + 48 = f*w. Calculate the highest common divisor of w and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14928 to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29336231 to the nearest integer?\nAnswer: 5416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -121, 0, 0.2, -5 in decreasing order.\nAnswer: 0.2, 0, -5, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 3*y - 0 - 6, 4 = -2*y. Suppose r*p = -p + 2. Calculate the remainder when 2 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-14)*(-7 - (-210)\/(-12)). What is the tens digit of 373 - 7\/(b\/8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (38\/19*2\/8)\/(-2)*(-856)\/2461\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**4\/13 + 11826*u**3\/13 - 47328*u**2\/13 + 47336*u\/13 = 0 for u.\nAnswer: -5917, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 948706?\nAnswer: 2, 11, 29, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - c + c)*((6*c - 3*c + 3*c)*(0 + c**3 + 0) + 4*c**4 - 2*c**4 + 7*c**4)*(-1 + 3 + 4).\nAnswer: -180*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -269212101*w**2 + w - 54468383?\nAnswer: -538424202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 52826*r - 52824.\nAnswer: -2*(r - 26412)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 404*h**3 + 10 - 8 + 640*h**3 - 1703*h**3.\nAnswer: -659*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b - 19*b**2 - 16*b**2 + 18*b**2 + 8 - 11 - b**3 + 0*b**3. Determine w(-17).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 126031937?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/13? (a) 0.3 (b) -0.3 (c) 4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*u - 3*a + 1077 = -31*u, u - a - 371 = 0. Solve u - 379 = -2*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233147 is divided by 1715.\nAnswer: 1622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (sqrt(126)\/sqrt(3) + sqrt(42))\/sqrt(6) - (sqrt(77)\/(sqrt(33)\/sqrt(3)) + sqrt(7)) - (3 + 2 + sqrt(7) - sqrt(63)\/sqrt(324))) + -1)**2.\nAnswer: 46*sqrt(7) + 4999\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -391*o**3*v**3 - 7*o**3 - 177*o*v**3 - 20*o + 181 wrt v.\nAnswer: -1173*o**3*v**2 - 531*o*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + -6)\/((-3)\/(-227)). Which is bigger: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 914 + 6*x**2 - 914. Let f(w) = 3*w. Calculate f(g(q)).\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = 3*a - 0*a. Let q = -9 - a. Suppose -2*d = -q - 2. Solve -9 = -2*z - z + 3*x, -4*x = 3*z + d for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -133010600\nAnswer: -3\/133010600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 94 + -34. Calculate the greatest common divisor of o and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(972\/(-32))*15\/20. Let u = 41.3 - 45.3. Which is the closest to -0.1? (a) -1\/8 (b) s (c) u (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 159, -2, 3 in ascending order.\nAnswer: -2, -0.2, 3, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -591366 (b) -5 (c) -0.2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 1 + 4 + -2. Suppose 4*w + y - 28 = 2*y, -u*w + 24 = -3*y. Let x be (2\/(-7))\/((-3)\/w). Which is the nearest to 1? (a) 1 (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**2 - a**3 + 4*a**2 + 6*a**3 + (10*a - 6*a + 3 - 5*a)*(-2*a**2 + 7*a**2 - 3*a**2) in the form t*a + m*a**3 + d*a**2 + f and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 488984 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 22398 = -1528. Let b = i - -50. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9339.13638 microseconds in weeks?\nAnswer: 0.00000001544169375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -2. Suppose 4*r + y = 12. Solve 0*h = -r*h + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(3\/4)*g*g*g))\/g**1*(g**(-1)\/g)**(2\/19) assuming g is positive.\nAnswer: g**(-377\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 752454?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-nine fifths of a minute?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9291 is divided by 546?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4*-2)\/((-1)\/6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2\/42*-670702*-3 + 594\/1386?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**2 - 2849*s + 68952 = 0?\nAnswer: -2873, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {s: 2, g: 1, r: 1, j: 1, y: 3, t: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2185 divided by -437?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*r = 42*r + 4620. Calculate the greatest common factor of 20 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 4, 15, -5, 3, -290 in decreasing order.\nAnswer: 15, 5, 4, 3, -1, -5, -290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**2. Let i(a) = 17*a**2 - 2*a + 3*a - 16*a**2. Let p be i(-2). Let w(y) = y + 0*y + p*y. Calculate m(w(l)).\nAnswer: 27*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 a when three letters picked without replacement from xrrraxrrxanrnxrnx.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 103713*o + 513628 wrt o.\nAnswer: 103713","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*d - 237. Suppose 34 = u - d. Let l = u - 78. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-8) - -9) + -8 + (-8)\/6. What is the closest to 0.3 in z, 1\/4, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus -0.08054?\nAnswer: 4.08054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86169.465 + -86356. Let q = h + 186. What is q rounded to 2 dps?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q - 1. Let d(c) = -12*c + 3. Let b(y) = 3*d(y) + 8*z(y). Suppose -1 = -5*j - 11. What is the units digit of b(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40) + (-1*sqrt(320) + sqrt(320))\/sqrt(8))\/(sqrt(72)*2 + sqrt(72) - sqrt(72)))**2.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -195300 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -5\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 4278750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -249 - -3c64?\nAnswer: 3a18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(108))**2 + 5.\nAnswer: -12*sqrt(3) + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y**2. Let u(a) = -a**2 + 7*a - 7. Let f(z) = -z**2 + 6*z - 6. Let s(o) = -7*f(o) + 6*u(o). What is c(s(g))?\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -137623.196 rounded to the nearest one thousand?\nAnswer: -138000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 103 and 2072.\nAnswer: 213416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 + 54. Solve -g*s + s = 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j. Let q(z) be the second derivative of z**3\/3 - z**2\/2 + 3*z - 9. What is -q(y) + 3*t(y)?\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = 5*z + 32. Let d = -58 + 106. What is the greatest common factor of z and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 62?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 454 = 452 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 177300 and -1014 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 25\/2, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4931721 is divided by 1110.\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10*(-213)\/355)\/((-2)\/(-8)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 + 5 + 3 + (3 + 0 - 1)*(2 - 3 - 1))*(-22*z - 47*z + 7*z + (1 - 1 + 2*z)*(4 + 2 - 4)) + 1 - 3 + 11*z - 17*z)*(6*z**4 - 4*z**4 - z**4).\nAnswer: -586*z**5 - 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2197755 to the nearest integer?\nAnswer: 1482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 2*y**2 + 4*y - 2. Let v(k) = 1 - k + 4*k**2 + 3*k**2 - 6*k**2. What is b(m) + 2*v(m)?\nAnswer: -m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000045067 to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1189 - 1188.999212. What is q rounded to five dps?\nAnswer: 0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, e: 2}. Give prob of picking 2 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d**4\/7 - 165*d**3\/7 + 93*d**2 - 240*d\/7 - 612\/7 = 0 for d.\nAnswer: -17, -3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, 6.47, -0.1248 in descending order.\nAnswer: 6.47, -0.1248, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a + 9. Let m(z) = -7*z + 18. Let k(w) = -6*m(w) + 10*n(w). Does 2 divide k(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -9. Let v be (132\/(-176))\/(6\/(-32)). Solve -2*n + 3 = -i*b, -3*b + 0 = v*n + 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (((-456)\/(-380))\/(2\/(-5)))\/((-7)\/(-35))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40502 = 1770*w - 1616*w. Is 263 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4815481161 from -85.\nAnswer: -4815481246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 6*d - 22603 = -8*d, 2*i + 2*d - 9040 = 0. What are the prime factors of i?\nAnswer: 3, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 + 0*c**2 + 285792421450*c + 1 - 285792421450*c + 5*c**2 - 1.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**4\/9 + 4*h**3 - 92*h**2\/9 + 4*h\/3 + 16 = 0. What is h?\nAnswer: -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*j - 13*j = -532. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2100f + 733?\nAnswer: 21742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4924)\/(-10) - 0 - (-22)\/(-55) is divided by 162.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2 - 1 = 0. Let p be (-2)\/y + (-10)\/(-1). Let l = p + -3. Solve -r + l - 4 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(0 - -2) + -4. Let z(o) = 2*o + 20. Calculate the remainder when 29 is divided by z(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccv when four letters picked without replacement from jjjcccccccvcccccvc.\nAnswer: 143\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.01 - -2.21. Let x = 13.8 + w. What is the smallest value in 0.5, -3, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*h + 54, 0 = 9*b - 14*b - 2*h + 106. What is the highest common divisor of b and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -241, -483, -725, -967?\nAnswer: -1209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 30*f + 364. Determine v(-9).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 7*u + 5. Give c(-7).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1400403 rounded to the nearest one thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 169867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -125566, -252675, -379784, -506893, -634002, -761111?\n\"Answer: -127109*l + 1543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 10:01 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4984\/(-888) - 22\/407\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162458467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 20 = -2*q, 0 = -0*h + h - q - 1. Let o be h*(-1 - (-1)\/(-3)). Suppose 3 - 6 - o - 8*z - 2*z**2 - 1 = 0. What is z?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 7:50 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, 5, 12\/13, -2661?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 173*r**2 + 20*r - 1. Let d(l) = 171*l**2 + 29*l - 2. Give 2*d(c) - 3*i(c).\nAnswer: -177*c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 2*f = 18, -5*h = 6*f - 8*f + 17 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 158*j**2 + 20984*j + 20826.\nAnswer: 2*(j + 1)*(79*j + 10413)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -17 times -112\nAnswer: 1904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-40)\/(-400) + (-6)\/(-4))*(-1 + 4). What is g in 2\/5*g**5 + 0*g + 0 + 12\/5*g**4 + 16\/5*g**2 + v*g**3 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -90, -213, -346, -483, -618?\n\"Answer: x**3 - 11*x**2 - 97*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-6)*-9)\/(((-12)\/714)\/((-28)\/147)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1453 + 1448. Let f = 0.2 - 1.2. Let v = -1.1 - f. Which is the nearest to 0? (a) u (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - k**2 - k + 3. Let p(l) = -2 + 8 + 10*l**2 + 7*l - 9*l**2. Let x be p(-6). Let h be o(x). Solve 0 = -4*r + 3*d, 2*r = -h*r + 2*d for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 10 + -7 - (1 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 21*u + 275. Let o be t(-30). Solve 0*r + 16 = -4*d + 2*r, -o*r + 20 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*t = -249*t - 464 - 757 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2*30\/8)\/6. Suppose -3*m = -m + 12. Which is the second smallest value? (a) m (b) -2\/9 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (864\/(-240))\/((-6)\/20)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnjjnjnjjn. What is prob of sequence nnjn?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1133 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 12:41 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 363473 (base 8) to base 16\nAnswer: 1e73b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/7261 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-91)\/52)\/(2\/(-920)). Suppose -g = -0*o - 5*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 5*w = -3*o + 43, 0 = -3*o + 21*w + 111. Let r(n) = n**2 + 2*n - 4. What is the remainder when r(-8) is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 172 and 258?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5 = 2*p, 0 = -p + 37*c - 36*c - 2. Let j(x) be the second derivative of x**3\/6 - x**2 - 15*x. Determine j(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4310436.312 rounded to the nearest ten thousand?\nAnswer: -4310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 49. List the prime factors of u(-20).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-42))\/((-80)\/127400*25)*-4.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6, 4, 3, 449 in descending order.\nAnswer: 449, 6, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/11 (b) -2 (c) -5 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43 - 31?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - 3*x + 9. Determine c(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*w - 51*w = -24*w - 26*f - 93, 2*w - 34 = 3*f for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -5*r, -5*r - 1356 - 1343 = 2*s - 2679 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-712 - -604) + -3 + (-2 - (4 - 4)).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1309 = -5*f + a, -a = -3*f - f + 1048. Calculate the remainder when f is divided by 53.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 675 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 234888538 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 23329 (c) 1\/498 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*v - 3*v + 15 = 0, 4*v - 12 = 0. Solve -w - p + 0 = -5, -5*w + 3*p + l = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w + 7. What is the tens digit of b(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60.015 - 0.015. Let g = s - 33. Let p = g - 27.0000022. Round p to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -127, 3\/7, -1317?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 10*a + 9. Suppose -1 = -5*g + 29. Let w be (-105)\/20 - g\/8. Calculate q(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + i + 14572*i**2 - 7285*i**2 - 7273*i**2.\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7632*f**3 + 33*f**2 - 32?\nAnswer: 45792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/7)*r**(-2\/19)*r*r*r**(-3)*r\/(r\/((r\/((r*r**(1\/6))\/r))\/r)*r))\/((r*r*(((r*r*r\/(r*r**(-1)*r))\/r)\/r)\/r)\/r**(7\/3))**(-28) assuming r is positive.\nAnswer: r**(-10573\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 - 9*o + 28)*(-5 + 1 + 3) + 57*o - 32*o - 59*o.\nAnswer: -25*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2 (b) -3 (c) -1\/7 (d) 3\/7 (e) 156\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o - 3*r = -11*o - 25267, -5*r + 37902 = 3*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4802984005?\nAnswer: 5, 4723, 203387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -1103?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 9:30 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ollo when four letters picked without replacement from {l: 3, o: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or -7\/41?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.19922 micrograms in grams?\nAnswer: 0.00007319922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**5\/3 + 4*m**4\/15 + 2*m**3 - 32*m**2\/15 + 8*m\/15 = 0. Calculate m.\nAnswer: -2, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/(-3) + 3 + (-21463)\/(-7332) and -23\/1410.\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 282*y**2 - 281*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 315*t**5 - t**3 + 25521*t**2.\nAnswer: 18900*t**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4 + ((sqrt(171) + -2*(sqrt(171) - (1*sqrt(171) + sqrt(171))))*5)\/(sqrt(45)\/(sqrt(5) - (sqrt(40)\/(sqrt(16)\/sqrt(2)) + sqrt(5))))*-2)**2.\nAnswer: -540*sqrt(19) + 17181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -8*x**2 + 152*x - 444. Calculate h(3).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 3*d + 2*d + 153, -93 = -3*n - d. Let f = n + -27. Put f, -2, -4 in descending order.\nAnswer: f, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 5*d - 12, 3*y + 5*d = 1 + 15. Solve -22 = -y*i - 26 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 45, 63, 81?\n\"Answer: 18*p + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 17103933, 34207865, 51311797, 68415729, 85519661?\n\"Answer: 17103932*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1918473 less than 94673410?\nAnswer: 92754937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f + 17. Let w be o(8). Let d be (7 - 5) + (w - 1). Let x(v) = v**3 + 13*v**2 - 17*v - 45. Let k be x(-14). Put d, k, 4, 11 in descending order.\nAnswer: 11, 4, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34204 (base 8) in base 15?\nAnswer: 4448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24228.093 months in years?\nAnswer: 2019.00775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 608529 in -0.1, -8, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 16*q - 6. What is s(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 149377296 a multiple of 6056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6171*p**3*t**5 - 5*p**3*t + 2784*p**2*t**2 - 2*t**5 + t**2 wrt t?\nAnswer: -370260*p**3*t**2 - 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17205 is divided by 5734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 2*q + 3. Let v be n(-2). Let z = -64\/5 + 596\/45. Which is the second biggest value? (a) v (b) z (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + g = 66. Calculate the remainder when 96 is divided by g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2100011011 (base 3) in base 14?\nAnswer: 12ac7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/((-25)\/6)*130\/(-78). Let j be t\/9 - (-2 + 568\/(-36)). Let z = j - 13. Solve 10 = z*i - 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7763 - -7781. Solve 23*m - 29*m = s for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-162)\/63)\/(((-2)\/(-2))\/((-56)\/8)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w = 6*w + 5751. Suppose -3*j + 657 = 4*f - 0*f, 3*j - w = 2*f. Suppose -s - k = -3*s - j, -2*s - 218 = -4*k. What is s rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 7, 5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 2*u - 46, -2*t + u = -5 - 14. Does 4 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and 49.06094?\nAnswer: 51.06094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*j - 68 - 28*j + 13*j)*(1 - 1 - 2*j**3) in the form w*j**2 + x + n*j + l*j**3 + a*j**4 and give l.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) -0.4 (c) -0.5 (d) 3 (e) 1 (f) 2.44\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**3\/2 - 11*k**2 - 23*k\/2 = 0.\nAnswer: -1, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, n: 4, j: 8}. What is prob of sequence nn?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/7, -2, -13, 0.3, 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3499 divided by 3.\nAnswer: 3499\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1515567*k**2 - 5194509*k**2 - 2132828*k**2.\nAnswer: -8842904*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1271.\nAnswer: 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**4\/3 + 376*b**3\/3 - 31045290*b**2 - 169064240400*b - 256844546393625 = 0.\nAnswer: -4035, 11729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4896 and 0.2.\nAnswer: 979.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 75 = 0, -2*v - 84*a + 60*a = -62*a + 578 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 o when three letters picked without replacement from {d: 6, o: 6, q: 3}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 212796528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -m**5\/90 - 9*m**2 + 17*m. Let p(o) be the first derivative of g(o). Factor p(k).\nAnswer: -2*k**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -64*r + 14. Is 5 a factor of v(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4 + sqrt(275) + -5 + (-3*sqrt(275))**2 + 3.\nAnswer: 5*sqrt(11) + 2467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -j + 74 - 75, 13*n - 39 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 7*j**3\/3 - 43. Let s(b) = b**2 - 3*b + 1. Let w be s(4). Suppose -13 = -5*g + 4*t, -4*g + 5*t + 9 = -w. What is x(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -90*i + 93*i + 276, -3*v + 7*i + 3*i = -739 - 212 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/5 of a microsecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.2 - -2. Let r = -1.2 + k. Which is the smallest value? (a) 2\/11 (b) 2\/5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.03 + -0.27. Let v = 71 + -71. Let m = v + a. Which is smaller: -2\/7 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -14 - 16 + 0*h + 54 - 23 - h. Let s(z) = -2*z - 4. Determine 3*a(f) - s(f).\nAnswer: -f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 11) to base 9.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71111 and 145417812.\nAnswer: 4183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11442 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4095 - 4417 = -14*s for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1404000 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11509 and -0.1?\nAnswer: -1150.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-290)\/25)\/((-4)\/40). Is r greater than or equal to 115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 928*c**2 + 20460*c + 976. What is r(-22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 166 = 2*y, 0 = -u + 3*y + 2*y + 63. Suppose 5*t = 3*j - 135, 2*j = 9*t - 5*t + u. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*g - 35*g + 38 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-2*sqrt(84))\/(sqrt(384) - (sqrt(384) + sqrt(384)*-1 - sqrt(384))))\/(4*sqrt(200)*-2*6).\nAnswer: -sqrt(7)\/960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 5, 15, 12, -2, 23, 1.\nAnswer: -2, 1, 5, 12, 15, 23, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -f + 35, -f - 2*b = -0*b. Suppose 6*o - f*o + 28 = 0. Suppose -5347 = -o*p + 9822. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -599*n**3 + 601*n**3 + 57 - 57.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 3*v = v + 1888, -v + 472 = t. Suppose -2*x - t = 6*x. Let l = -55 - x. What is the smallest common multiple of l and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 7 - 0) + 9 + -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.09872 - 0.1. Let h = 0 - x. What is h rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 212715?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -2*i + i - 3*o, -2*i + 2*o + 2 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38111666 is divided by 796.\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 6244 divide 367883992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52252 is divided by 3296.\nAnswer: 2812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5365, -5365, -5367, -5371, -5377, -5385, -5395?\n\"Answer: -f**2 + 3*f - 5367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.451 rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.508 to 0 decimal places.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58 and 142912?\nAnswer: 142912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/3*h**3 - 4\/3*h**4 - 16\/3*h + 28\/3*h**2 + 0 = 0. Calculate h.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2659285904 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147 and 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 166 + -167. What is the nearest to p in -0.1, 2\/7, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79 + 51. Let k be -2 - (-280 + -2)\/(-3). List the prime factors of k\/p - (-6)\/(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30688\/(-5124) + (221\/39 - -2*(-3)\/(-18))?\nAnswer: 2\/183","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + t - 35, 2*z - 4*t = -68 - 2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 4.0756\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0233 from -517695.\nAnswer: -517694.9767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -25313, -101207, -227683, -404741, -632381, -910603, -1239407?\n\"Answer: -25291*x**2 - 21*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25384 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 g = -665 + 413. Is 63\/g + 1914\/8 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2. Let d(l) = 2*l**2 + l - 6. What is d(x) + 4*p(x)?\nAnswer: -2*x**2 + x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2 - 5*p + 14. Let a be t(-4). Solve 4*g = a*g - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2552 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 a factor of 6901615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22000110 (base 3) to base 10.\nAnswer: 5844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fccz when four letters picked without replacement from {c: 4, z: 1, f: 1, t: 1, w: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 29*m + 277. Let h be r(-9). Solve 8 = 20*u - h*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77782 is divided by 15508.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*z)*(z - 3*z + 4*z) + 4*z**2 - 4*z**2 + 2*z**2 + 0*z**2 + 2*z**2 - 3*z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gtgg when four letters picked without replacement from sggsggsqggggqstsgtgg.\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 53? (a) 4 (b) 5 (c) -2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8835019 grams to nanograms.\nAnswer: 883501900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11405736 by 3.\nAnswer: 3801912","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -8302, -5 in decreasing order.\nAnswer: -1, -2, -5, -8302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0569, 1.2, 5\/6, 0.3, 6.55.\nAnswer: -0.0569, 0.3, 5\/6, 1.2, 6.55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 35.5888 and 18?\nAnswer: 17.5888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.031139139 rounded to 4 decimal places?\nAnswer: 0.0311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 364.3684515 - 0.4.\nAnswer: 363.9684515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u**2 + 4764*u - 1182713. What is p(308)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from unqsnnnznzinnun. Give prob of sequence zun.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*o**4 - 28*o**2 - 1019*o**3 + 21*o + 1007*o**3 - 9*o.\nAnswer: 4*o*(o - 1)*(o + 1)*(7*o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 194011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**3\/9 - 734*s**2\/3 - 244*s + 4400\/9 = 0.\nAnswer: -1100, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.65 (b) 0.5 (c) 4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - 2)*1\/3. Let k = -1\/247 - 491\/741. Which is the fourth biggest value? (a) 2 (b) k (c) 0.8 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1036738.\nAnswer: 2, 257, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -290, -291, -302, -329, -378, -455, -566, -717?\n\"Answer: -d**3 + d**2 + 3*d - 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(33)\/sqrt(48) + -4*sqrt(99)*2)*-5.\nAnswer: 125*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*h - 30*h + 117 + 768 - 5*h + 0*h + 3*h + (0 + 2 - 3)*(-h + 3*h - h) + 3*h + 0 + 0 + 3*h - h + 0*h.\nAnswer: 4*h + 885","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5515841 is divided by 201.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 44722500 rounded to the nearest one hundred thousand?\nAnswer: 44700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -509 and 0.09.\nAnswer: -45.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 76408.43 nanograms in tonnes?\nAnswer: 0.00000000007640843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 84*y - 4. Let b(i) = -43*i + 1. Let z(q) = -7*b(q) - 3*c(q). Let p be (-69)\/(-9) - (-2)\/6. Is z(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 189 = -10*v. Let l = v - 26. Let k = -2.1 + 2.1. Which is bigger: l or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 131.4 + -17.4. Let s = -118 + r. What is the biggest value in s, 3, 1\/5, -3\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 4 = -q, -5*q - d - 20 = -0*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j + 4 - 3*j + j - 3*j + j - j + (j - 3*j + 0*j)*(-4 + 0 + 3).\nAnswer: j + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 6054558210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*v - 100*v - v**2 + 292*v - 93*v.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 81470 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-206 - 258 - 860)*(2*o + 0*o - 5*o).\nAnswer: 3972*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1000 (base 2) to base 16\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 2*f)*(1 - 1 - 2) + 0 + 2*f + 0)*(1 - 4 + 9)*(-3 + 4 + 0).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -13*p**7 - 11*p**3\/3 - p**2 - 2411*p. What is the second derivative of r(h) wrt h?\nAnswer: -10920*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -242 in 67, -5, -1\/6, -0.4, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 + 702 = 13*w. Suppose -4*a = -3*a - 3*z + w, 0 = -3*a - 5*z - 68. Sort -2\/19, a, 0 in increasing order.\nAnswer: a, -2\/19, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -w**4\/4 + 171*w**3\/2 + 87*w + 10. Let h(n) = 0. Calculate n.\nAnswer: 0, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, j: 2, p: 4, s: 1}. What is prob of picking 2 j?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/1080)\/(22\/308*-7)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*c - 54*c + 3 + 26*c)*(3*c - 3*c + 2*c)*(2*c + 5*c - 5*c).\nAnswer: 16*c**3 + 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1038700 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*2)\/((-2)\/(-3)). Let p be (-8)\/d - 2\/(-3). Let u be (0 + p + -1118)*50. What is u rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1238712*u - 2697194 + 2697194 - 1238716*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1080033 to three dps.\nAnswer: 0.108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**0\/c*c)\/c)\/c)\/((c*c**9*c)\/c)*(c\/((c*c*c\/c**7*c)\/c))**(2\/15) assuming c is positive.\nAnswer: c**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnenmennddm. What is prob of sequence ddn?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 16 = -2*s, -j = -1 + 5. Suppose 2*t + s*t = 8. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + u**2 - u - 4. Let t be y(0). Let z be (-8)\/28 - 52\/(-112). Let a = z - -11\/252. Sort t, a, 0.4 in ascending order.\nAnswer: t, a, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -835.628 + 836. Round s to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -22 + c51?\nAnswer: c2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 + 68. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 533 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51911*s - 23796 = 51394*s + 29972 for s.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = c + f + 3, 5*f - 3 = c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -27*l**3 + 5*l + 79. Let x(m) = 5*m**3 - m - 16. Let v(a) = 2*d(a) + 11*x(a). What is v(0)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.896 + -0.104. Put -14, 5, d, -1\/4 in descending order.\nAnswer: 5, -1\/4, d, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 56*q + 30. Let s(z) = -5*z + 1. Let y(j) = -j. Let g(d) = -s(d) + 6*y(d). Let w(a) = -2*f(a) - 22*g(a). What is the first derivative of w(o) wrt o?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgsbg. What is prob of picking 1 f and 1 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/3*261\/(-116). Suppose 126 = 4*x - w*m, x + m = -3*m + 22. What is the greatest common factor of x and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v + 2. Let a(n) be the first derivative of 7\/2*n**2 - 4 + 5*n. Let d(g) = -2*a(g) + 5*s(g). Give d(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -818*t**2 - 17*t + 163508?\nAnswer: -1636*t - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1445 + 1446.762. Let t = 1.8 - q. What is t rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yxyxyjryymxyvyry. Give prob of sequence rjmr.\nAnswer: 1\/21840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 87\/27 + (-4)\/18. Suppose 6*c = 4*c + 4. Is c equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 19*o**2 + 13*o + 5. Let z(f) = f**2 - 5*f - 9. Let w be z(7). What is the remainder when u(-18) is divided by 161\/w + 2\/(-10)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(1\/2)*m*m)**(-4\/15) assuming m is positive.\nAnswer: m**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 1\/5, 408, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, h: 1, q: 7, c: 1, l: 2}. What is prob of picking 3 q and 1 x?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340653 is divided by 53?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -v - 4*u, -38*u - 5 = -33*u for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 - 22. Let y(c) = -c**2 + 21*c - 56. Let u be y(p). Let b(q) = -3*q**2 - 2*q - 1. Determine b(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0)**(3\/40))**18\/(o**(-1)\/(o**(-1\/12)*o*o))**(-19\/2) assuming o is positive.\nAnswer: o**(-665\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.153987504 minus 3.117?\nAnswer: -2.963012496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 513 is divided by 251.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13055 + 13054. Is f less than -10375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -688 in -2\/169, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, k: 1, j: 2, n: 1, a: 1}. Give prob of picking 1 a and 1 x.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i + 56 = -3*i. What is the lowest common multiple of i and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 9820975\nAnswer: -4\/9820975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5067 = -2*p, 3782 = -3*o + 4*p - 11427. What is the tens digit of 6\/14 + o\/(-49)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2648 and 54817241?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2 + x + 1. Let y(c) = -8*c**2 - 22*c + 4. Give -5*r(q) + y(q).\nAnswer: 2*q**2 - 27*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(-14)*w)**(-45)*(w*w**(1\/9))\/(w**(-39)*w))**(-9) assuming w is positive.\nAnswer: w**(-4807)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -7*g**4\/12 + 76*g - 12. Let p(j) be the first derivative of c(j). Let m(w) = -6*w. What is p(m(k))?\nAnswer: -252*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.016 and -33.7.\nAnswer: -0.5392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4168.024686 + -4168. Let m = 0.0246 - f. Round m to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61 - 59. Suppose -i = w*i - 6. Find the third derivative of -37*s**i + 32*s**5 - 6 + 6 + 23*s**2 wrt s.\nAnswer: 1920*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**2 - 6*y - 7. Let k be v(-1). Solve -k*f + f + 5 = 3*d, 0 = 4*d - 5*f + 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17700*g - 2*j = 17707*g - 9, j = 4*g - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a009 (base 11) to base 13.\nAnswer: -26946","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**3*m**2 + 2*b**3 - 694*b**2*m**2*x - b**2*m + 5*b*m + 5*m**2 - 2*m*x + 173 wrt m?\nAnswer: 6*b**3 - 1388*b**2*x + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68141?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**3 + v**3 + 3*v**3 - 2*v + (0*v**2 + 6*v**2 - 3*v**2)*(-15*v - 12*v + 10*v) + (-3 - 24 + 9)*(v - v**3 - v) as y*v**2 + d + c*v**3 + i*v and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -119*j - 766. Give k(-6).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 7. Let h be r(-8). What is the remainder when 135 is divided by (-23)\/((h + 5)\/(-4))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12950 and 525?\nAnswer: 38850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**4 - 2*z + 7*z**4 - 3*z**3 + 2 - 12*z**4 as o + d*z**2 + c*z**3 + t*z**4 + h*z and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 1:03 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1604\/(-8421) + (-4529)\/147.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-126)\/(-180)*(-104)\/(-14)*(-60)\/(-24)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = -2*h + 3*k, 10 = 5*h + k. Suppose 2*y = h*r + 58, 3*r - 67 = -3*y - 10. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q + 2*q = 14*q - 32 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqwbwqwbqqbqw. What is prob of sequence bf?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2872*t - 100521. Give n(-35).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 114\/19*(-2)\/(-8)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 15 * -0.1187\nAnswer: -1.7805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4118.2 and -0.1.\nAnswer: -411.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -2, 0, 4, 1, -246 in decreasing order.\nAnswer: 4, 2, 1, 0, -2, -4, -246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 286, 289, 292, 295, 298, 301?\nAnswer: 304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000109637 rounded to seven dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 32*y - 11. Let l(t) = -6*t - 219. Let r be l(-37). Let h be c(r). Is 86 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 21\/(-18) + (-11)\/(22\/(-3)). Solve 4\/3 + j*b**3 - b**2 + 0*b = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 304, 2524, 8560, 20320, 39712, 68644, 109024, 162760?\nAnswer: 231760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 10 = -2*v, 2*v - 8 + 0 = 4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 88.96 - 0.96. Sort 0.2, 1, 0.4, i in decreasing order.\nAnswer: i, 1, 0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**3 + 26*d**2 - 29*d - 23. Let h be t(-14). Suppose i + 22 + 4 = 0. Let v = i + 16. Which is greater: h or v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -31 - 13. Suppose 6*o = z*o. Solve v = -o*v - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*v**2 - 4 + 9 - 6.\nAnswer: 17*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1548 + 197 - 856 + 1690 + 1261)*(-3*t**3 + 2 - 2) to v + g*t**3 + u*t**2 + d*t and give g.\nAnswer: -11520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00086484735 rounded to five decimal places?\nAnswer: -0.00086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y - 2. Give q(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 353662 (base 7) to base 5.\nAnswer: 4020133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (6\/(-4))\/((-9)\/18). Suppose -j*k - 40 = -3*o - 9, -6 = 2*o + 2*k. Factor 4\/5*i - 2\/5*i**o - 2\/5.\nAnswer: -2*(i - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + 4 - 4)*(-4*a**4 + a + 23*a**3 - 23*a**3).\nAnswer: 20*a**5 - 5*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 550112?\nAnswer: 2, 17191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l**4 + 106*l**3 - 3544*l**2 + 1400*l = 0 for l.\nAnswer: -25, 0, 2\/5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 748*q. Let b(y) be the first derivative of 11*y**2\/2 - 5357. What is r(b(w))?\nAnswer: 8228*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 8*u + 90 = 0. Suppose -9*v = -8*v - 30. Let h be (-78)\/u + (-3)\/(v\/(-4)). Which is bigger: -2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -16, -1233, -1, -92 in ascending order.\nAnswer: -1233, -92, -16, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 344 and -1.\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6644 and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 106479 + 4?\nAnswer: 106483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1068595 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13352\/11 - 1213. Let n = 104032244\/97287 - 4\/32429. Let c = n + -1080. What is the common denominator of c and w?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 8:18 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -3*k**4\/5 - 102*k**3\/5 + 969*k**2\/5 - 324*k + 756\/5 = 0.\nAnswer: -42, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4722571745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 337, 334, 331?\n\"Answer: -3*r + 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1053258.391 to the nearest ten thousand.\nAnswer: 1050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 16*k + 20. Let g be o(-17). Differentiate -1 - g + 5*u**2 + 5*u**2 + 8 wrt u.\nAnswer: 20*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.47734 micrograms in grams?\nAnswer: 0.00000647734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -288 - -292. Suppose 2*q = 4*h - 140, 2*q + 138 = g*h - q. Calculate the remainder when 69 is divided by h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or 0.078100956?\nAnswer: 0.078100956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -75, 2\/11, -2\/417, -11?\nAnswer: -2\/417","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and -345.48442.\nAnswer: -344.48442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - -14. Let s be 0\/(5\/((-10)\/4)). Suppose -5*l = s, 0 = -4*n - l + 5*l + z. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + 1 + sqrt(1100) + -3)**2 - (-2 + sqrt(1100) + 3 + 1*sqrt(1100)*2)) + -1.\nAnswer: -230*sqrt(11) + 5518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76988 is divided by 223?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 6617, -1\/6, 0.2, 2\/7, 6 in increasing order.\nAnswer: -1\/6, 0.2, 2\/7, 6, 6617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47 - -47. Let u = 496\/1687 - 2\/241. Let v = -6.85 + 5.85. Which is the closest to u? (a) v (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3\/2, -3 in ascending order.\nAnswer: -3, -3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207 - 186 = -5*q + 32. Solve -5*p - 125 + q = 0 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/6)\/(12807\/572046).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 * -10145401\nAnswer: 81163208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nann when four letters picked without replacement from {i: 1, s: 3, a: 11, n: 4}?\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**2 + 0*l**2 + 4*l**2 + (3*l**2 - 4*l**2 + 2*l**2)*(2 + 4 - 5) + 3 - 3 + 2*l**2.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 0, -15, -30, -45, -60?\n\"Answer: -15*c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 l, and 1 k when four letters picked without replacement from rrrokioilyi?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of h**2 + 31. Let l(o) be the first derivative of -7*o**2\/2 - 11. Calculate w(l(u)).\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.72 + -164.48. Round w to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a86 (base 16) to base 5\nAnswer: -41234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1294 - 53*h**2 - 1294 + 23*h**2 + 21*h**2.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 267 - 269. Is 639940\/224 - (34\/(-16) - f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d = 10*d - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(64) - -1*(2*sqrt(64) + sqrt(64)))\/sqrt(4))\/(-3*1*sqrt(512)))**2.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2210 is divided by 148?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 plus -267529321?\nAnswer: -267529277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v**3 - 39*v**2 + 11*v + 6. Give s(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3450072692 minus -7?\nAnswer: 3450072699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y - 3*y + 3*y - 6*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 930916770?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.5469 + -4.0469. What is the closest to -5 in 2\/13, 182\/3, b, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 15664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 529*q**2 - q - 172*q**2 - 180*q**2 + 2 + 23 + 2*q**3 - 176*q**2 to u*q**2 + r*q + k + h*q**3 and give k.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -4482.2983 to the nearest 100.\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2914748458?\nAnswer: 2, 8431, 172859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - 5. Let u = 41 + t. Solve u*x = -9 - 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*(n*n\/(n\/(n*n*n**7\/n)))\/n*n**7*n**3*n**(-5)*n*n assuming n is positive.\nAnswer: n**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40706 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84\/35*1\/(-3).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (42*p + 38*p - 76*p - 4)*(-2 + 0 + 1) in the form u + l*p and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -10*i + 1527. Let c(x) = -2*x + 381. Calculate 9*c(a) - 2*z(a).\nAnswer: 2*a + 375","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**2 + 258*i + 257 = 0.\nAnswer: -257, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14 - 113*y - 105*y**2 + 5*y**3 - 81 + 308*y.\nAnswer: 5*(y - 19)*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 1004*w + 11163. Determine u(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59\/34 + -38\/17. What is the nearest to -0.9 in m, 1, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w**2 + w - 3. Let p(k) = k**3 - 5*k**2 - 13*k + 48. Let v be p(5). Let j(d) = -11*d**2 + 3*d - 8. Determine v*n(z) + 6*j(z).\nAnswer: 2*z**2 + z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -1. Suppose 57 = m + u*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.53 - 31.83. Let o = 30.3 + u. Which is the nearest to 0.1? (a) -2\/5 (b) -1\/8 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39777\/43 greater than -925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pyhppfppoxxxf. What is prob of picking 1 p and 1 f?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 8 = -6*p + 8*p, 5 + 11 = -4*l. Let r be (-3 - 0)\/(3\/(-5)). Suppose -r*s = -7 + 22. Which is the second biggest value? (a) 0.1 (b) s (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3376294, -3376296, -3376298, -3376300?\nAnswer: -3376302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d - 21. Let i(r) = 286*r - 352. Let p(h) = -19*h + 24. Let f(s) = 3*i(s) + 44*p(s). Determine f(g(k)).\nAnswer: -44*k - 462","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 - c - 3. What is p(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, e: 5, k: 2, m: 2, f: 1, y: 2}. What is prob of picking 1 e and 1 m?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*f**4 + 2*f**2*u - 7372*u wrt f.\nAnswer: 84*f**3 + 4*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -24*b**2 - 13*b + 28. Let i(z) = -73*z**2 - 37*z + 83. Let a(h) = 2*i(h) - 7*p(h). Is a(3) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19.15 - -19. Let x = 0.15 - z. Which is the second smallest value? (a) x (b) 3\/4 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 825, 138, -5, 5 in decreasing order.\nAnswer: 825, 138, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -5*c**4\/12 + 2*c**2. Let y be (-4)\/22 + (-6)\/(-33). Let r(w) = -4*w - w**2 + y*w**2 + 4*w. What is g(r(j))?\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + c + 5, -15 = -21*y + 20*y + 3*c for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 7*m**2 + 28*m + 4. Let b be c(-4). Suppose -4*g + 20 = f, -33*f - 56 = -37*f - b*g. Calculate the lowest common multiple of 12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/144)\/(3 - (-1674)\/(-552))?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -7*l**2 + 13*l + 3. Let j(k) = 48*k**2 - 92*k - 20. Let i(r) = 3*j(r) + 20*p(r). Factor i(u).\nAnswer: 4*u*(u - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**5\/60 - j**4\/24 - 5*j**3\/6 - j**2\/2 - 3*j. Let o(w) be the first derivative of g(w). Suppose 3*p = -0*p. Calculate o(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/32 and 83\/172615924?\nAnswer: 1380927392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 293 - v + 337 - 269 + 461 + 2*v**2 to l*v + z*v**2 + j and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/40)\/((-1)\/(-548)). Suppose a + 15 = 4*t. Calculate the remainder when 187 is divided by t.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -1 + sqrt(1088))**2 + 4 + sqrt(17)*-2.\nAnswer: -20*sqrt(17) + 1382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 21, -5\/3, -3, 36, 40.\nAnswer: -3, -5\/3, -0.5, 21, 36, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/11*j - 32\/11 + 2\/11*j**3 + 14\/11*j**2.\nAnswer: 2*(j - 1)*(j + 4)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**2 - 8*v - 24. Let l(y) = y**2 - 1. Let j(w) = -h(w) + 3*l(w). Let z be j(-2). Solve -2*c - 9 = -4*r + c, r - 4*c = -z for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/7 + 272464*t\/7 - 9279578912\/7.\nAnswer: -2*(t - 68116)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2 - 8*q + 37. Let i be d(-6). Solve -4*w + i - 2 = 3*v, 4*v - 21 = w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 0*q + 47*q**2 + 0*q**6 + 0*q**5 + 13\/24*q**4 + 0 + 1\/105*q**7 + 17\/3*q**3. Differentiate m(j) wrt j.\nAnswer: 8*j**3 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wrw when three letters picked without replacement from wiwwmrccircrxmmrri.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u = -11*u + 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 44*t**5 - 1109468*t**4 + 2420156*t**3 + 7362076*t**2 + 3025592*t - 806816 = 0. Calculate t.\nAnswer: -1, 2\/11, 4, 25213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2447, -2350, -2107, -1646, -895?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-250)\/(-15) - (-4)\/(-6). Suppose 0 = -13*q - 2*q + 285. Suppose -w*r - 21 = -q*r. Is r even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9928 + 4?\nAnswer: 9932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -89905.282?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31738 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 10*x - 4. Let y(q) = -21*q + 9. Calculate 9*m(j) + 4*y(j).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 7:44 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v + v + 2*q + 4 + 8, 0 = -41849*q + 41851*q + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, d: 1, m: 2}. What is prob of sequence de?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/6*2\/6. Suppose -4*i + h - 19 = 0, -15 = 8*i - 6*i + 5*h. Which is the fourth biggest value? (a) i (b) 0.3 (c) -0.3 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 407 + (22 - 5 - 8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.93 - 0.07. Let y be ((-16)\/(-20))\/(34\/5). Which is the second smallest value? (a) o (b) 0.06 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a*a**(3\/13)))**50\/(a*a**(10\/9)*a)**(-6\/35) assuming a is positive.\nAnswer: a**(-11896\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 1.5 (b) 1.03236 (c) 5\/6 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4*(1*sqrt(5) + 4))**2.\nAnswer: 128*sqrt(5) + 339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two fifteenths of a hour?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-20)\/8)*(-10)\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-10)*255\/(-34). Solve -d + 3*v = -g, -d - 3 = -2*v - 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -113*w**2 + 3 - 3 + 227*w**2 - 116*w**2. Let y(h) = -1921*h**2. What is d(y(n))?\nAnswer: -7380482*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 953*x - 962*x = 4*d - 19432, -6433 = -3*x + 5*d. What is the least common multiple of 140 and x?\nAnswer: 10780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2177 - 2177 - 1302840*q**2.\nAnswer: -1302840*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 96*q + 786. Give d(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 228 or 230?\nAnswer: 230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/4561 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**4 - 3*i**4 + 3*i**4 + (2 - 2 + i**2)*(2*i**2 + 51*i - 54*i + 17*i**2).\nAnswer: 20*i**4 - 3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20523*h**4 + 23572 wrt h?\nAnswer: 82092*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 118.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1624751 - -1624753. Factor -1\/2*m**v - 1\/8*m**3 + 0 - 3\/8*m.\nAnswer: -m*(m + 1)*(m + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5 + 12 - 2*j - 7 + 4*j. Let n(i) = 429*i. Give h(n(x)).\nAnswer: 858*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 92*y**2 + 14 - 13*y**4 - 6*y**4 + y**3 - 92*y**2 + 5*y**4 in the form g + x*y**3 + h*y**2 + o*y + s*y**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 5:51 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 8:38 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwnfwnpwfwww. Give prob of picking 2 n, 1 p, and 1 f.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.7 in 1, 2\/3, 9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -5 - (3 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(1\/2)*a*a)\/a)**(7\/9))**(-1\/17)*(a*a\/(a*a**2))\/(a**(-4)\/a)*a**(1\/8)*a**3 assuming a is positive.\nAnswer: a**(2879\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(462\/42))\/(1\/(-47)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 21 = 3*k + 5*u, 0 = 5*k - 2*u - 4. Find the second derivative of 2*l + 0*l - 2*l**2 + l + 0*l**k wrt l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(45\/(-10))*5\/10. What is the biggest value in 4, -4, -0.05, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -267, -967, -1667, -2367, -3067, -3767?\nAnswer: -4467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and 843.53.\nAnswer: 843.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (176 + -171 - (8 + 0)) + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + g + 6. Let m be o(0). Suppose 0 = -0*j - 2*j + 5*t, -25 = -3*j - 5*t. Suppose -j*c = -106 + m. Solve 0*f + 5*f - c = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + -3074880.4153.\nAnswer: -3074877.4153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67 + 25 - 354)*(-2 + 2 - 2*n).\nAnswer: 792*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 26 - 21*g**2 - 22 + 2*g**3 - 97*g + 57*g**2 + 0*g**3 + 22. Is p(-19) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 2\/9 (c) -74\/9 (d) 0.4 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 73396180?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 78 = 2*f + 4*a, -4*f + 111 = -a. What is the common denominator of -58\/9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 + 40.999985. Round u to six dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155 = 27*w + 34 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 70.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 o when two letters picked without replacement from {k: 1, l: 2, w: 2, o: 1, e: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-3*(sqrt(171)\/(sqrt(18)\/sqrt(2)) + sqrt(19) - sqrt(19))*3)**2 + 3).\nAnswer: 3084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a + 8*a**3 - a + 36*a**4 + 4 - 2*a**2 - 3 - 8*a**3 to u + m*a + x*a**4 + q*a**2 + j*a**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 485576932*a*v - 12447*a + 2417 wrt v?\nAnswer: 485576932*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d. Let v(f) = 5*f - 2. Let h(i) = 1. Let n(w) = -2*h(w) - v(w). Calculate a(n(r)).\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 140 and 368.\nAnswer: 51520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2 - 105*f + f**3 + f**2 + 106*f + 1. Let n be g(0). Sort -4, -2, n.\nAnswer: -4, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 7279155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5000416 + 2?\nAnswer: -5000414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - k + k)*(-8 - 11 + 5) + (4*k - 5*k - k)*(-3 - 1 + 6).\nAnswer: -60*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5372*22\nAnswer: -118184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 110519362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 5846066.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 12:55 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 + 16 - 98 = -38*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 37*c + 96. What is i(44)?\nAnswer: 404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*n - 324*n + 211*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**3\/7 - 34*c**2 - 100*c - 464\/7 = 0. What is c?\nAnswer: -116, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 10 - (-1 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 2*w + 4*p, -w + 5*p + 22 = 3*p. Suppose -k + w = -0*k. Let f = k - 24. Sort 3, f, -1 in decreasing order.\nAnswer: 3, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*q - q**2 + 0*q**2 - q - 9*q - 7*q - 3 in the form m*q**2 + y*q + w and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 12:41 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -11465\/18141 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000019764132 rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(2*2\/(-36)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4005 - -14?\nAnswer: 4019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/550 and -67\/2350?\nAnswer: 25850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -14. Let s = 1 - -4. Solve 3*f = s*a - 9, 2*f - g = -5*a + 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*-2*3*(3 + (6*(3 + (sqrt(5) - sqrt(5)*1)))**2).\nAnswer: 3924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-6) + (-651)\/(-45). Let w = -184997\/10 - -18515. Let b = w - s. What is the second smallest value in 4, 0.2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 11:50 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 804523?\nAnswer: 804523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = n + 9. Suppose 7*u - n*u - 56 = 0. What is the lowest common multiple of 22 and u?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {c: 2, v: 2, u: 1, a: 1, d: 1, e: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89767517.\nAnswer: 7, 191, 67141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {b: 4, d: 14}.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wdndwdnw. What is prob of sequence ddn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24071 or -22509?\nAnswer: -24071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6499, -26055, -58665, -104329, -163047?\nAnswer: -234819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - -1) + (2 + -12 + 15 - 4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 21 - 13 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.1 (c) -0.0313 (d) 0.1 (e) 2 (f) 2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2bd4114 + -5?\nAnswer: 2bd410d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.75413353899 - -42.\nAnswer: 42.75413353899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-22)\/(-4) + (-757)\/1514. Solve -2*c - j = 7, -21*c = -24*c - v*j - 14 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7730271 kilograms in micrograms?\nAnswer: 773027100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.58 (b) 27053 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -205, -207, -209, -211, -213, -215?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-4*(-18)\/(-120)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2294485?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0044267 rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11\/((-165)\/9) + (-56)\/(-10). Which is the closest to -4? (a) 1 (b) 1\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/((-6)\/(-3)))\/(30\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17466 is divided by 62.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*s**2 - 56*s**3 + 19*s**2 - 38*s**2 + 5*s**3 - 29*s**2.\nAnswer: -51*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17d0c7c5 + -3?\nAnswer: -17d0c7c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 107. Suppose 50 + 10 = -x. Let d = x + c. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 2*o**5\/15 + 7*o**4\/4 - 40*o**3\/9 + 3*o**2\/2 - 2*o - 505. Factor i(t).\nAnswer: (t - 1)*(t + 9)*(8*t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -32*j + 35*j. Suppose -j*n + 3*n - 18 = w, 4*n + 29 = -3*w. Let k be (1\/(-4))\/((-6)\/8). Which is the third biggest value? (a) 2\/13 (b) k (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**3 + 2390*q**2 + 1039376*q + 1036984 = 0.\nAnswer: -338, -1, 1534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17946 = -17*y + 5157. Does 46 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y + 8. Let m be z(10). Let p be -2*(-6)\/16 - 136\/m. Suppose 264 = 6*g + p*g. What is the greatest common divisor of g and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -22486140*f. Let t(s) = -10*s. Calculate t(a(y)).\nAnswer: 224861400*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6403 at least as big as 1401944\/219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*z - 3 = 0, 5*a + 2*z - 8 - 7 = 0. Let j(p) be the first derivative of -4\/3*p**a - p**4 + 2*p**2 - 7 + 4\/5*p**5 + 0*p. Factor j(x).\nAnswer: 4*x*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 285 = 3*z + 426, 5*d - 703 = 3*z. Let i = z + 513. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*1*3\/(-3). Solve 0 = -5*c + b*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 25*x + 112 = -9848. Is x a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83588 = 14*h - 33*h + 8937. Are -3928 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -33*x**2 + 8*x + 40. Let d(s) = 26*s**2 - 6*s - 41. Let q(l) = 6*d(l) + 5*w(l). Let n(f) = -2*f**2. What is q(n(o))?\nAnswer: -36*o**4 - 8*o**2 - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1056447851.\nAnswer: 521, 2027731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a - 8. Let d be s(-8). Suppose -2*z + 24 = 5*o - 0*z, d = 5*o - z - 18. Suppose -4*m - o*q + q = -2099, 4*q = -4*m + 2104. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 14 + 6. What is the least common multiple of 5 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3\/3 - 121716*r**2 - 2777832980*r - 8333133796\/3.\nAnswer: -4*(r + 1)*(r + 45643)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5*d**2 - d**3 - 5*d + 0*d + 34 - 34. Let r be u(-4). Solve o = -w + 4 - 2, -r*o + w = 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -9*g**2 - g**3 - 10*g - 10*g**3 - 12 + 10*g**3. Let s be x(-8). Let j(u) = -u**3 + 4*u**2 + u - 3. Let w be j(s). Solve 5*a - w = 14 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -0.7 (c) -1\/5 (d) -0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/132300 and 71\/675.\nAnswer: 132300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((8\/28)\/((-1)\/7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*t**3 + 8 - 8.\nAnswer: 14*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 274244 or 2742429\/10?\nAnswer: 274244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 505909 and 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 - -65. Calculate the remainder when 72\/m*(-40)\/(-3) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/53? (a) 0.1 (b) -3 (c) 0.3 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*r + 270*r = 440 for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 4\/5, 0, 0.4, 13\/25, 0.29.\nAnswer: -2\/7, 0, 0.29, 0.4, 13\/25, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2208873389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113100310 - -12?\nAnswer: -113100232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25288978.\nAnswer: 2, 11, 13, 88423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 27 + -20 - 1507\/215. What is the smallest value in 0.4, b, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.9049443 + -0.905. What is a rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-12)*(-5 + 2). Suppose -3*p - i = -r, -2*p + 0*r = -4*r + 8. Let h(k) = -3*k - 5. Let o be h(-6). Solve p = 2*f + y - 4 - 7, 2*y = -f + o for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzhh when four letters picked without replacement from zhqhznh?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111594 is divided by 1856.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7272755 is divided by 2105?\nAnswer: 2085","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 21*u - 4. Let q(b) = 4*b - 1. Let t(c) = -2*h(c) + 11*q(c). Determine t(-8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2929.597 milligrams in tonnes?\nAnswer: 0.000002929597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168142 is divided by 167326.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 385314.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -31, 2\/9, -2, 15, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 192*g - 6771 + 6963 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*b*l**3 + b*l + 2*b + 423*l**4 + 13*l**3 + 8270*l**2 + 9*l wrt l?\nAnswer: 36*b + 10152*l + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 4405 + -2938. What is the least common multiple of 5 and y?\nAnswer: 7335","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/4 - 237*p**2\/4 + 239*p\/2.\nAnswer: -p*(p - 2)*(p + 239)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 2.1. Which is the closest to 29? (a) 0.2 (b) -0.1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -860701 at least as big as -860694?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5*c = -3 - 3, 4*c + 16 = -4*v. What is the units digit of (2*167)\/(0 - v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 525947230 to the nearest integer?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1023012 (base 4) to base 5\nAnswer: -123211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41011824.\nAnswer: 2, 3, 7, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 4:23 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 = 41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 62*h - 60593 = 0. Calculate the greatest common factor of h and 711.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**4 + 2*i**3 - i**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 867664016?\nAnswer: 2, 54229001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 32*r**2 - 32*r - 28. Let x be f(-31). Let b(j) be the first derivative of 0*j**2 - 1\/3*j + 1\/9*j**3 - x. Factor b(p).\nAnswer: (p - 1)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*w = -94*w - 30 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 281, 278, 273, 266, 257, 246?\nAnswer: 233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.8891 - -0.88. Round q to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -29526 (b) 2 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 5*p - 3, 0*m - p = m - 1. Solve 5*i + 3 + m = 4*j, -5*i = -j - 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/(-4)*32\/(-24) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - j + 28 = 2*y, 4*y - 3*j = -29. Let k = y + 5. Suppose -6 = 3*h - k. Let x(a) = 2*a. What is x(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61828 is divided by 7723?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, s: 5, j: 9, c: 1}. What is prob of sequence sjej?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3989?\nAnswer: 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/65 and -29\/532200.\nAnswer: 6918600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2661 a factor of 105367617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 7*i - 6. Let r be m(6). Let j be -8 + 9 + (20 - r). Let y = -14 + j. Calculate the greatest common factor of y and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 2*q - 3*q = -q + 2*q - 34, -5*o - 12*q = -5*q - 69 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2112 and 20042.\nAnswer: 1924032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 632\/395*(-2)\/8\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -22b (base 13) to base 15\nAnswer: -1a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -37*s**3 - 199*s**2 - 15*s - 94. What is l(-5)?\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1877435, -3754904, -5632373?\nAnswer: -7509842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - 2. Let w(h) = -7*h - 20. Let b(u) = 3*u + 10. Let i(a) = 13*b(a) + 6*w(a). What is the units digit of i(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/5929 and -89\/147378?\nAnswer: 1031646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -46*f**2 + 40*f**2 - 15 - 5*f - f**3 - 3. Let n be d(-6). Solve 2*x - 4 = -x - w, x - n = 5*w for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23965.7 + 74033.3. Let g = o - 50068.200022. Let l = 0.6 + g. Round l to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -4*g**2 + 6*g**2 - g**2 + 6*g - 8. Let d be r(9). Solve -2*t = -0*t - 3*n + 13, n = -5*t - d for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 137636891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 18469.\nAnswer: -5\/18469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15467\/54 - -859\/3. Let m = w + 1927\/108. Find the common denominator of -18 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*f - 26*f = 73*f + 25*f - 2744 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 10*s**2 - s - 1. Let z(o) = 21*o**2 - 2*o - 1. Let c(k) = 13*i(k) - 6*z(k). Is c(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8581403139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 15\/4 of a millennium?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11767122 and 7038?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 12.9. Let m = -1 + i. Let o = m - -0.1. Which is smaller: 3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 k when three letters picked without replacement from hkakkkhaaaa?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(2\/9))\/(i*i*i\/(i*i**(-2\/11))*i)*i**8*i*(i\/(i*i**(-1\/6))*i)\/i)**(-3\/23) assuming i is positive.\nAnswer: i**(-1427\/1518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 20 = 8*c - 10*c, -4*l = -3*c + 16. Put -3, 5, l, -1, -191 in descending order.\nAnswer: 5, -1, -3, l, -191","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (13\/((-39)\/18))\/(-1). Let j(u) = 4*u**3 - 6*u**2 + 6*u - 6. Let s(t) = 4*t**3 - 5*t**2 + 5*t - 5. Give c*s(q) - 5*j(q).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n + 381 = 126. Does 34 divide (-4*141)\/(-3) + (13 - n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 160*h**3 - h**2 - 2210 wrt h?\nAnswer: 480*h**2 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooooooooootkoko. What is prob of picking 2 t and 1 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000503 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2295 = -3*p, -3*p + 14 + 1093 = i. Calculate the highest common divisor of 105 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -343406 minus 0.1?\nAnswer: -343406.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -58, -116, -198, -304, -434?\nAnswer: -588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdzwd. What is prob of picking 1 z and 1 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -206, -1, 342873 in decreasing order.\nAnswer: 342873, -1, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - a)*(a**2 + 4*a**2 - 3*a**2) + 2163*a**2 - 2163*a**2 - 106*a**3.\nAnswer: -108*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + n**3 + 0 + 924736*n**2 - 462369*n**2 - 462367*n**2 - 3*n**3.\nAnswer: -2*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 + 20 = -31*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -106233 + r + 106233 - 7*r**2. Let a(q) = 2*q**2. Determine a(x(o)).\nAnswer: 98*o**4 - 28*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2996 and 0.01428.\nAnswer: -42.78288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -90 and 0.22?\nAnswer: -19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/1306?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 28\/3*36\/24. Suppose 0 = -m - u*m + 4500. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1533*v - 1507*v = -1222 for v.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z**2 + 169*z + 347. Determine x(48).\nAnswer: -757","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 6:29 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 4*x**2 - 3*x - 2. Let i be q(3). Let r = 5 - 3. Let m = r - i. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4520, 8760, 12988, 17198, 21384, 25540, 29660, 33738?\n\"Answer: -i**3 + 4247*i + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*j**3 - 3*j**3 - 16*j**2 + 9*j**3 + 2*j + 2 + 0*j**3 - 2*j**4 + 3*j**3 to the form n*j + k*j**2 + h + l*j**4 + o*j**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.52 - 0.08. Let k = z - 0.4. Let r = 61 - 181\/3. Sort r, -0.5, k in decreasing order.\nAnswer: r, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2076696610 and -0.019.\nAnswer: -2076696610.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 5 + 1)*(-7 + 7 - 3*o - 2*o**2) to the form m*o + q + j*o**2 and give j.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130 and 1144?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1278 in 3\/2, -8, -5, -4, 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5177 - -5172. Which is the smallest value? (a) -3\/2 (b) -1\/7 (c) 2\/5 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 56351786 or 56351788?\nAnswer: 56351788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -65 (b) 0.1 (c) 37 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.9275 and -5.5181?\nAnswer: 7.4456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3.17 * 0.3\nAnswer: -0.951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 310601632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + f - 6. Let y(z) = -z**2 - 3*z + 4. Let j be y(f). Solve 0*s + 18 = -b - j*s, 12 = -4*b - s for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -195 + 62. Let k = g + 221. Let w be 20400\/k + 2\/11. Calculate the greatest common factor of 29 and w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 - -40. Suppose -3*x - 3*o + 58 + 59 = 0, l = 2*o. List the prime factors of x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.12? (a) 0.09 (b) 1\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -5*v + 5*q + 156, 0 = q + 2. Let n = v + -244\/9. Which is the biggest value? (a) 0.4 (b) n (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 295*k**2 - 96*k**2 - 89*k**2 - 112*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**7\/42 + o**5\/5 + o**4\/6 - o**3\/2 - o**2 - 71*o - 2. Let c(b) be the first derivative of q(b). Let c(r) = 0. Calculate r.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.01 - -0.23. Let y = 0.28 + k. Sort 3, y, -4.\nAnswer: -4, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -538.1755587 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3\/4 - 8362008*h**2 + 16724019*h.\nAnswer: -3*h*(h - 2)*(h + 11149346)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 100\/(-30))*0\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/((-6174)\/(-28))*-3\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32738344?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -20 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 100101 (base 5) to base 15\nAnswer: e01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 2*t**2 - 3 - 10 as i*t**2 + p*t + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - q**3 - 5*q)*(q**2 - 5 - 11 + 11).\nAnswer: -q**5 + 5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1161 is divided by 64?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-374)\/(-33)*(-525)\/(-1750)?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7091*d + 8371*d + 14547*d to c*d + p and give c.\nAnswer: 30009","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23237562 (base 8) to base 14.\nAnswer: -95ad22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149112.\nAnswer: 2, 3, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 32\/(-14) - 6\/(-21). Let y be (-23)\/(-20) + -2 + n\/5. What is the closest to -1 in 5\/4, 0.4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98, -31, 246, 739, 1454, 2397, 3574?\nAnswer: 4991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -10*u + 68. Let t be m(11). What are the prime factors of (-3)\/t*-4 - 2284\/(-7)?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in decades?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**4\/11 - 838*y**3 + 13842990*y**2\/11 - 8586336150*y\/11 + 1909090323000\/11 = 0.\nAnswer: 735, 2404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 b when two letters picked without replacement from bbkiklbbkblkbbikbb?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 7:35 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16.8 + -0.2. Let z = 9 + q. Let k = -8.03 - z. What is the nearest to 0 in 0.3, -1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 8*w**2 + 8*w + 13. Let r be n(9). Suppose -r*v - 415 = -5*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*x - 3*k - 6, -4*x - 2*k + 56 = 0. Suppose 22*w - 1248 = x*w. What is the greatest common factor of w and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 5:39 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 5:28 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 241, 427, 615, 805, 997, 1191?\n\"Answer: n**2 + 183*n + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + p**2 - 3*p**2 - 2 + ((0 + 0 + 3)*(-3*p + 0*p + 5*p) + 0*p + 2*p - 4*p - 4*p + 5*p - 3*p - 57 + 57 - 5*p)*(4 - 4 + 2*p).\nAnswer: -8*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzzzzzzzzrz. Give prob of sequence zzzz.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11680137?\nAnswer: 3, 7, 397, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 102, -685, -1472, -2259?\n\"Answer: -787*l + 889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-6)*(432\/60)\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 20 = c, -4*i = 19078*c - 19079*c + 80 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(490)*5 + (sqrt(490) + sqrt(490)*-1 - sqrt(490))*-6 + sqrt(490))\/(((sqrt(540)*-1)\/sqrt(9))\/(3*sqrt(36)\/sqrt(3))))**2*-2.\nAnswer: -7056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 7*f**2 + f. Let j be (-34)\/(-6) + 2\/6. Suppose 0 = 3*l - 3*h + 3, 0 = 4*l - 6*h + h + j. Calculate u(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - 23. Suppose 2*u + 3*f + 4 = 19, 4*f = -3*u + 21. Suppose -t = -2*p - u*p. Solve 4 = p*b - 3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/3)\/(22\/825). Let x = v + -74\/3. Solve 0 - 1\/3*w + w**2 - w**3 + x*w**4 = 0 for w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -396310 + 792621\/2. Factor l*p**4 - 5\/2*p**2 + 3\/2*p + 1\/2*p**3 + 0.\nAnswer: p*(p - 1)**2*(p + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-21))**(-23) assuming v is positive.\nAnswer: v**483","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/((-1)\/((-4)\/12)). Let t(z) = 3*z**2 - 6 + 4 + 6*z**3 - 4 + 0. Is t(m) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-2)*84\/35. Let y = -3\/2119 + 36122\/69927. What is the common denominator of ((-6)\/9)\/(j\/82) and y?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -332323 - -21311030?\nAnswer: 20312101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of 7*z**4\/12 + 9*z + 2. Let q(m) = -4*m**2 - 18. What is q(a(d))?\nAnswer: -196*d**4 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -25*p + 222*p - 20*p + 34*p. Let c(l) = -3*l**2. Give b(c(a)).\nAnswer: -633*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*-6*14\/(-3)*2. Let z = -206 + r. Solve 3*u - z = -3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*3*sqrt(380) + sqrt(380))\/(sqrt(20)\/sqrt(32)))\/(((sqrt(220) + (sqrt(220)*3 - sqrt(220)))\/sqrt(10))\/(sqrt(44)*1)))**2.\nAnswer: 438976\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5955.2 and -1301.\nAnswer: 7747715.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83 and 13031?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 4:50 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 37205, 46368, 55531, 64694?\n\"Answer: 9163*y + 28042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7237 by 4.\nAnswer: -7237\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -142, -598, -1352, -2398, -3730, -5342, -7228, -9382?\n\"Answer: n**3 - 155*n**2 + 2*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 4*v - 25 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, f: 6, a: 1, l: 3}. What is prob of sequence llbb?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10910472*b**5 + 1014118*b - 3 wrt b.\nAnswer: -218209440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2024 is divided by 156.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 + -17. Suppose k = i - 12. Suppose k*w = -16, -5*b + b - 4*w + 408 = 0. Does 53 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**3 - 18 - 129 - 90.\nAnswer: -2*r**3 - 237","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*y = 477, -1827 - 488 = -5*c - y. What is the tens digit of c\/30 - 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21751 a multiple of 257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -850*q + 321. Does 26 divide t(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2112 - 11221?\nAnswer: -21110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.233 - 25.233. Which is the third biggest value? (a) i (b) 3\/7 (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405*d = 406*d + 13 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f - 4971 + 4611 = 0 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6049.68 + 5599.5939. Let m = -450 - c. What is m rounded to three decimal places?\nAnswer: 0.086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-6) - 2\/6. Let d be ((-9)\/12)\/((-54)\/(-16)). Put d, -1, p in ascending order.\nAnswer: -1, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -101\/4 + 26. Which is the nearest to 0.2? (a) 0 (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*p + 682 = -1086, 2*x + 3*p - 891 = 0. What is the lowest common multiple of x and 957?\nAnswer: 4785","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 3. Let g be h(4). Suppose -19 = -o + 5*p, o - 3*p + 17 = -g*p. What is the second smallest value in 2\/5, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.311 - 2.31099276. What is b rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 0, 4*i + 685 = -0*z - 5*z. Is z <= -137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 0 + 1\/4*w**4 - 1\/6*w**3 + 3*w**2 + 0*w. Calculate a(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -12*f - 2. Let x(n) = n**2 - 15*n + 20. Let v be x(14). Let w(s) = -48*s - 8. Let m be w(3). Let q be 3 + m\/28 + v\/14. Give b(q).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + 4 + sqrt(18) + sqrt(256)\/sqrt(8) + -3).\nAnswer: -7*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k*k**0*k)**(-41))**(-40)\/((k**(-2\/3))**(1\/13)\/(k\/(k\/(k\/(k\/k**(-1\/3)))))**23) assuming k is positive.\nAnswer: k**(85181\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18695?\nAnswer: 5, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 109, 165, 221, 277, 333?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1828 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/17 (b) 0.7 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 7*l**2 + 2*l. Let c(b) = -3*b**2 - 94*b - 19. What is the lowest common multiple of c(-31) and t(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 1. Let n = -212 - -211. Let g(z) be the second derivative of -2*z**3\/3 - 2*z**2 - z. Calculate n*g(v) - 3*m(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -376*r**2 - 7*r**3 + r - 10 - 3*r + 374*r**2. Let m(i) = -i**3 - i**2 - i - 1. Let t(j) = 2*m(j) - y(j). What is the derivative of t(a) wrt a?\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15027820?\nAnswer: 2, 5, 263, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (24\/(-36))\/((-8)\/(-60)) + 244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(128)*2*-5)**2.\nAnswer: -640*sqrt(2) + 12816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 10 = -o. Suppose 0 = o*b + 3*b - 120. Let w = 51 - b. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -5*h + 3. Give x(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 10. Let b = n - -16. What is the greatest common divisor of 30 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 326462 and 167555?\nAnswer: 1081","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12172, 12315, 12458?\nAnswer: 12601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153, 154, 157, 162, 169?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (5 - (-1 + (-7 - -6))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 34, 78, 140, 220, 318, 434?\nAnswer: 568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*q + q = -16, 2*q + 17 = -s. Let c = 15 + s. Suppose 5*z + 6 = 4*o + 4, -2*z + c = 0. Solve o*j = 4*j + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*a, 101*a - 19 = 5*j + 105*a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -12.675?\nAnswer: 11.675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356091.\nAnswer: 3, 29, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -4*p**3\/3 + 21*p**2 + 1785*p. Determine n(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2233300001 (base 4) to base 6.\nAnswer: 23232425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 16*z**2 + 5*z + 5. Let b(c) = c + 1. What is 5*b(l) - j(l)?\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 218\/(-1635) + (-106384)\/(-30) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8629405 or 8629386?\nAnswer: 8629405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -16) + -12 + (102 - 57).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/1)\/((-26)\/(-39)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.4, -1.32, 4, 1\/2, -114, 28?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3251 - 3255. What is the second biggest value in n, 2, -58.6, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 5*p + 3*b, -7*p + 250*b - 251*b + 45 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 245 and 177245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*n - 3. Suppose -5*g + m = -15, -m = n*g - 0*m - 6. Let p be 104\/20 + g\/(-15). Put -2, 2, p in ascending order.\nAnswer: -2, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xfv when three letters picked without replacement from xkppfvp?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 16536 (base 13) in base 12?\nAnswer: 20809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 442, 2\/45, 4?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*k + 47964, -48*k + 50*k + 4*d = 31976. Does 28 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three tenths of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 432 + -433. Let i be q - 31854 - 3\/(6\/10). Round i to the nearest one thousand.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1712978 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -84.7 and -0.732.\nAnswer: 62.0004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffe when four letters picked without replacement from {f: 4, e: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1892, -7124, -15706, -27638, -42920, -61552, -83534?\n\"Answer: -1675*o**2 - 207*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100 + 1111?\nAnswer: -10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-200)\/(-125)*10\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 3:22 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**8\/6720 + h**7\/2520 + h**6\/720 + h**5\/12 + 12*h**2. Let d(i) be the third derivative of p(i). Calculate d(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-3*l + 4*l - 3*l) - 14 + 6 + 1280*l - 1356*l.\nAnswer: -80*l - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhlllvlvlllhlll. Give prob of sequence vl.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35052 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2745 - 7?\nAnswer: 273b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8172 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -460 or 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**5\/7 - 274796*m**4\/7 - 274788*m**3\/7 + 824392*m**2\/7 + 196282*m + 549588\/7 = 0.\nAnswer: -137397, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 17*v - 16. What is the least common multiple of d(-19) and -1 + (-3)\/3*-23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2333, -2347, -2361?\nAnswer: -2375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4477 - -4473. Which is the third biggest value? (a) 203\/2 (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2650531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215279687 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 8*z**2 + 9*z + 10. List the prime factors of i(-9).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2400893?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 180*o**5\/7 + 3747*o**4\/7 + 3675*o**3 + 8001*o**2 - 2499*o - 2058 = 0.\nAnswer: -7, -2\/5, 7\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/6 - 20\/(-6). Let f be ((-20)\/(-15))\/(4*2\/12). What is the greatest common divisor of w and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**5 - 4*w**4 + 4*w**4 + (-3*w**4 - 61 + 5*w**4 + 55 - 6*w)*(-8 + 8 + 11*w).\nAnswer: 19*w**5 - 66*w**2 - 66*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 260, 270, 282, 296, 312?\nAnswer: 330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00025531 rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -3 (b) -0.9 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8594 - 3454. What are the prime factors of k?\nAnswer: 2, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and -38074225304?\nAnswer: 38074225305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 11 - 227*h + 21 - 12 in the form c*h + o and give c.\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 10:06 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*y**3 - 86*y**2 - 12144*y + 1579273 wrt y?\nAnswer: -6*y**2 - 172*y - 12144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i + 2*i + (-3*i - 3*i + 4*i)*(0 + 5 - 3))*(-6*i + 8 - 8)*(38*i + 21*i - 19*i).\nAnswer: 480*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/5 and -1\/3082 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + s + 11. Let u be v(0). Suppose 0 = -6*g + u*g. Let o be -2 + (g - -1)*2. Which is the smallest value? (a) o (b) 4\/7 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 + 99 - (-1 + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - 30. Let f = 0 - b. Which is greater: 4 or f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 245, 1024, 2395, 4418, 7153?\nAnswer: 10660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = 26*z - 66*z + 272. Let l(u) = -9*u + 24. Let f(v) = -14*v + 36. Let w(j) = 5*f(j) - 8*l(j). Determine w(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 8. Find the common denominator of -107\/6 and (1 - j)*87\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 381683856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 2:53 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 4*h + 10, 3*x + 3*h - 25 = -7. Suppose x*v = 4*q - 182, 0 = -2*q + 2*v + 23 + 69. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twhtwpwtww. Give prob of picking 1 t, 1 h, and 1 w.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15725 and 170.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**3 - 15707*h + 15707*h.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**5 - c**3 + c**2 - c + 1. Let h(f) = 14*f**5 + 9*f**4 - 26*f**3 - 34*f**2 - 31*f + 3. Let s(i) = 5*h(i) - 35*p(i). Factor s(t).\nAnswer: 5*(t - 2)*(t + 1)**3*(7*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = k - 250, -5*k + 474 = -3*k - 3*t. Suppose -2*l + k = 8*l. Calculate the remainder when l is divided by (32\/5)\/((40\/25)\/4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 5*m - 19. Let p be n(-7). Let o(x) = 14*x**2 - 4*x - 13. Let i(v) = -29*v**2 + 9*v + 27. Let g(l) = 2*i(l) + 5*o(l). Is g(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 344057 to the power of 1\/2, to the nearest integer?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 70, 2\/13, -4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*v**2 - v**4 + 42*v**2 + 14*v**3 + 132 - 6*v**3 + v - 135 in the form y*v**3 + j*v + k + u*v**2 + r*v**4 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1129*c + 1134*c - 3390*c + 1128*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 669569 + -669566. Factor -7*m + 1\/3*m**3 - 245\/3 + x*m**2.\nAnswer: (m - 5)*(m + 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -2, -9, -200, 5.\nAnswer: -200, -17, -9, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*c - 54 = -2*c, 5*w - 2*c = -144. Let h = -29 - w. What is the tens digit of (-187 - -12)*(1 - (1 - h))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (10 - (8 + -9 + 3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 26*f + 29. Let g(m) = -m**3 + 9*m**2 + m + 16. Let b be g(9). Let a be i(b). Solve -j + 6*j - 4 = -t, a*j - 2*t + 8 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1569, 3124, 4679, 6234?\n\"Answer: 1555*a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -49*r + 1038. List the prime factors of y(0).\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 308 and (-16)\/10*1650\/(-132)?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29131907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*x - 8*x - 11*x)*(-7 + 2 + 0)*(-1 + 2 - 3).\nAnswer: -300*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 1 = -2*d. Let u = d - -10. Calculate the remainder when 16 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n - 190 = -1180. Suppose -2 + 70 = -4*z. Let y = 31 + z. What is the least common multiple of n and y?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -327 - (-6 + 12\/6). What is o rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/29812 and -101\/118734.\nAnswer: 6886572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 10 = 2*r, -3*g + 4 = -3*r + 19 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1409, -1, 2349, 5641, 9875?\n\"Answer: 471*t**2 - 5*t - 1875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1170\/65 + (-7)\/((-28)\/(-32)). Solve -h*c = 16*c - 104 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*(-3 - 19)*3\/2. Let x = -625 - p. Let i = -423 + x. Round i to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-4)\/(-30))\/(56\/(-80))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**3 - 28*q**2 + 3*q - 670. Determine k(13).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 8. Let y be (-6)\/(-3)*o - -2. Suppose -p - 30 = -5*h + 211, 3*p = -y*h + 208. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -121 + 207. Suppose 4*w = -w + 3*u + j, 58 = 3*w - 5*u. Calculate the remainder when (-16881)\/(-357) + ((-18)\/14 - -1) is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrq when three letters picked without replacement from rqqqrqrrrrr.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1451, 3, 255 in ascending order.\nAnswer: -1451, 3, 255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(-6\/5)*i*i\/(i*i**(-3\/4)*i)*i)\/(i\/(i\/(i**(3\/2)*i)))**(-27))**(-7\/12) assuming i is positive.\nAnswer: i**(-3381\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 91 - 95 = 0, -a = -2*k - 224. Which is greater: k or -67?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1049 - 842. Suppose -15*w + t = 8*w. Solve -w = 2*o - 5*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 2*q**2 - 1. Let t be b(1). Suppose -3232 - 800 = 64*m. Let a be t\/(-9) - 203\/m. Put a, -7, 0 in ascending order.\nAnswer: -7, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n + 40. What is the lowest common multiple of 94 and w(-18)?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g**2 - 44*g + 25*g + 28*g - 38.\nAnswer: -5*g**2 + 9*g - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 22\/2)*(1936\/(-77))\/(-4).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*z**4 + 3 + 23*z - 8*z**4 + 98*z**5 - 6 wrt z.\nAnswer: 1960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10143)\/405 + (-32)\/(-720)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {q: 7, u: 6, g: 2, i: 4, w: 1}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111222121 - -1?\nAnswer: 111222122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -510*i - 32. Is 13 a factor of k(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 4*v**2 - 4*v - 20. Let a be w(-3). Solve -6*k = -9*k + 5*n - 29, k + n - a = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -675.89513 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9\/389 (b) 1.9 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {l: 7, n: 4, j: 2}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-14)\/15)\/(2 + 119). Let s = t + 17353\/3630. Calculate the common denominator of 1*(2 - 375\/18) and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-12) - (-383330)\/45. Let v = z - 8511. Calculate the common denominator of -59\/14 and v.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/54 + 1\/6. Let z(t) = -t**3 + 2*t**2 - t + 7. Let i be z(f). Suppose 8 = -i*s + 64. Calculate the remainder when 31 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*166221\nAnswer: 16622.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 - 8*a + 12.\nAnswer: (a - 6)*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.08822448 less than -6.259?\nAnswer: -5.17077552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = g - 2*g. Let v be (-27)\/6*4\/g. What is the second derivative of 2*k**2 + v*k**2 - 4*k**2 + 3*k - 2*k**2 wrt k?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 225, 2535, 8825, 21087, 41313?\nAnswer: 71495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/3))**(3\/4)\/((a**0\/a)\/(a**(-5)\/a)) assuming a is positive.\nAnswer: a**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of v**6\/5 + 3*v**5\/20 - v**4\/4 + 8*v - 5. Let n(r) be the first derivative of z(r). Suppose n(b) = 0. What is b?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4827.803 rounded to the nearest 100?\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 12. Suppose 52 = z - 3*f, -j*f = -4*z + 2*f + 215. List the prime factors of z.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -262796, -1050933, -2364412, -4203233?\nAnswer: -6567396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 5, 1, 10 in increasing order.\nAnswer: -12, 1, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 + 35*v**2 - 15*v**2.\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45\/1171 or 0?\nAnswer: 45\/1171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, o: 1, u: 2}. Give prob of sequence uv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of j**3\/6 + 5*j**2\/2 + 3*j. Determine d(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222231 (base 5) to base 12.\nAnswer: 4634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.9 and -1960.4762.\nAnswer: 1764.42858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -670500\nAnswer: 2011500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32118610 less than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 7*f**2 - 32*f - 200. Let b be a(-5). What is the greatest common factor of 178 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 6573\/147 - 16 - 6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5*((-7)\/(-5) + -1) - -293?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 8*c = 0. Suppose 14 = -3*t - 1. Suppose -2*n = 3*p - 19, 0 = 2*n - 7*p + 3*p + 16. Put t, c, n in descending order.\nAnswer: n, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 129612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**3 + 27*w**2 - 99*w - 1192. Let l be j(-14). Let n(x) = 8*x**3 - x**2 + 5*x + 5. Determine n(l).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + j = -2*f - 16, 0 = -f - j + 8. Suppose -39*v + 263 = -205. Solve v*l = 10*l + f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 6 = -5*w, p + 2*w + 12 = 5*p. List the prime factors of ((-15)\/(-10))\/(1\/p).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*a**3 - 68*a**3 + 1219*a**3.\nAnswer: 1426*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2050\/4653 - -2\/517. Find g, given that x*g + 0 - 2\/3*g**2 = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**4\/2 + 78*u**3 - 81*u**2\/2 - 1782*u - 2754 = 0. What is u?\nAnswer: -3, -2, 6, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56784?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*r = 34*r. Suppose -w = -2*t + 2 - r, 4*w - 1 = 5*t. Suppose -6*o + w*o = -62. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17249 - -15.6?\nAnswer: -17233.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -12. Suppose -5*y - 10 = 0, 0 = f*j - 2*j - y - 5. Suppose 0 = 2*w - 10, 0*w + 19 = 2*p + 5*w. Put 2, p, j in decreasing order.\nAnswer: j, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yvyvvvyyvvyv. Give prob of sequence yvyy.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-1 - 1) + 3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -963*v + 7 = -970*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 4\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**9*y*(y**18\/y)\/y assuming y is positive.\nAnswer: y**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) + 1*1*sqrt(84) + sqrt(84))*-6)\/(sqrt(70)\/(-5*sqrt(30)\/sqrt(3))))**2 + -5.\nAnswer: 97195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 - 6*x + 12. Give c(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 + (-506)\/22 + 20. Solve 4*b - 55 = 5*r - 8, -c*r - 12 = 3*b for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (5*(-42)\/60)\/((-1)\/2)*1 and 3922.\nAnswer: 27454","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + 17 - 5) + (-28 + 2 + 1 - 4).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3186372598 - -0.31864. What is n rounded to seven decimal places?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**3 + 5778*r**2 + 11544*r = 0?\nAnswer: -1924, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d + 15*d = -12. Solve 2 = u + u - d*f, -3*u + f = -8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21*1 - (12 - 9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 6*u**2 + 6*u + 5. Is k(5) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -o - 5*p - 19, o + 15 = -4*p. Suppose 4*v + o*a - a = 44, 5*v - 54 = -4*a. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39230338 and 70?\nAnswer: 196151690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.37 in 0.2, -0.4, -60?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 37 = 4*a, -2*a - 18 = -5*y + 17. Let n be a\/(-65) - (-24)\/13. Solve 2\/3*h + 2\/3 - 2\/3*h**n - 2\/3*h**3 = 0 for h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from kpgggkyggkpgpwggpkgg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a week in seconds?\nAnswer: 16800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 7 - (-2 - (-5 - -8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 500 and 28?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 644080 a multiple of 664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 7, 11, 4.11 in descending order.\nAnswer: 11, 7, 4.11, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.051 - -21.051. Let n = r + -23. Let l(p) = -p**2 + 8*p - 6. Let t be l(7). Is n <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1919705 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -179.46 plus 3868276?\nAnswer: 3868096.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16159, -4, 0.1, 0.4, 0.5 in ascending order.\nAnswer: -16159, -4, 0.1, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**2 + 74*u + 441. What is y(-13)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 395157 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t + 13. Let s(q) = -q + 32. Let u be s(20). Suppose -u = -6*m + 30. Let c(g) = -g - 6. What is m*c(l) + 3*v(l)?\nAnswer: 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*z = 28, -2*d + 35*z + 40 = 30*z. Solve 13*c - 8*c + d*b - 20 = 0, 4*c - 3*b = 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -666.\nAnswer: -4\/333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q - 9*q - 72 + 180 = 0. Suppose -l - 2*l = 0. What is the remainder when 1 + l - (-12 + -3) is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -692 - -971. What is the remainder when c is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2006?\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -1.17526, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(385)\/(2*sqrt(7)))\/(sqrt(125)*-1))**2.\nAnswer: 11\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -152.769532 rounded to one decimal place?\nAnswer: -152.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 3.1. Let s = 56.37 - -0.63. Let x = s + -57.5. Which is the nearest to m? (a) x (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgue when four letters picked without replacement from {e: 2, g: 1, u: 1, h: 2, m: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -36\/5, -5, -0.072, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -4*k - 3*t + 6, 40 = 5*k + 5*t for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(75) + 2 + -4 + sqrt(12)\/sqrt(4) + 3 + -1)**2.\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*m + 6674, -5*k = -2*m - 9*k + 3326. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*h*x**2*y**3 + 6*h*x**2 - 2*h*x*y**3 + 55*h*y**2 - h - x*y**3 wrt x?\nAnswer: 18*h*y**3 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 34 = 2*y. Solve 3*i - y = -2*j, 0 = 3*j - 5 - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -243 + 248. Let p = -8 + 4. What is the nearest to -4\/7 in u, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-12 - (6 - 25))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1 - -3.3. Let l = 63 - 62.6. What is the second biggest value in l, t, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*c + 28. Let f(d) = 3*d**3 - 11*d**2 - 3*d - 5. Let z(x) = x**3 - 4*x**2 - x - 2. Determine c*f(l) - 11*z(l).\nAnswer: l**3 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 30 + -11 + -13 - (119 + -6).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/70880 and 115\/24.\nAnswer: 212640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(190) - sqrt(190)*3)*-4 - sqrt(190)))\/(-2*sqrt(1000) + sqrt(1000) + sqrt(1000) + (sqrt(90) + sqrt(10) + sqrt(10))*-5).\nAnswer: 14*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, 4, -24.0701?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14271 divided by 2.\nAnswer: 14271\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - g + 529517, -2*i + 529502 = 177*g - 181*g. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5008?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2488*s**2 + 3*s - 1561. Let u(y) = -2493*y**2 + 2*y - 1552. Let p(j) = -2*b(j) + 3*u(j). What is the derivative of p(l) wrt l?\nAnswer: -5006*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40162 (base 9) to base 10\nAnswer: 26381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/(302\/(-3171))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106625 + 35543 - 199*q + 35543 + 35539.\nAnswer: -199*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 greater than -265405\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s = 22*s - 600. Suppose -4*v = 4, -3*r + 9*v = 8*v - 451. Calculate the greatest common factor of r and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -37*j**3\/3 - j**2 + 338*j. What is p(-1)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a + 43. What is f(0)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -8. Suppose -n - 291 = -4*n. Suppose -m*g = -2*l - n - 6, -l = -g + 23. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h - 2 + h - 2*h - h. Let j be l(-1). Calculate the greatest common factor of j and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 539226841327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 2. Let o be (2\/(-6))\/((-6)\/72). Let j be s(o). Let x(i) = 2*i - 1. Determine x(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 77*n**2 - 1461*n - 135. Let g be k(-44). Let w = -4 + 13. Calculate the greatest common factor of g and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**2 + 54*k\/5 - 4784\/5 = 0.\nAnswer: -184\/5, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 4 = 3*j. Let o(a) = -28*a - 2. Let q(z) = 14*z + 1. Let c(i) = -6*o(i) - 11*q(i). Let w be c(j). What is w rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**3 - 6*m**2 - 5*m. Let a be (0 - -12)*14\/(-21). Suppose -5*r = -9 - 16. Let p(x) = 2*x**3 - 4*x**2 - 3*x. Determine a*p(i) + r*c(i).\nAnswer: -i**3 + 2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - 2530\/(-121))*-1\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*t**2 + 15 - 15*t**2 - 3*t**3 - 34*t**2 + 2 + 77*t**2 in the form v*t**2 + u*t + q*t**3 + r and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjjs when four letters picked without replacement from jjjjhshjjjhsjjjjjj?\nAnswer: 13\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -20 (c) -2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*p - 143*p - 229*p + 63*p.\nAnswer: -349*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 280.4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -349, -1144, -1989, -2488, -2245?\n\"Answer: 66*z**3 - 421*z**2 + 6*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-66)\/(-55)*(-37000)\/6. Round z to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**3 + 104*q + 3*q**4 + 6*q**4 - 102*q as m*q**2 + y*q + s + f*q**3 + d*q**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2030 + -1232220?\nAnswer: -1230130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -5*u + 80, 2*u - 17 = h - 0*h. Suppose -74 = 2*d - 5*r, 0*r - 5*r = 10. Let p be 1\/(-3) - 56\/d. Calculate the greatest common divisor of p and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 503146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7767900 divided by -2\nAnswer: -3883950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 3:41 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 1 + 1 - 4. Let w be 1*143\/4 + (-2)\/(-8). Let a = -40 + w. Calculate z(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 554 a factor of 6936634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4))**7 assuming s is positive.\nAnswer: s**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 5*h - 2 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 - 377138935*n**2 + 7111689003216175*n - 7111688626077245.\nAnswer: 5*(n - 37713893)**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, q: 3, d: 4}. Give prob of sequence qq.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/45 and -5\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a millennium in years?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4336 - 65042\/15. Which is the third biggest value? (a) -2\/5 (b) 0.8 (c) p (d) 2\/7 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 6*p**3 - 5*p**2 - 5*p - 4. Let d be k(-6). What is d rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 592 times 825\nAnswer: 488400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 1 (c) 62697 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k. Let g(i) = -i - 1. Let b(j) = 4*j + 1. Let p(o) = b(o) + g(o). Calculate p(m(x)).\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 203 + -1017\/5. What is the nearest to 0 in 1\/4, 1\/2, -3, z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -15*r**2 + 616*r - 3065. Determine p(5).\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*4\/(-56)*(-21)\/(-30)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 185*c**2 + 7911*c - 5014. What is l(-117)?\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/27 (b) -4 (c) 1\/52 (d) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0189730063721 + -10.1?\nAnswer: -10.1189730063721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b. Let s(h) = -374*h**2. Determine s(n(q)).\nAnswer: -5984*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*y + 5. Suppose -4*w = y + 19. Let k(f) = f + 12. What is k(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 + -21. Suppose -a*l + 18 = -54. Solve -q + l = 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((2*(sqrt(2548)*-1 - sqrt(2548) - sqrt(2548)) + sqrt(2548))*2)\/((sqrt(80)*-3)\/((sqrt(25)*2)\/sqrt(5))).\nAnswer: 5 + 70*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130, -232, -356, -514, -718, -980, -1312, -1726?\nAnswer: -2234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 27, 7, -49, -153?\nAnswer: -317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 4. Let o be (-4)\/6 - 7\/3. Let r = -5562 + 5561.8. What is the nearest to o in r, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102956 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, a: 1, i: 5, r: 1, k: 3, n: 1}. What is prob of sequence ank?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-16)\/28*(-7)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -0*f - f - 5, -20 = 5*q + 4*f. Let n(g) = g**3 - 3*g**2 - 4*g + 1. Let p be n(4). Differentiate -22*r + q + p + 24 with respect to r.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40660527 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -17*r - 3. Let a be n(-3). Suppose 0 + a = -3*l. Let k be (l\/9)\/8 - (-20)\/9. Solve -m = -k*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2bc + -1c52?\nAnswer: -1963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3726\/115)\/((-2)\/(-5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -268\/91 - -42\/13. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2554 - -2553.3732. Round s to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 87 = -2*c. Suppose 3*n + 5*a - c = 0, -4*a + 14 = n - 3*a. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)\/a**4)\/(a*a**(2\/7)*a\/a**1)*(a*a**6*a**5)**(-1\/4) assuming a is positive.\nAnswer: a**(-79\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 18*n**3\/11 + 12018*n**2\/11 - 16048*n\/11 + 5352\/11 = 0.\nAnswer: -669, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v + 16. Let n be s(11). Suppose 5*j - 24 = 3*q, -n*q + 3*j - 21 = j. Which is greater: q or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 0.136?\nAnswer: 0.0272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.1, 2\/41 in increasing order.\nAnswer: -0.1, 2\/41, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0\/2 + (-102 - -95) - -15583?\nAnswer: 2, 3, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 314420, 314419, 314418, 314417, 314416?\nAnswer: 314415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 7*i - 12. What is the tens digit of h(16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(-4) - (-2)\/8. Calculate the common denominator of -101\/76 and (3 - l)\/(-32) + (-2058)\/(-528).\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of k**3\/12 + k**2\/2 + k + 2. Factor f(n).\nAnswer: (n + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**4 + 2*l**4 + l**4 + (27 - 64 + 18)*(-33*l**4 + 9*l**4 - 14*l**4).\nAnswer: 727*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22.594 - -13.65. Let h = -9 - k. Round h to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*k - 61*k + 2*b = 16, 549*k + 2*b = 6592 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 15*v - 21. Let q be j(10). Let s = q - 38. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d. Give s(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/3696 and -123\/1232.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q. Let s(l) = -79*l**2 + 71*l**2 - 111*l**2. What is s(c(r))?\nAnswer: -119*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85 - 85 - 90 + 260 - 21*k**3.\nAnswer: -21*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -174962, -174801, -174632, -174449, -174246, -174017?\n\"Answer: y**3 - 2*y**2 + 160*y - 175121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (79 + 14 - 12)*(3*l + 0*l - l) to the form v*l + r and give v.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -42603 and -841406616?\nAnswer: 841364013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - -0.2. Let m(s) be the first derivative of -3*s**2\/2 - 12*s + 250. Let c be m(-5). What is the second biggest value in k, 7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -7*i - 5. Let o(j) be the second derivative of -2*j**3\/3 - 2*j. Let x be o(i). Solve 20 = -x*d - 4*b, -d + 3*d - 4*b - 8 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.19 in -4, 1\/5, -1\/4, 0.41, 1\/10, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 5*r - 50 = 0, 49*t - 44*t + 15*r + 150 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - sqrt(11)*2*-3)**2 - (4 + sqrt(11) + 1)) + 2*sqrt(99) + 5 - (3 + 1 + sqrt(275)*2 + -5).\nAnswer: -5*sqrt(11) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - p)*(4 + 1 - 3) + 4*p - 3*p - 3*p + (10 - 3 + 3)*(-10*p - 10*p + 4*p).\nAnswer: -164*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3259, 3, -2\/11, -63, 2?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w - 16. Let g be i(-11). Solve m + 2 - g = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 107.737 + 0.01977.\nAnswer: 107.75677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 3 - 5. Suppose -5*y + 55 = 3*m - 4*y, -3*m - t*y + 50 = 0. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/77)*s)\/((s**(-31)*s)\/s) assuming s is positive.\nAnswer: s**(2462\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*b*q**3*z + 77*b*z**3 + 35*q*z**3 - 4*z**3 with respect to q.\nAnswer: -21*b*q**2*z + 35*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g - 6. Suppose -2*o - 21 = -3*j, 3*j + 6 = -3*o - 3. What is the units digit of h(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 41537*x - 41438*x + 4 + (-4 + 4 - x)*(0 - 2 + 0) + (5 - 3 + 5)*(x + x + x) as n*x + a and give n.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -9*t**3 - t**2 - t - 1. Let v = -12 + 11. Let p be z(v). Let d(g) = -g**2 + 10*g - 9. What are the prime factors of d(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -124 + 130. Let p(b) = 29*b - 12. What is the tens digit of p(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 5, 16731574 in decreasing order.\nAnswer: 16731574, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 45\/2 of a micrometer?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2335920 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -463 (base 7) to base 6.\nAnswer: -1041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 3 + 1 - (-52 + 34 + 19)) + -41\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 945.2766 litres?\nAnswer: 945276.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -q**4\/12 - 4*q**3\/3 - 4*q**2 - 32*q - 6. Let v(d) be the first derivative of b(d). Give v(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 237.0707 millennia?\nAnswer: 237070.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pt when two letters picked without replacement from {p: 10, t: 4, b: 6}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 105 and 180?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 152890 rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 5*f + p, -f = 4*f + 5*p + 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 190159639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 160 (base 14) to base 9.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 110316427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -100, -115, -128, -139, -148, -155, -160?\n\"Answer: v**2 - 18*v - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 554\nAnswer: 1\/554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -307*c**7\/21 - c**6\/15 - 379*c**4\/6 - 923*c. What is the third derivative of i(x) wrt x?\nAnswer: -36840*x**2 - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -o + 4640*f - 4636*f, -f - 1 = 0. Calculate the least common multiple of o and 549.\nAnswer: 6039","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38628151 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -10 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*w**4 + 72*w**3 + 44*w**2 - 48*w.\nAnswer: -4*w*(w - 4)*(w + 1)*(5*w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 - -44. Suppose -s*n + 1 = -3. Calculate the remainder when n is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 506 + 293. List the prime factors of c.\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 838927, 1677827, 2516727, 3355627, 4194527, 5033427?\nAnswer: 5872327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37268725*v**3 + 156217921*v**2 wrt v?\nAnswer: -223612350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203 = -43*m - 31 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -145*v**3 - 21*v**2 - v - 20. Let c(q) = 144*q**3 + 28*q**2 + q + 23. What is -3*c(t) - 4*r(t)?\nAnswer: 148*t**3 + t + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + -16. Let r(m) = -m**2 - m - 66. Let q be r(0). Let b = 136 + q. Calculate the highest common factor of b and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vb when two letters picked without replacement from cbccvbcbvvccv.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(4\/11)*x*x**(3\/4))\/(x\/(x\/(x\/(x**(-11)\/x))))**(-1\/7))**(-48) assuming x is positive.\nAnswer: x**(-14676\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72271.\nAnswer: 72271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.22698018 and -2?\nAnswer: 0.45396036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**6\/60 - z**4\/24 + z**3\/6 - 2*z**2. Suppose -2*d + 4*m - 2*m = -14, 31 = 3*d - m. Suppose 13*t - 1 = d*t. What is v(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**6\/120 - u**5\/20 + u**4\/12 - 1371*u**2. Factor j(y).\nAnswer: y*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 2. Suppose m = 5*p - 31, -3*p + 4*m + 21 + 1 = 0. Suppose 4*u = -16, -343 = -p*l + l + b*u. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*m + 416 = 65*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3872541*f*p**3 + 263334*f - 11 wrt p.\nAnswer: -11617623*f*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 1:27 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-3 + -2))\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -713.4+591780\nAnswer: 591066.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14374738.\nAnswer: 2, 7, 146681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 2*a - 6*a. Suppose 21 = 3*w - 5*c, -3*w = 2*c - 19 - 23. Let x be w\/((-2)\/(-4) + 1). What is the highest common factor of a and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + 2. Let a = m + -6. Let y be (-94)\/329 + (-74)\/(-14). Calculate the highest common factor of y and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*q**4 - 9*q**5 - 12*q + 3*q**4 - q**5 wrt q?\nAnswer: -200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 7 = 18. Suppose r*g - 5 + 0 = 0. List the prime factors of (15\/(-6))\/(g\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*o + 336 = -124*o. Let g = o - -428. What are the prime factors of g?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjhjjjhhjjjjj. What is prob of picking 2 j?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118 + 61 + 2*m**2 + 57.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*t**3 - 59*t**2 - 27*t - 6 wrt t.\nAnswer: 54*t - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -7 + 9 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.1 + -14.6. Let l = -0.04 + 3.04. Which is the nearest to -1\/4? (a) k (b) l (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18280247.4us to days.\nAnswer: 0.0002115769375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271*n + 1963 = -1018. Let z(m) = -m**3 - 11*m**2 + 3*m + 27. What is z(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -6*z**2 + 13*z + 21. Determine u(-4).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + 204?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 209 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*q - 2*q - 353 - 710 = 87 for q.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1372680 (base 11) to base 9.\nAnswer: 4387214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + 72. Suppose -3*w + x = -0*w. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5)*n)\/n*n\/(n**(-2\/11)\/n)*(n*(n\/n**(-1))\/n)\/n**(-2) assuming n is positive.\nAnswer: n**(13\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 23*w**2 + 24*w + 21. What is r(24)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -421.71 - -418. Let h = 9.449 + -9.949. Which is the second smallest value? (a) x (b) h (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y**3 - 11*y**3 - y**4 + 9*y**3 - 1. Let v(w) = -2*w**4 + 2*w**3 - 1. Suppose -4 - 4 = 4*s. Let l(g) = s*k(g) + 3*v(g). Differentiate l(n) wrt n.\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -11*n + 5. Let w = 88 + -23. Suppose 5*c - 15 = 5*y, 5*c = -5*y - 0*y - w. Let g(j) = 7*j - 3. What is y*g(l) - 5*z(l)?\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 187, 313, 523, 817, 1195, 1657, 2203?\nAnswer: 2833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1941 = -79*f - 598 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(76)\/sqrt(4) - sqrt(19))*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 - 34284783?\nAnswer: -34284796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.94 times -401.1\nAnswer: 377.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 670*k**3 + 438*k**3 + 385*k**3.\nAnswer: 1493*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*533\/(-5824) + (-3)\/48?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 2:31 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-152)\/152*(-3)\/21*3.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 490023.1nm?\nAnswer: 0.4900231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1113 - -1192. What are the prime factors of p?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7259775 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xttmtku. What is prob of picking 1 x and 1 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 4\/40 - 27445\/(-50)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 0.1. Let s = 458 - 269. Let r be (-56)\/s*(-6)\/(-8). Which is the closest to l? (a) r (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 + 11*h - 8. Let i(l) = -l**2 - l + 1. Let o(q) = -5*i(q) - m(q). Let j(d) = 7*d**2 - 12*d + 5. Let b(k) = 2*j(k) - 5*o(k). Give b(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42*932479.4.\nAnswer: -39164134.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3 = 0, -4*a + 42 = -4*g - 138. Let v = a - 42. Let s be v\/9 + 40\/(-18). What is the biggest value in 14, 4, -0.2, s?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58183576 is divided by 29091784.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 685748?\nAnswer: 137149.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -89 (b) 0 (c) 0.2 (d) -10\/7 (e) 5 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/9 (b) -0.1 (c) -0.734\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -724 + 3075. What is the thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79 - -74. Which is the third smallest value? (a) 3 (b) p (c) -3 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -172 - -233. Suppose 64 = -3*z + 7*z. Calculate the remainder when x is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 114620434 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2244*z + 12*z**4 + 17 + 258*z**4 - 2245*z with respect to z.\nAnswer: 1080*z**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*(-37)\/(-19980)*(-5)\/(50\/16).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 102 - 102. Let m(i) = 2*i - 6. Let l be m(5). Suppose 2*n - 2*a = -k*a - l, 4*n - 2*a + 14 = 0. Let v(j) = j**3 + 6*j**2 + 6*j - 2. Calculate v(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 791534817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-5)*60\/(-24))\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45 - 0.124.\nAnswer: 44.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 7128.8029 to the nearest 100.\nAnswer: 7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237 = -7*w + 11*w + 5*x, x - 5 = 0. Suppose -5*j = -g - 185, 12*g - w = -j + 9*g. Calculate the greatest common divisor of j and 361.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, -35, -103, -187, -293, -427, -595, -803?\nAnswer: -1057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/10 and -13\/1070?\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -b - 60 + 198, 94 = 3*p - 5*b. Find the common denominator of p and (-5)\/(-35)*-3 + (-153)\/84.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138, 1195, 4066, 9663, 18898?\nAnswer: 32683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*1*6 - (sqrt(91) + sqrt(91) + 2*sqrt(91)*2 + sqrt(91)))\/((sqrt(1792)*2 - sqrt(28))\/(-6*-1*sqrt(4))).\nAnswer: -2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/6982569 and -26\/1340089?\nAnswer: 132668811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 16 = 5*c. Let p be c*-26*(-1)\/6. Let k(n) = -n**2 - 7*n + 20. Let w be k(-9). Solve p = -5*h - w for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**3 - 139*x**2 + 1075*x + 24. Give d(9).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-5 + -16 - -10) + -2 + 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**7\/5040 + n**6\/720 - n**5\/80 + 3*n**4\/4 - 12*n. Let l(q) be the third derivative of r(q). What is k in l(k) = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*q - 2*g - 8, -3*g - 6 = 0. Solve x - 4 = -q*b + 5*b, -3*x = -4*b - 15 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3265 by 653.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 3:55 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - 59*-12*(-57)\/(-342).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -81849, -6 in ascending order.\nAnswer: -81849, -6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02 + -2.98. Let j be (-12)\/10*(-85)\/(-4). Let k = 26 + j. Sort v, -5, k in increasing order.\nAnswer: -5, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4571 - -4558. Let x(p) = 4*p**3 + 3*p**2 - 6*p - 1. Let a(j) = -9*j**3 - 7*j**2 + 13*j + 2. Determine n*x(i) - 6*a(i).\nAnswer: 2*i**3 + 3*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -3059.2893 to the nearest 10.\nAnswer: -3060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -p**2 + 10*p + 2. What is the tens digit of q(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 956249*v**2\/3 - 419793313*v\/3 + 878\/3.\nAnswer: (v - 439)*(956249*v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -30. Let n = 9 - f. Let r(q) = 25*q**2 + 5*q + 20. Let m(i) = i**2 - i. Let t(d) = n*m(d) - r(d). Factor t(p).\nAnswer: -5*(p + 1)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((-12)\/5 - -2). Let z = -37 - -52. Suppose 4*n + 3*i - 28 = 0, 4 = 2*n - 5*i + 4*i. Solve -f = -n*b + z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*y + 32 = -85*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s. Let d be c(10). Let y = -21 + d. List the prime factors of y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.11 - 1.9. Let i = x - 1.18. Let g = -2 - i. Which is smaller: g or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -630890\/19 and -33205 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h**2 + 24*h + 2. Does 30 divide x(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 5*f = -z + 4*f - 20, 3*z + 9365*f = 9368*f for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/((j\/j**27)\/j)*(j**(-3\/14)*j)\/j*j*j assuming j is positive.\nAnswer: j**(417\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + sqrt(320)*-3 + 3*(sqrt(320)*2 - sqrt(320)) + 0 + 1*((sqrt(320) - (sqrt(320) + 0)) + sqrt(320))*2 + 5)**2.\nAnswer: 352*sqrt(5) + 1401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 117*i - 1. What is the remainder when p(1) is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/((-210)\/399) + -13. Suppose 0 = -4*d + 60. Suppose -4*x - 3*k = -3*x - d, 0 = x - 4*k - 1. Calculate the highest common factor of x and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 3*n**2 + 12*n + 17. What is the remainder when 2117 is divided by k(3)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvjvvvvnjpdvdjvpp. What is prob of sequence dp?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3\/4 - 75*a**2\/4 + 35*a\/2.\nAnswer: 5*a*(a - 14)*(a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 9:50 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38.19 - -38.1903697. What is c rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -165\/4 in -268, 3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 + 26 - 88 + t as b + a*t and give b.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38746005, -77492009, -116238013, -154984017, -193730021?\nAnswer: -232476025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -7*p**2 + 307*p + 46. Determine z(44).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-69 + 73 - 264)*(-3*g + 4*g - 3*g)*((-1 - 4 + 3)*(2 - 5 + 2) - 5 + 0 + 2) to m*g + w and give m.\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = g + 3, 3*g + 6 = 4*m + 13. Suppose -g*k - 247 = 183. What is the common denominator of k*1\/(-14) + -1 and -37\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21\/4 + 5. Let m = 214.7 + -247. Let l = m + 32. Which is the second smallest value? (a) 0.2 (b) z (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**3 + 4*j**2 - 2*j + 1374*j**4 - 1375*j**4 - 11*j**2 - 3*j**3 to s + q*j + n*j**3 + p*j**4 + o*j**2 and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 4, 34 in increasing order.\nAnswer: 4, 8, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301559.\nAnswer: 43, 7013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.7 - -3.7632. Let i = 22.8168 + o. Let y = 23 - i. Round y to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 104.5\nAnswer: 522.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + w + 26. Let o(b) = 2*b**3 - 11*b**2 + 5*b + 7. Let u be o(5). List the prime factors of h(u).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 + 323*h - 323*h. Let d(g) = -11*g**2. What is d(u(l))?\nAnswer: -44*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-77 + 70)*((-2)\/4 - (-67)\/182).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 - 14*q**2 - 23*q + 38. Let l = 254 - 239. Is b(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 10:35 PM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 10.\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0827034 to 2 decimal places.\nAnswer: -1.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 3*h**2 - 7. Let r be t(-5). Suppose -2*d + r = d + z, 3*z = 2*d - 25. Suppose d - 44 = -5*q. Solve w = q*w - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbhwcywbhebcbwh. Give prob of picking 1 y and 1 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2. Let j(p) = -10. Let i(y) = -y - 1. Let m(q) = -12*i(q) + j(q). Calculate r(m(f)).\nAnswer: 288*f**2 + 96*f + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 842 - 3532*x**5 - 422 - 402*x + 1131*x + 1233*x - 421 wrt x.\nAnswer: -70640*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 27 = -3*h, 5*h - 2*o = 4*h - 1. Let n(g) = 4*g - h*g + 2*g - 4*g. Suppose 3*s + 0*s = 6. Let w(m) = -m + 1. What is s*w(l) - n(l)?\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1087136 + -6109.\nAnswer: -1093245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-3)\/(6\/2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (24 - 6)) + -1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z + 48. Let o(w) = -45 + 7*w + 0*w - 8*w - 3*w. Let v be o(-15). Let s be l(v). What is the highest common factor of s and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1920703\/78 + 24624. What is the common denominator of r and -71\/24?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tpnp when four letters picked without replacement from ytnnntypypn?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, b: 2, x: 1}. What is prob of sequence xbb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0496 + 0.0296. What is the second smallest value in -0.3, -1\/3, -5, k?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375*w - 392*w + 46206 = 224*w - 85*w for w.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3120 (base 6) to base 14\nAnswer: -37a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32224\/(-1216)*2\/(-53)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1526 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 48 - 2006*g + 0 - 16*g**2 + 1818*g = 0.\nAnswer: -12, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -113\/90?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 252 + 225)*(-2*l**4 + 0*l**4 + 0*l**4) + (1 - 3 + 0)*(0*l**4 + l**4 - 2*l**4).\nAnswer: -934*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1586086 and -0.4?\nAnswer: 634434.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -25 - 2 - (-556 - -505)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (1948\/(-143) + -4*(-18)\/936 - -6).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -3466, -5 in decreasing order.\nAnswer: 2, -2, -5, -3466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 5*m**2 - 2*m - 3. Let r = 23 - 18. Suppose 5*c + 40 = -5*v, c + 2*v = r*c + 14. Let a be g(c). Is 8 at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3*h = 8 + 8, -h + 6 = 2*o. Suppose 54 = 3*q + 3*r, -5*r + 50 = 5*q - o*q. Calculate the common denominator of (-6)\/q*590\/(-30) and 101\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a gram in milligrams?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277435091.\nAnswer: 971, 285721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2575 - -2610. Calculate the highest common divisor of f and 329.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*b**4 + 11*b**4 + b**2 - 7*b**4 - b + 3*b as s*b**2 + l + t*b**4 + r*b + g*b**3 and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78626.\nAnswer: 2, 39313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - z**2 + z + 2. Let r(w) = w**2 + 8*w - 2. Let h be r(-8). Let b be q(h). Solve -3*n + b = -2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*l**3*n**3 - 28*l**3*n**2 - 150947*l*n**3 - 156743*l*n**2 wrt n?\nAnswer: 36*l**3 - 905682*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/10)\/(3\/105).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 666804 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of d**6\/300 + d**5\/75 - d**4\/60 - 2*d**3\/15 - 124*d**2. Factor p(s).\nAnswer: 2*(s - 1)*(s + 1)*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 10017?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1386 divided by 6\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5*i - 10, 0*s - 3*s = -i + 8. Let n(b) = b**3 - 238*b**2 - 1213*b - 516. Let o be n(243). What is the third biggest value in o, 1\/2, 4\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 39476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -225?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 724666 to the power of 1\/2, to the nearest integer?\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 28, 0, 0.3 in ascending order.\nAnswer: 0, 0.3, 0.4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1054 - 2316?\nAnswer: -3403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/10 of a minute?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/6*-1*(-4)\/16*7.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 1:56 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = n + 4*x - 167, 0 = 2*n - 4*x - 394. Is n\/((-2 + 1)*-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4 - 3)*(0*w**2 - 5*w**2 - w**2)*(w - 1 + 1) to the form q + p*w + u*w**2 + i*w**3 and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -1, -4, 4, -294690 in descending order.\nAnswer: 4, -1, -4, -21, -294690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - (-2 + -5)) + 2. Let a(n) = 2*n**2 - 2 + 3*n + 0 + 5*n**2 - n**3. Is a(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9837, -9843, -9851, -9861?\nAnswer: -9873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14419 - -14423. Solve -3*g = f - 0*f, -s*g = -5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4312863 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 189149 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -495 = -20*b - 35. Find the third derivative of -b*n**3 + 8*n**3 + 33*n**2 + 15*n**3 + 138*n**4 + 161*n**4 wrt n.\nAnswer: 7176*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021200011 (base 3) in base 2?\nAnswer: -110001010111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 + -45\nAnswer: -45.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(n\/n**(3\/4))*n)\/n)\/(n*n\/n**(-2\/25)))\/(n**(-2\/3))**(-4\/5))\/(n**7\/n**3*n\/n**(-1\/5)*n*n**3) assuming n is positive.\nAnswer: n**(-3319\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + -3)*87\/(-3). Let f = o - 51. Let y = f - -22. Which is the third smallest value? (a) y (b) -2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27696127 and 949.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 + 83 = 11*c. Let u(g) be the second derivative of 0*g**c + 0 - 1\/20*g**5 - 8*g + 0*g**2 - 7\/12*g**4. What is the third derivative of u(z) wrt z?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7b828b - -4?\nAnswer: -7b8287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -254*(2 - -1)\/(-6). Suppose 4*u = 4*b + 52, -q + 38 = -5*u - b. Let x = 24 - u. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 3*z + 60 - 109 = 0, v = -3*z + 37 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 3*k - 1670. Suppose -k = -4*b - 291. Let g be 1*((-28)\/28)\/((-2)\/16). Calculate the greatest common divisor of g and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/7632149 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 2*m**4 + 0*m**4 + m - 7)*(2 - 2 + 3*m).\nAnswer: -6*m**5 + 3*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 160*i - 319*i + 159*i - 24*i**2. Let w(g) = -3*g**2. Determine p(w(y)).\nAnswer: -216*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(17) + -2 + sqrt(17))**2 - (0 + sqrt(17) + 2).\nAnswer: -21*sqrt(17) + 91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6735?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, l: 1, z: 3}. Give prob of picking 2 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 460*n + 460*n - 921*n + 5*l = 62, 0 = -26*n - l - 1743 for n.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v**2 + 4. Let n be y(2). What is the highest common divisor of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8 - 7)\/(0 + -1). Let n = c - -4. Solve -5*v = -y - 3, n*y = -2*v - 0*v - 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + (-376)\/(-24))\/(1\/(-3)). Is (10\/(t\/(-65)))\/(1\/211) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -63) + -33 - (-1 - -50)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -81, -74, -61, -42, -17?\n\"Answer: 3*r**2 - 2*r - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*n**6*t + 9*n**3*t + n**2 - 21*t - 4 wrt n.\nAnswer: -960*n**3*t + 54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 686.2 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 + 148. Let u be (-4)\/(-6)*9\/2. Let v be u*11*11\/33. What is the highest common factor of v and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(200) + -1 - sqrt(200)) + -3)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(4 - (-108)\/(-28)). Suppose 2*j - x = 3. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7237274, 7237272, 7237268, 7237262?\nAnswer: 7237254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 5:25 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1720 = 4*i + 3*p, 3*i - 5*p - 1329 = -39. Calculate the remainder when i is divided by 69.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*p - 2. Suppose -1 = 2*w - 7. Suppose f = w*f - 20. Solve p = 3*c + 3*s, -c + 4*s = -0*s - f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 55 + 8*k - 55. Let q(a) = 8*a. What is q(b(r))?\nAnswer: 64*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = -6*g + 9*y + 80334, 2*y - 8 = 0. Does 2 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/357 and 67\/66?\nAnswer: 7854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -51*z**3 - 25*z**2 - 21*z. Let u(h) = -17*h**3 - 6*h**2 - 7*h. Give 2*d(l) - 7*u(l).\nAnswer: 17*l**3 - 8*l**2 + 7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c - 1. Let u be z(4). Suppose -5*n = -0*y - 4*y - 17, 0 = 4*n - 4*y - 16. Solve 2*k + 4 = 2*g, -n - 4 = u*k - 4*g for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186159854 less than or equal to 186159855?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6*i + 5*u + 327 = 0, -5*i = 4*u + 411. Let w = -67 - i. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -23158 (b) -0.5 (c) 2 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 + -31. Suppose -u = -3*q - 2*q - p, -q - 34 = -2*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, p: 3, x: 1}. Give prob of picking 2 d.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11c - 5?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**2\/2 - 8955*q\/2 + 4476 = 0.\nAnswer: 1, 2984","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000275435 to six decimal places.\nAnswer: -0.000275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11054 - 11042.557. Let g = 0.036 - 0.093. Let w = u - g. Round w to 0 decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 9*w**2 - 11*w + 1. Let p be v(10). Let g be (-3)\/p*6 + (-1 - 1). Suppose 15*y - 20*y + 350 = g. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -10\/10137 and -0.2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 7:56 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1918 is divided by 77?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-6 + 3 + 2)*(-2 - 3 + 4) + 3 - 3 + 2 + 2 + 0 + 0)*(-24 - 12*a + 6*a + 21) as o + u*a and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - ((8 - 5) + -12)) + -9.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.3, -0.15 in ascending order.\nAnswer: -0.15, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/5)\/((-3)\/(-15)). Suppose -3*i + b*m = 0, 5*i - i = -4*m. Solve -3*u = -i*u + 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144792690 rounded to the nearest one million?\nAnswer: 145000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1587997 by -1.\nAnswer: 1587997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 2*i + 2*b, 3*i - b + 56 = -5. Let p(h) = 9*h + 4. Let m be p(3). Let w = i + m. What is the highest common divisor of 24 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -322 - -5?\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f - 3. Suppose 0 = 3*b - 1 - 5. Suppose k = 1 + b. List the prime factors of a(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 18*b + 19. Let w be q(-26). Suppose -w = 19*h - 1291. Which is bigger: h or 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*k**2 + 18*k - 18*k**2 - 19*k + 1066*k**3 - 1105*k**3 to the form t + p*k + h*k**3 + q*k**2 and give q.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107514 is divided by 39.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3*a**4 - 63*a**3 - 792*a**2 - 588*a + 1440 = 0.\nAnswer: -8, -2, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1230032 (base 4) to base 15.\nAnswer: 20bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 6:29 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 663352205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4541705 at least as big as 3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.900401 - -3.9. What is w rounded to 5 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27390 is divided by 4723.\nAnswer: 3775","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1143707 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17703*i**4 + 69*i**3 - 2480523*i**2?\nAnswer: -424872*i + 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0222 - -2.0222. What is the second smallest value in -13, w, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of ((-5660)\/(-40))\/(1\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(6*(-5 + 3 + sqrt(68) - 1*sqrt(2448)*-4))**2 + 2.\nAnswer: -4590430 + 21600*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 619002161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 6*h**2 + 5*h - 8. Let a be q(4). Let g be ((-95088)\/a)\/(-6)*(-1 - 4). Suppose 1265 = -3*m + g. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(-1 - 16\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -508326 divided by -4\nAnswer: 254163\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1066411507*f**4 + 94511*f**2 - 1783.\nAnswer: -25593876168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1814939614 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -437*i**3 - 9*i + 7. Let p(b) = -218*b**3 - 5*b + 4. Give 9*p(g) - 5*r(g).\nAnswer: 223*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0 + 16 + -5 + -16\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 434627, 434950, 435493, 436256, 437239, 438442?\nAnswer: 439865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -853024*c - 1394601?\nAnswer: -853024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 695 is divided by 37.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 233 - 236. Let j = 15 + -6. What is the smallest value in u, j, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40252*b + 1277?\nAnswer: 40252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 492*z**3 + 398*z**3 - 875*z**3.\nAnswer: 15*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/319430 and 32\/65?\nAnswer: 4152590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 228937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/5 of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.7 - 3.7. Sort 2\/3, q, 0.5.\nAnswer: q, 0.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 91660645 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -832\/5 - -167. Let z be (-21)\/2*8\/(-6). Let g be ((-6)\/8)\/((-21)\/z). Which is the third biggest value? (a) 1\/4 (b) g (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1110 = 17*u - 23*u. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 138283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 129282 divided by 21547\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - z + 28 = -6*z, 2*w - 2*z - 12 = 0. Let g(v) be the first derivative of -19*v**2\/2 - v + 1. Calculate the lowest common multiple of g(-1) and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3583, 7501, 11417, 15331, 19243?\n\"Answer: -s**2 + 3921*s - 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**3 + 3*k**2 + k + 1. Let p be x(-2). Let z be p*(1 - (0 - -2)). Suppose z*a + 10 = 0, 4*f = 3*f - 2*a + 1. Solve 6 = f*r - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (96\/(-27))\/(-78 - 140300\/(-1800))\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + r - 1. Let m(v) = -4*v**2 + 6*v + 1. Let o(c) = 3*h(c) - m(c). Factor o(k).\nAnswer: (k - 4)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (54\/(-27))\/(1\/(-4754))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*f - 1520 = -1975 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272785 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*g**3 + 22*g**3 - 74*g**3 + 16*g**3 + 20*g**3.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*l - 41*l + 2*m - 33, 0 = l + 2*m - 3 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7644 = 29*f - 40*f + 37*f. Calculate the remainder when f is divided by 31.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 77418 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 525.6699 litres?\nAnswer: 525669.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -68 divided by 4\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - -14.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*j - 14839 = -14371 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -12. Let k be ((-2)\/6)\/(m\/(-36)). Suppose -k*d + 5*d - 72 = 0. Is 20 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394*v + 5*q - 13 = -390*v, 5*v - 5*v = v - 4*q + 17 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-329)\/47*45\/63.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22460 divided by 4492?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 33345 (base 10) to base 13\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-9))\/(12\/(-18)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0. Suppose -3*z - 3 + w = 2*h, -5*h + 9 = 2*z. Let g = z + 5. Solve -g*t = -q - 1, -q - 2*t - 2 = -1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 + -37. What is the remainder when (-11)\/(i\/24) + 1 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 3808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 263670 and 235.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**7\/2520 - n**6\/90 + 3*n**5\/40 + n**4\/4 + n**3\/3 - 3*n**2. Let l(r) be the second derivative of w(r). Calculate l(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 2*j + 6 = 0, 17 = -3*j + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 20*j - 24*j. Suppose -3*f - 32 = 43. Let o = f - -20. Which is the smallest value? (a) 2 (b) o (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 18\/4)\/(8*(-33)\/3520).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 4)*(-3*b + 2*b - 5*b)*(-14*b - 15*b + 41*b).\nAnswer: -72*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 14125252 divided by 4\nAnswer: 3531313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -1) + 15\/(4 + -1). Suppose -a*v = -26 + 6. What is the second derivative of -4*i + 3*i - 29*i**v + i + 14*i wrt i?\nAnswer: -348*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.16 to 1 dp.\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**2 + 71 + 1031187*n - 1031187*n to i*n + y*n**2 + p and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 214338 and 4309.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -3. Let s(w) = 10*w + w + b*w. Let i(c) = c**2. Determine i(s(q)).\nAnswer: 121*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 1. Let s(a) = -15. Let f(d) = -s(d) + 4*x(d). What are the prime factors of f(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 919774320?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -157 and -14.\nAnswer: 2198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 54 (b) -0.0414 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21975 + 1849 + 24476 = 2100*w for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tku when three letters picked without replacement from kuut?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1372*j - 689*j - 2 + 26*j**2 - 684*j to the form f + q*j**2 + d*j and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*x - r - 80 = 22*x, 46*r + 4194 = -3*x + 514 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -2*w + 3*w - 5, 6*w - 8*w - 2*w - 3*g + 20 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*q - 9*q - 1 + 4*q**2 + 39*q**4 + 10*q - 78*q**4 + 38*q**4 - 6*q**3 as k*q**3 + b + g*q**2 + i*q + p*q**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 1\/2*k**3 - 1\/20*k**5 + 0 - 5\/2*k**2 - 20*k - 1\/4*k**4. Determine v(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2375 + -2374. Let o = 0.1 - 0.1. Let s = o + 0. Which is the third biggest value? (a) s (b) 0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 10*s**7\/21 + 3*s**5\/20 + s**3 + s**2 - 51*s. What is the second derivative of m(c) wrt c?\nAnswer: 400*c**3 + 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45633 at least 45638?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cssc when four letters picked without replacement from {s: 8, c: 3}?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twwtmmgwatwtgtnwgwww. What is prob of sequence wm?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/8*b**2 + 0*b.\nAnswer: b**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1605 - 1563. What is the highest common factor of 1092 and v?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x - 11. Let g(p) = 2*p + 5. Let y(f) = -5*g(f) - 3*q(f). Let l = 13 - 8. Let o be y(l). Solve -8 = o*i + i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3*(-49)\/(-21)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23207*q**2 + 45248*q**2 - 16 - 22048*q**2 + 16.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*m + 3564*m - 967*m - 1072*m.\nAnswer: 1301*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3.5, 14, -194, -18\/5?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 - -43. Solve -3*j = -z - 17, 3*z - 3*j + 31 = v*j for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -1 + b + 0*b + 2*b**2 - 5*b**2 - 2*b**3 + b**3. What is the units digit of n(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 23801, 190394, 642577, 1523144, 2974889, 5140606, 8163089?\n\"Answer: 23799*c**3 + c**2 - 3*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (0 - -2 - (-1 + 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 152248849 by 337.\nAnswer: 451777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -64*k + 578. Calculate w(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12661 plus -0.1?\nAnswer: 12660.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -228*z - 1348. Let u be c(-6). Solve -10*y + 2*k + 10 = -8*y, 4*y = -2*k + u for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -24. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 18\/21) + 7446\/1533?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185*z**3 + 390*z**3 + 408*z**3 - 63*z**3.\nAnswer: 920*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-16 + 28 + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 7*i + 249. Let g be u(-33). Let w be 4\/1 + 3 + -2. Suppose -w*s = -g - 2. Solve -s*k - k + 5*t = 35, -2*k = -4*t + 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37589?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 14, 0.4, 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 155744?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + 3b?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-16)\/((-5)\/(60\/(-102))).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -86\/143685 and -14\/8649.\nAnswer: 4454235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 11. Let v be c(8). Differentiate 8*a**2 + 5 + 5 - a**2 - v with respect to a.\nAnswer: 14*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 - 2)*(8*x - 24*x + 2*x) to u*x + c and give u.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 o when three letters picked without replacement from orroroo?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 2*x + 10, -2 + 7 = -3*x + 4*z. Solve 0*v - 25 = x*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*i - 3 - 6*i + 4*i + 11*i in the form d + j*i and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(17))*-6 + 1.\nAnswer: -6*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 2*z - 9. Let x be g(7). Suppose 6 = 2*s - 4*f - x, 4*s = -2*f + 64. Solve -y = 3*y - s for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) - (sqrt(1100) - (sqrt(1100) + 0)))*3.\nAnswer: 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -26*((-16)\/(-18))\/4. Let y = p - -637\/90. Calculate the common denominator of y and 5\/(-3)*4601\/(-430) - -7.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 11*f. Let t(h) = -90*h**2 + 181*h**2 - 89*h**2. Determine p(t(l)).\nAnswer: 22*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 24. Let a be (i + (0 - 2))\/3 + 2. Suppose a*m + 8 = 0, -4*d + 2*m = m - 20. Solve n + 4*n = d*l - 12, 0 = 2*n - 2*l + 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)*1 + 0 - sqrt(147))**2*5 + (-4 + -1*sqrt(192) - 5*(sqrt(192) - (1 + sqrt(192))))**2.\nAnswer: -16*sqrt(3) + 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -6*k**2 - 49*k + 6. Let r(g) = -g. Determine r(q(t)).\nAnswer: 6*t**2 + 49*t - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 0 + 0*f + 1\/24*f**4 + 5*f**2 + 1\/120*f**5 + 0*f**3. Solve a(i) = 0 for i.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 5 - p**2 - 4*p**2 + 4 as l*p + z*p**2 + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2077561694?\nAnswer: 2, 13, 683, 116993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42121977 by -3.\nAnswer: 14040659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/12 + -1)\/(3\/(-12)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 11. Let m be 7 + -12 + 60\/(-1). Let k = m - -70. Sort l, k, 9 in decreasing order.\nAnswer: 9, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 4 (c) -2735\/11 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-34))\/(4620\/26180)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1011 (base 2) to base 10\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, k: 10, r: 2}. Give prob of picking 2 z and 1 r.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14807716?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.224607 and 0.1.\nAnswer: -0.0224607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 182.90896 - 183.2. Let l = -28.29 + 28. Let f = a - l. What is f rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -255 + 275 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -22*i + 262. Determine j(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 - 8*i - 20. Let s be p(6). Suppose 0 = -2*c + s*h - 10, 6*h = 5*c + 2*h + 7. Do c and -25 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**2 + 55*q - 3951. What is the tens digit of h(-118)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/20 and -31\/222?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(336) - sqrt(336)*2) - -2*sqrt(336)*6)\/(sqrt(14)\/(5*3*sqrt(2))))**2.\nAnswer: 388800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 66047 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21300301220131 + -2?\nAnswer: -21300301220133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32180 + -868919\/27. Calculate the common denominator of v and 67\/240.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*h - 120*h - 152*h - 9*h**2 + 3*h**2 + 4*h**2 + 348*h.\nAnswer: -2*h**2 - 56*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 6:06 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2484531?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -7. Let p(b) = -5*b - 3. Let j be p(-3). Suppose 2*c + 3*i = 6*i - 8, -4*i + j = -3*c. Put g, c, -3 in increasing order.\nAnswer: g, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/5*30\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(170)\/(sqrt(90)\/(sqrt(36)\/sqrt(4))) - (4*(sqrt(425)*1 - sqrt(425) - sqrt(425) - sqrt(425))**2 + sqrt(425) + sqrt(425) - sqrt(425))*-1.\nAnswer: 2*sqrt(17) + 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -10*v**2 + 85. Let c(k) = 7*k**2 - 57. Let w(n) = -7*c(n) - 5*j(n). Let i be w(0). Does 13 divide 8\/((-82)\/i + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101000112 (base 3) in base 4?\nAnswer: -12211223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1322*a + 22971 - 7107 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 57\/114 - (-1)\/(96\/(-58)). Let t = 105 + -1681\/16. Let w = t + o. Is -1\/5 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -29*v. Let h(g) = -6*g + 16. Calculate r(h(z)).\nAnswer: 174*z - 464","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -90\/15342833 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -173 - -201. Let x be (-10)\/15*(-461 - 1). What is the highest common factor of u and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (4\/(-2) - 0). Suppose -n*c = -3*l - 4, -2*c - 4*l = -8*l - 12. Is c greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 293113*a**5 + 3*a**4 + 2*a**3 - 12*a**2 - 34534?\nAnswer: 17586780*a**2 + 72*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2 - -8) + -5)*5. What is the second biggest value in 0, p, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -71a - 352242?\nAnswer: -352960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19.03 + 90.67. What is c rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 4*b + 196, -15*b + 195 = 5*s - 10*b. Solve -5*k + s = 4*q, -4*k = -q + 3*q - 26 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/2 - 34404167*k**2\/2 - 147955829769444*k + 147955846971528.\nAnswer: -(k - 1)*(k + 17202084)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (111\/1295)\/(-1*(-18)\/30).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 + 10?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(2\/3))**(2\/9)*i**(7\/3)*i\/(i\/i**(-1\/4)))**(1\/4) assuming i is positive.\nAnswer: i**(233\/432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 811613175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29732 - -29731.91. Which is smaller: n or -47\/3?\nAnswer: -47\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 213 - 209. Solve 6*r - k = 7*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*k + k + k)*(4 - 4 - 2)*(1 - 3 + 4)*(-7 + 3 - 3) as n*k + b and give n.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1280 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3\/5 + 197651*m**2\/5 + 8300019*m\/5 + 87145569\/5 = 0.\nAnswer: -197609, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 4623968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n + n - 3*n + 5*n.\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29290 by 505.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 264.5 - 265. Let i = 1.02 - 0.02. Let x = i + -4. Which is the closest to -2\/5? (a) z (b) x (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 1321 = -3055. Let f(b) = 55*b - 1243. Let d be f(62). Suppose 0 = -3*x + d + a. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 8 = 5*u + 10, 2*w + 2 = -3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 2*o = -q - 1, 4*o = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396403186.\nAnswer: 2, 83, 2387971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 - 25507?\nAnswer: -25495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 1 - ((-3 - -7) + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*q - 69*q + 66*q)*(3*q - 2*q + 3*q)*(-2*q**2 - 2*q + 2*q)*(7*q - 2*q - 3*q).\nAnswer: -432*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -22031.9 * 408\nAnswer: -8989015.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-14) - 52\/(-14). Let u = k - 1. Suppose -u = -b + 2. Solve -b*c = 5*h + 10, 4*h = h - c - 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(-2 + 200\/102). Let i = 6 - -0.1. Let z = -1.1 + i. What is the closest to -1 in z, -0.1, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, 2\/7, 5, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c + 10*c - 4 + 7 - 5*c. Let k(s) = s + 3. Let i(x) = -4*k(x) + 3*y(x). Determine i(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**9\/60480 - r**8\/4032 + r**7\/720 - r**6\/720 + r**5\/30 + 2*r**2. Let x(i) be the third derivative of o(i). Is x(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ueve when four letters picked without replacement from evbvveuv.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 6*o + 1. Let l be v(-6). Suppose t = -2*r + 32, -2*t + 5*r + 94 = 3*r. Calculate the remainder when t is divided by (-5)\/((-3)\/(10 - l)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*m - 1 + 10*m - 3 + (2 + 0 + 0)*(-m + 3*m - 4*m) + 1 - 1 - m to the form n + u*m and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101111100001010101 (base 2) to base 9.\nAnswer: -1315164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*p - 20 = 67*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 230*s**2 - 10*s + 10. Let a be i(-3). Let d = a + -2106. Solve -4\/7*t**2 + 8\/7*t**3 - 8\/7*t + 0 + 4\/7*t**d = 0 for t.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 6:36 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 1 + 100. Let v = 3566 - 3540. Calculate the remainder when r is divided by v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205755023?\nAnswer: 491, 419053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**5\/20 + d**4\/2 - d**3 + 7*d**2\/2 - 38*d. Let r be l(5). Solve r*x + x = -4*m + 11, 4*x - 8 = -4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(-208)\/56*-7*6\/24.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 + 5*x - 6. Let s be l(6). Let v be 12*5\/35*(1 - -6). Calculate the highest common factor of s and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 238873 times 0.2\nAnswer: 47774.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102903, 457, 1 in descending order.\nAnswer: 102903, 457, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 4)\/(2\/(-10)). Let s(l) = 63*l - 35. Let z be s(v). Calculate the remainder when (4\/16)\/((-5)\/z) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**4 - 2*a - 1031 - 1028 + 2051 + 2*a**2 + 9*a**3 to n*a + p*a**4 + t*a**2 + z*a**3 + f and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 2\/7 (c) -22174\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*x + 15. Let m be 1\/((x - -2)\/(-10)). Suppose -258*i - 6*i + 528 = 0. Solve 2*p = -10, 4*p + m = 5*a + i*p for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 y when three letters picked without replacement from ppfmfjfyjpyjym.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -21489*i. Let j(c) = -c**2 - 2712*c. Give j(v(r)).\nAnswer: -461777121*r**2 + 58278168*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.14 and 44.\nAnswer: -182.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 454072 and 123224?\nAnswer: 1688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 214.\nAnswer: -3, 0, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 275373 (base 11) to base 14.\nAnswer: b346b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**4 + 189432*z**3 - 27904128*z**2 + 1368243464*z - 22355662980.\nAnswer: 4*(z - 49)**3*(z + 47505)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**5 + 0*v**2 + 0*v**2 - 3*v**5 + 3*v**4 - 3*v**4 + (-4*v + v**5 + 4*v)*(-2 - 2 + 5).\nAnswer: -4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vzvuua. What is prob of picking 2 v and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 5*r - 38. What is i(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*f + 550 - 294 = -516 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3093.073436 + -3093. Round h to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3980 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 d when four letters picked without replacement from {c: 4, d: 16}?\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1934.05 + -1941.05. Let x = 0.43 + -0.03. Let j = -0.1 - x. What is the biggest value in w, -1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**2 + 41*k + 105. Calculate o(23).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6a9 + 5?\nAnswer: -6a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2683115 years to months.\nAnswer: 3.219738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 c when three letters picked without replacement from {q: 1, c: 4, v: 4, x: 6}.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0)**(-12)*(c**(1\/3))**0 assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 79*v**6\/1020 - 473*v**5\/255 + 235*v**4\/17 + 24*v**3\/17 + 2306*v**2 - 2. Factor d(t).\nAnswer: 2*(t - 6)**2*(79*t + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -268181.7 + -12618912.3. Let y = -12887088.9999924 - a. Let k = y - 5. What is k rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 8*j - 274. Let m(t) = -t**3 + 31*t**2 - 30*t + 28. What is the remainder when 73 is divided by m(j)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 4, 7, -5, 2 in decreasing order.\nAnswer: 7, 4, 2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - f. Let h(m) = -m + 10. Let x = 21 - 15. Let s(l) = 1. Let u(p) = x*s(p) - h(p). Give u(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = -3*j + 3*z + 66, -101 = -5*j + 4*z. Suppose -3*i + 9 = -j. Solve i*c = 5*c - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 23*z**2 - 100*z - 437. Give f(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -35. Let p = 15 + -1. Calculate the highest common factor of p and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*k - 71 = -19 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2 + 25 = c, -4*c + 16 = -s. Let d = -6 + 6. Let x = s + d. Sort -1, 3, x in increasing order.\nAnswer: x, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -82*k + 1. Let a be z(1). Let t = 83 + a. Let b(w) = 4*w**2 - 3*w - 1. Calculate the remainder when 44 is divided by b(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -115 - -127.9. Let n = b - 12.9154. What is n rounded to 3 dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*z + 70 = -6*l, 49 = -2*l + 5*z. Let o = 10 + l. Is 6 a factor of o\/15*(-10)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w**3 + 15*w**2 - 12*w + 14. What are the prime factors of i(10)?\nAnswer: 2, 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 164\/40)*27\/54. Let d(k) be the second derivative of 0*k**2 - v*k**5 + 0 - 7\/6*k**4 + 3*k + 0*k**3. What is the third derivative of d(m) wrt m?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23325738.52 + 10.\nAnswer: 23325748.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -228.2 - -121.03. Let y = m + 0.17. Let f = y - -112. Which is the nearest to 1? (a) 2\/3 (b) f (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 3*v - 517759 - 108849, -626617 = -w + 4*v. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32159567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/186586988 and -17\/112.\nAnswer: 746347952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.915 and 7537?\nAnswer: 7534.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70750\/3 - -23586. Let a(m) be the first derivative of -32*m + 8*m**2 - m**4 + 1 + t*m**3. Factor a(i).\nAnswer: -4*(i - 2)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2068951 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 692, 691, 690, 689, 688?\nAnswer: 687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q - 41. Let p be f(0). Let y = 545 - 536. Let s = y - p. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*-32\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.19 + 0.11. Is u at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*(-108)\/30*(23780\/(-174))\/82\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25 and 0.132609?\nAnswer: -3.315225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 - 39. What is the third derivative of 44*h**2 - p*h + h**4 + 15*h**3 - 16*h**3 - 43*h**2 - 33*h**3 wrt h?\nAnswer: 24*h - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*c + 43*c - 32*c)*(1 + 1 + 0)*(-55*c - 9*c + 27*c) in the form f + l*c**2 + y*c and give l.\nAnswer: -2072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28622114 or -2\/7?\nAnswer: -28622114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 14572 (base 8) to base 5\nAnswer: 202042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -r - r. Let g = r + -20. Let w = 10 + g. Solve 0*b = -3*o - b - 12, 32 = -w*o + 4*b for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3*36\/(-42)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -21782 and 14.0493.\nAnswer: -21767.9507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 3*d - 47. Let h = 53 + d. Factor -4 - 5*w**2 - h*w**2 + 12*w**2.\nAnswer: (w - 2)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 5*r**2 - 6*r + 5. Let j be z(6). Let h = j + -3. Let c = 144 + -136. Solve h*y + c = -0*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 9483439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*l*t**3 - 4*l*t + 435647*l + 453916502*t**3 with respect to l.\nAnswer: 5*t**3 - 4*t + 435647","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -139, 5, 2 in ascending order.\nAnswer: -139, -3, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2)*m**4)\/((m\/(m*m*m*m**(-1\/4)*m*m)*m)\/m)**(-5)*((m**(-2\/7)*m)**(32\/7))**(-24) assuming m is positive.\nAnswer: m**(-18643\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k**2 + 9*k**2 - 4*k**2 + 2)*((-k - k + k)*(0 + 1 - 3) + 3*k - 3*k - k - 250*k + 307*k + 326*k) to the form p + t*k + l*k**2 + b*k**3 and give t.\nAnswer: 768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -149, -218?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 161, 320, 479, 638, 797, 956?\nAnswer: 1115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 9:32 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 136020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31270?\nAnswer: 2, 5, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-one quarters of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 7*x**2 + 6*x + 9. Let z be q(8). Let b = z - -11. What is the smallest value in b, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -179 + 178.6. Sort w, -6\/19, 0.4.\nAnswer: w, -6\/19, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 44, -3610 in increasing order.\nAnswer: -3610, 1, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 10. Suppose 4*u + u = 0. Suppose 0*q + 6*q + 48 = u. What is the remainder when 71 is divided by s(q)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 5:51 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (6 - (-5 - -8)) + -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w - 3. What is x(6)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*w - 4*w - 2470934 = 0. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/9*-12*17\/(-34).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -108 (c) -1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -3*c - 20. Suppose 0 = -c*x + 4, 0 = -2*l - 3*x - 2*x - 55. What are the prime factors of (-295)\/l + (-2)\/(-12)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-81)\/(-12)*129580\/15345\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 24 * -7767537\nAnswer: -186420888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - c = 365286. Let d = 181524 + c. Let v = 101762 - d. What is v rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/(22134\/36)*14\/6?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 9*w**2 - w - 7. Let g be b(-9). Let u(n) be the second derivative of 1\/27*n**3 + 0 + n + 1\/9*n**g - 1\/54*n**4 - 1\/90*n**5. Factor u(z).\nAnswer: -2*(z - 1)*(z + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 12 = -2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, d: 5, c: 1}. Give prob of picking 1 d and 1 m.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 5:57 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 333, 0, -1, 4 in ascending order.\nAnswer: -1, 0, 4, 333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/78*18*(1539\/1520*-4 - -4).\nAnswer: -6\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -55a6 + -6409?\nAnswer: -10a04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -4\/7, 1924\/57, 4\/3, 9\/7?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01557 + 0.0124. What is z rounded to four decimal places?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 0 - 13*u**2 + 0*u + 6\/245*u**7 + 16\/105*u**5 + 0*u**3 + 1\/10*u**6 + 2\/21*u**4. Determine r, given that n(r) = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = i - 11 - 1, 0 = -4*c - 4*i. Is ((-1)\/(-2) - 0)\/(c\/(-7662)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1166, -2394, -3622, -4850?\nAnswer: -6078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j*j**(-10\/3))\/j*j**(-2\/21)\/j*(j*j**(1\/2)*j)\/j**(-10\/7) assuming j is positive.\nAnswer: j**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -162*-0.0492.\nAnswer: 7.9704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 0 - 2 = 4*h, 3*g - h = -3. Let t be (-16)\/56*(-1 + 3 - 3). Which is greater: t or g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-96 + 96 - 8*x)*(4*x**3 - 2*x**3 - x**2 + 3*x**2) in the form k*x**4 + z*x**2 + y*x**3 + d*x + w and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1177 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 9*x = -1029. Let d = x + 505. Let h be 10\/(-45) - d\/9. Calculate the greatest common factor of 87 and h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 253 + -249. Let a = 40 - 24. What is the smallest common multiple of a and u\/12 + ((-140)\/6)\/(-2)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2896 = 54*h - 75148. List the prime factors of h.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 5*r - r**3 - 2 - r**2 + 0*r**2 + 3 = 0. What is r?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48 - (19 - -6)) + -16?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*s = 71, -s = -5*h - 2*s + 63. Suppose -u + 5*z = 23, 4*u + 0*z = -z + h. Solve -46 - m**u - 4*m**2 - 20*m + 26 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(4\/5)*((-1848)\/77 + -88 + 110)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 + 35253292591.\nAnswer: 35253292604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9219 (b) 0 (c) 1\/8 (d) 155.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31956 is divided by 1182.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120082 by 173.\nAnswer: -120082\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29826 - 16726. What is w rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 3*h**2 - h - 4. Let u be 2 + 1 - (-3 + -5*9). Suppose 11*d - u + 18 = 0. Give x(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: What is the closest to -0.7 in 11, 2\/3, -3\/5, -7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28360 to the power of 1\/2, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 15. Let m = -0.109185 - -0.409185. Which is the closest to 1? (a) q (b) 1 (c) m (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9271.916km?\nAnswer: 9271916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 9*q + 42. Let h be ((-32)\/(-112))\/(2\/14) - -21. List the prime factors of f(h).\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-2 - (-3 - 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 28*u - 4 + 6*u + 1.\nAnswer: 34*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13708 * 0.4.\nAnswer: -5483.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -3, -1, 16.2, 1\/12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49866 - 33907. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -79 (b) -0.8 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 - -3.98. Let w = 19 + -19.1. Which is the nearest to w? (a) -0.5 (b) k (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54821059*q**4 + q**3 + 11153477*q**2 + q?\nAnswer: 1315705416*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3*(sqrt(432) + -1) - -1*(0 + sqrt(432))) - -6*(sqrt(432) + 1*sqrt(432) + -2 - 3*-1*sqrt(432)))**2.\nAnswer: -21888*sqrt(3) + 624384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 17. Let l be (-18)\/24*(8 + 0). Let f be l\/10*6\/r. Which is greater: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28.5 - -29.408. Let g = d + 0.092. What is the second smallest value in 0.06, g, 0.4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zgg. What is prob of picking 1 g and 1 z?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-70) - (-4)\/(-14).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 3)*(-5 + 0 + 4) - 1 - 2 + 2 + 4 - 3 - 3 + (-4 + 3 + 0)*(-3 + 5 - 4))*(-3 + 3 + u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 14 = -8. Let o be 4\/2 - (-50)\/j. Let x = o - -39\/22. Which is the third biggest value? (a) 3 (b) x (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5, 127, 329, 611?\n\"Answer: 40*s**2 + 2*s - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*n + 100 = 0, 2*w - 2*n + 6*n = 42. Let f = 30 - w. Suppose 5*i + 10 - 60 = 0. Are i and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -83 - -111. What is the lowest common multiple of x and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 4) + (3 - 2 - -7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from etltvet. What is prob of sequence vt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 431747174 to the power of 1\/4, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvof when four letters picked without replacement from wfwwvvvoowwfwwwf?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h - 4*h + h)*(-1 - 1 + 5) + 0*h + 2*h - 4*h + (0*h + 3*h - 2*h)*(-2 + 5 - 2) + (2 + h - 5 - 3*h)*(-51 - 60 + 471) to v + g*h and give v.\nAnswer: -1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, q: 1, i: 6}. What is prob of sequence mi?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 14. Solve 0 = -g - u - 0 - 7, 0 = -5*u - f for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-1))\/(80\/16)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -6*q + 12. Suppose 3 + 7 = -2*u. Does 17 divide h(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 27*t**2 - 5. Let z(r) = r - 19. Let j be z(13). Is u(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i + 3. Let o(x) be the third derivative of -7*x**4\/24 + 5*x**3\/6 - 91*x**2. Suppose -3*l + 6 = -5*l. What is l*o(u) + 5*h(u)?\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) 28 (c) 1.23 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 856121455 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) - 1*sqrt(112))**2 + sqrt(112) - -3*sqrt(7)*-2.\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 5*a**2\/2 - 5*a - 11. Suppose 0 = 2*o + 2*o + 44. Let y(q) = 2*q - 1 - 1 - 4 + 4. What is o*y(c) + 4*w(c)?\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + x**2 - 6*x**2)*(2*x**2 - 673*x**3 - 2 + 5 + 675*x**3).\nAnswer: -12*x**5 - 12*x**4 - 18*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 495 is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2 - 3 - 4 - 6*j**2 + 11*j. Let c(k) = -2*k**2 + 4*k - 2. Suppose 5*a = 4*a - 11. Let n = -1364 - -1368. Give a*c(q) + n*w(q).\nAnswer: -2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -389 = -6*a - 407. Sort a, 3, 0.02 in decreasing order.\nAnswer: 3, 0.02, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/157196 and -87\/1300.\nAnswer: 3929900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 5*g + 18376, n + 2532 = 2*g - 3594. Let a = n - -85781\/14. Let i = 113\/580 + 77\/29. Calculate the common denominator of a and i.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwrbrrjjr. What is prob of picking 1 b and 1 w?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 6:08 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12223371 divided by -123?\nAnswer: -99377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imidgitikdtdtkt. What is prob of sequence ig?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11499317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1848*u = 1858*u - 250. Solve b + 24 = u for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**3 + 8*b**2 + 67*b - 218. Give s(7).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155338.\nAnswer: 2, 101, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 0*c - 5*c + 2*c - 5. Let v be t(5). Suppose 5*b = 5*u + 25, -3*b + 13 + 2 = 5*u. Put 1, u, v in descending order.\nAnswer: v, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -15. Let t = h - 7. Is 2\/t + 65\/15 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/405 and -68\/12555.\nAnswer: 12555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 213210 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8072, 8074, 8076, 8078, 8080?\nAnswer: 8082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - -5) + (69 - -17). Calculate the greatest common factor of 1748 and m.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 6*p + 9*p + 54, 3*p + 9 = 0. Suppose -69 - 75 = n*d. Is d at least as big as -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f\/(((f\/f**(-1\/3)*f*f)\/f)\/f)))\/((f**6\/f)\/f))**(-26)\/((f**(-1))**(-44))**(-1\/3) assuming f is positive.\nAnswer: f**110","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4 + 0 - m - 5. What is the common denominator of s(4) and -67\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a milligram in nanograms?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -72460.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25524, -25531, -25532, -25521, -25492, -25439?\nAnswer: -25356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 3, -3*k - 3*r + 6*r = -72. What is the common denominator of 41\/11 and (-1)\/(-5) - (-30)\/k?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17815 divided by -7218\nAnswer: -17815\/7218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - f**2 - 3*f - 5. Determine v(-4).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (134 - 429 - 138)*(-2*a**5 + 0*a**5 + a**5).\nAnswer: 433*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 3*x**2 - 75*x + 267. Determine i(6).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 861?\nAnswer: 7749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000254461716 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81158 and 22417934.\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -384*y**2 - 11339*y**3 - 149*y**2 + 5655*y**3 + 5659*y**3 as t*y**3 + c*y + v + l*y**2 and give l.\nAnswer: -533","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**(-8))*d)**(-1) assuming d is positive.\nAnswer: d**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/12*16\/80. Let d be 6\/10 + (-2)\/(-5). Let v = -0.5 - -1. What is the second smallest value in x, d, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*m = -29*m - 15. Let k be 3\/60*m*2. Solve 3\/4*o**2 + 0 - k*o = 0 for o.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76c8 (base 15) to base 11\nAnswer: -179a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -2 + sqrt(16)\/sqrt(8) + sqrt(2))*-2.\nAnswer: -6*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 785*v**2 - 2*v. Let k(z) be the first derivative of -z**2 + 390. What is k(h(y))?\nAnswer: -1570*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -574 + 577. Let i be x + 8 + (6 - 14). Let s(b) = -6*b + 4. Calculate s(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20569 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.279 - 30.721. Let h = 10 + -6. Let s = -5 + h. Which is smaller: k or s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 110004, 0.3, -0.1, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vciycccgy. Give prob of picking 1 v, 1 i, and 1 g.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/4 - 300834*g - 30167031852.\nAnswer: -3*(g + 200556)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + -2*((-1*sqrt(7))**2 + sqrt(7)) - ((sqrt(84)*1)\/sqrt(12) + (sqrt(28)*3 - sqrt(7))**2)) + -2.\nAnswer: -191 - 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 6:26 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, -4, 3, -572, -29 in decreasing order.\nAnswer: 5, 3, -4, -7, -29, -572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.64519 centuries in years?\nAnswer: 6964.519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-2\/5))\/q**(18\/5)*(q*(q\/q**(-11\/7))\/q*q)\/(q\/q**(-5\/3)) assuming q is positive.\nAnswer: q**(-23\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 5039\nAnswer: 5039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**3 - 7*g**2 - 5*g. Let t(f) = 9*f**3 + 28*f**2 + 19*f. Let z be 5*(2 + -1) - -1. Let y(r) = z*t(r) + 22*d(r). Solve y(x) = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*s = -55, 2*f + 0*s = 4*s. Suppose -h = 1 + 1, 5*z + 5*h + 10 = 0. Let b(v) = -v + 3. Let m be b(z). Solve t = -0*p - 4*p + f, 3*p = m*t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1766572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3563\/421 equal to -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 13*v**3 - 21*v**2 + 18*v + 18. Does 94 divide y(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 8694812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l + 7. Let m(j) = -2*j**2 + 62. Calculate m(v(i)).\nAnswer: -18*i**2 + 84*i - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37186845?\nAnswer: 3, 5, 29, 85487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*r + 14 = 150*r - 2*h, 19 = -r - 3*h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 68 divided by 34\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -1\/4, -0.34, -0.1, 0.4?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4\/5)*u*u**(-4)\/u)\/(u**(-2\/7))**(-2\/33))**(-22) assuming u is positive.\nAnswer: u**(11128\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 27593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 14*q + 16. Let x be a(13). Suppose 0 = 3*g - x*h + 11 - 44, 3*h + 48 = 4*g. What is the remainder when g is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282987370.\nAnswer: 2, 5, 28298737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 - 6*x. Let s be k(-3). Solve s = 5*v - 0*v + 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47609754044.686 + 47824230638.685363. Let s = v - 214476802. Let f = -208 - s. Round f to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 9. Let r = 230 + -228. Suppose -2*y = -5*i + 3*i - 10, 5*i = -r*y - 25. Sort i, 0, -2, z.\nAnswer: i, z, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73 + -44. Let i(q) = -q**2 - 20*q - 56. Calculate the remainder when x is divided by i(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 6:29 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2763*x**4 + 605*x**3 + 1170497*x**2 + 1.\nAnswer: -66312*x + 3630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = -i - 5*i. Suppose -i = -6*p + 2*p + f, 0 = 3*p - 3*f - 24. Solve 2*n = y + p*n + 7, 3*y - 5*n = 21 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-2\/3)*c)**24\/(c**(1\/3)\/c)**31*(c**(2\/3)\/c)\/(c*(c*(((c**1\/c)\/c)\/c)\/c*c*c)\/c)*(c\/(c\/(c*c**(2\/3))))**(2\/25) assuming c is positive.\nAnswer: c**(1147\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/9)\/(2\/(-6)) - 1. Let i(y) = -y**2 - 11*y - 8. Let r be i(-10). Suppose 0 = r*j + v - 4 + 16, -3*j - 4*v = 18. Sort -4, j, f in decreasing order.\nAnswer: f, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**2 - 46*d - 8. Is a(-19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 336088 and 344?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 36*b + 19*b + 21*b - 49 to j*b + h and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 552266 is divided by 525?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*r - 755 = 5*h, 4*r - 568 = -5*h. List the prime factors of r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*g**5 + g**4 - 64*g**3 - 94*g**2 + 32*g?\nAnswer: -1140*g**2 + 24*g - 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4*(5 + sqrt(12) + 1)**2 - (-3 + -2 + (sqrt(75) - (0 + sqrt(75))**2) + sqrt(75))).\nAnswer: 672 + 636*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4502*v. Let c(q) = 3*q**2. What is b(c(k))?\nAnswer: -13506*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -a9?\nAnswer: -ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/2? (a) 0 (b) -1\/8 (c) -0.42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34\/(-85) - (-401004)\/10. What is y rounded to the nearest one thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -770, -3006, -6716, -11888, -18510, -26570, -36056, -46956?\nAnswer: -59258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/32929? (a) -2 (b) -1 (c) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + w**2 + 0*w**2)*(0*w - 2*w + w) - 26*w**3 + 474*w - 474*w + (-1 + 5 + 0)*(2*w**3 - 4*w**3 + w**3) + 1 + w**3 - 1.\nAnswer: -27*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 647, 1234, 1671, 1958, 2095?\n\"Answer: -75*c**2 + 812*c - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6404411 to the power of 1\/3, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7ad + -c616?\nAnswer: -bd58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (38\/(-14) - -3)*7. Suppose -3*k = -r*k + 3854. Let x = k - -6554. Round x to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27775, 34210, 40641, 47068, 53491?\nAnswer: 59910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 116 and 261?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (1*-4)\/1. Let u be c\/(-10) - (-23)\/5. Suppose u*r = -0 + 10. Put -4, 1, r in decreasing order.\nAnswer: r, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*x + 9470, x + 2*x + 23693 = 5*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24198 - -36430. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zwwpzpwzzwz. Give prob of sequence wppz.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {h: 5, x: 13}.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/10)\/((-2)\/(-12)). Let r be 10\/(-15) - 14\/w. Let p be (r*(2 - 3))\/2. Put p, 11, -2\/5 in increasing order.\nAnswer: p, -2\/5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 - 4 - (5 + -2). Solve -3*l = 5*i - 17, 3*i + 3*l + v = 9 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/7)\/(162\/72)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**2 + 10*h + 3. Let x be c(-3). Suppose x = 4*y + 12*y - 1920. Is y a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 617.6, 1, -15.23 in decreasing order.\nAnswer: 617.6, 1, -15.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 10*y + 2. Let p be (-12)\/(-36) + -1 + 38\/3. List the prime factors of k(p).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1719744 is divided by 33.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -7. Let b = j - -3. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31096847 to the nearest 1000000.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10 + -19)*(-4)\/18. Suppose 0 = 3*p - 5*p + 8. Suppose -18 = l - 5*o, m*l - p*o = -0*l - 12. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 10:54 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4117951\/83 - 49614. Find the common denominator of ((-5)\/(-3))\/(2\/(-7)) and i.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r - 1152 + 2205 = 0. What is r rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**2 + 328*f - 659*f + 327*f - 1 - 4*f**3 in the form v*f**2 + c*f + b*f**3 + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.7, 5, -208 in descending order.\nAnswer: 5, 4.7, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 9*t - 24. Let d(h) = -h**3 + 10*h**2 - 18*h - 10. Let l be d(7). Let i = l - 5. What is the smallest common multiple of m(i) and 16?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4693666029?\nAnswer: 3, 13, 647, 186013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*u**3*y**2 - u**3*y + 17*u**2*y - 137*u*y**2 wrt y?\nAnswer: 4*u**3 - 274*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + (-4 - ((4 - 10) + -36) - 9)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 11:51 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 + 5 = 3*v + 3*f, 3*v - 2*f = -39. Which is the nearest to -3\/5? (a) 2 (b) v (c) 2\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-187488)*18)\/(70\/(-98)*(-3)\/30).\nAnswer: 4\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70052.\nAnswer: 2, 83, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 2\/5*y**5 + 1 + 0*y**2 + 1\/2*y**4 + 0*y**3 + 0*y. What is t in d(t) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-6)*2)\/((-60)\/45)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 2:05 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 2*y - 18. Let g = 5 + y. Suppose -2*r = 2*n - 14, -4*r + 3*n = 5 + 2. Sort r, g, 4 in descending order.\nAnswer: 4, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*c - 12. Suppose q - 4*z = 32, 4*q + c*z - 115 = 6*z. Is (q\/(-8))\/((-4)\/16) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5498*d**2 + d**3 + 5498*d**2.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.05 - 0.06. Let y = -2.01 - n. What is the third smallest value in 0.4, y, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11094.9 rounded to the nearest one hundred?\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f - 2. Let o(i) = -15*i - 33. Let b(m) = -2*o(m) + 33*x(m). Let h(k) be the first derivative of -18*k**3 - 2*k - 6733. What is b(h(s))?\nAnswer: 162*s**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 h when two letters picked without replacement from yyhyyyyhvyvyyyyj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**27*v**(-2\/3)*v*(v*v**(1\/46))\/v*v**(4\/13)*v)**(-34\/7) assuming v is positive.\nAnswer: v**(-874157\/6279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/3*(-29)\/((-12035)\/(-249)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50652?\nAnswer: 2, 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -9 (b) -3 (c) 41 (d) -594\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kww when three letters picked without replacement from {w: 2, k: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-14)\/(-3) + 2\/(-3) and -3 + 2 + -2 + 13.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/180 and -187\/1841640?\nAnswer: 5524920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1944 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -7?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9671 or -9673?\nAnswer: -9673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 252075, 252074, 252071, 252066, 252059?\nAnswer: 252050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10981, 44248, 99885, 178048, 278893, 402576, 549253?\nAnswer: 719080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7271*d + 26950 = -9721*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 5*q**3 + 120*q**2 - 540*q + 560 = 0.\nAnswer: -28, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2. Let j(m) = 559*m + 7. Determine z(j(d)).\nAnswer: 312481*d**2 + 7826*d + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 389341 minus -0.8?\nAnswer: 389341.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) + 3 - sqrt(448))*-6 - sqrt(448))**2.\nAnswer: 288*sqrt(7) + 772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11342 (base 10) to base 8.\nAnswer: 26116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/15)\/((-24)\/(-40)))\/(16\/18)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1375*k = 1378*k - 51. Suppose 6 = -0*m + 3*m. Suppose -m*s + 1 = -7. What is the smallest common multiple of s and k?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 0*v - 1\/6*v**3 - 14*v**2 - 18 - 3\/32*v**4 - 1\/40*v**5 - 1\/480*v**6. Let x(g) be the second derivative of q(g). Factor x(u).\nAnswer: -(u + 1)**2*(u + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31583 + -22286. Suppose s + p + i = 2*s, -5*s + 2*p + 46494 = 0. Round s to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*4*(3*(1*sqrt(1008)*-1 - ((sqrt(1008)*-3 - sqrt(1008)) + -1)) + -1))**2.\nAnswer: 248832*sqrt(7) + 47031552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jaqafis. What is prob of sequence ifsq?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avvvvkssavfvvzaafava. Give prob of sequence fzk.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m + 3. Let r be f(-2). What is the remainder when (4\/r)\/((-1)\/3) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-6)*2 - 39\/((-4446)\/266).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1998, 3776, 5552, 7326, 9098?\nAnswer: 10868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 294 divided by -49\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -6*(-8)\/12 + 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-204)\/(-5))\/(-3) + 246\/410. Sort -3, 12, f in ascending order.\nAnswer: f, -3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - ((sqrt(162) - 2*sqrt(162)) + 2))**2 + (sqrt(4)\/sqrt(2))**2*1 + -2.\nAnswer: -72*sqrt(2) + 652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 11, g: 2}. Give prob of picking 2 n.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8124 and 6.\nAnswer: 8124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*((x**5\/x)\/x)\/x*x*x*x*x**(4\/7)\/x)\/(x*x*x**(-1\/4)\/x)**(-7\/3)*x**7\/x*x**(1\/2)*x\/x**(-3)*(((x\/(x**(-2\/3)\/x))\/x)\/x)\/x assuming x is positive.\nAnswer: x**(1553\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 3*w**2 + 2*w - 2. Suppose -2*r + 4*r = 6. Let y be k(r). Suppose 5*a - 55 = 5*c, 2*a - 4*a = y*c - 22. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/1 + 1\/(-2)*-54. What is the highest common factor of 8 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 11*s**8\/112 + 6*s**4 - 53*s**2. What is the second derivative of l(j) wrt j?\nAnswer: 660*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5038 and 37050826?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 283, -5, 0, -4, -7.\nAnswer: -7, -5, -4, 0, 283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8120826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -c**4\/12 - 5*c**2\/2 + 1. Let x(z) be the second derivative of a(z). Let v(n) = -3*n. What is x(v(h))?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 23274096.4 + 0.5?\nAnswer: 23274096.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 5:56 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*10\/(-180)*9. Let z = -3.99 + -0.01. Let r = z - -4.3. Sort -3\/7, i, r in descending order.\nAnswer: r, -3\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5474\/(-1127)*1*(-2)\/4*21.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -487.31 - -500. Let y = b - 12.1. Round y to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12562, 50727, 114458, 203755, 318618, 459047, 625042?\nAnswer: 816603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-28)\/(-56) - ((-189)\/30 - 0) and 10\/1473.\nAnswer: 7365","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = s - 15. Let c(x) = 29*x**2 - 5. Let k be c(s). Let t = k + -12965\/18. What is the common denominator of t and 59\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*b + 18, 6 = 3*b - 0. Let d be (-2 - (-9)\/a)*-8. Suppose -4*x + 5*k = x - 90, x = -d*k - 7. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*x**3 + 13*x**3 + 11*x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5377, -92 in increasing order.\nAnswer: -92, 1, 5377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9163 divided by -1309.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -21c?\nAnswer: -21b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d - 32*d + 0*d to t + i*d and give i.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 3*r**2 + 108*r + 320. Calculate d(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210301313 (base 4) in base 11?\nAnswer: -262155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 644?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*c + 654*c**2 - 5*c - 195 + 138 wrt c?\nAnswer: 1308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000011011011110 (base 2) in base 13?\nAnswer: -5a4b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 1:44 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-12) - 6\/(-40). Let x = -1.97 + 2. Let k = x + -0.13. What is the nearest to g in 3, k, -1\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 212 - 398 + 2302*z + 185 + (-5 + 2 + 1)*(-2*z - 3*z + 3*z) - 3*z + 0*z + 0*z.\nAnswer: 2303*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -410?\nAnswer: 3\/410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 - -146. Suppose 4*i = -5*r + 159, 3*i = 3*r + i - b. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, y: 2, d: 6, w: 3}. What is prob of picking 1 w, 1 y, and 1 m?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 6*y**2 - 6*y - 16. Let b(o) be the second derivative of -3*o**5\/20 + 17*o**4\/12 + 17*o**3\/6 + 47*o**2\/2 + 3762*o. Calculate -6*b(c) - 17*d(c).\nAnswer: c**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8\/1165 + 47589\/25630. What is the common denominator of q and -1 - 1 - 105\/(-50)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 185776 and 9?\nAnswer: 1671984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 579\/7 - 83. Let x be (24\/196)\/((-1)\/(-21)*3). What is the closest to u in 1, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 268442 and 1817?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -2057\nAnswer: 5\/2057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-2760)*-23)\/(5\/4*(-10)\/(-25)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56495 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4585974 to the power of 1\/2, to the nearest integer?\nAnswer: 2141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1003111\/30 + -33434. Calculate the common denominator of 141\/140 and s.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6163*a = 2792*a + 3030*a + 24211 for a.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 340039 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*q. Let x(d) = q - d - 1 - 1. Give x(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 22. Suppose g + g + 3*y - 1651 = 0, 0 = 3*g - a*y - 2457. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 125*q**2 + 69*q. Let x(g) = g**2. Let h(p) = -4*x(p) - y(p). What is the second derivative of h(k) wrt k?\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36422 + -10162. List the prime factors of a.\nAnswer: 2, 5, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**3 - 25*v**2 - 948*v - 8481. Give q(-9).\nAnswer: -516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 310966?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 2*j + 7*j)*(0 - 1 + 3 - 6 + 3 + 4 + (4 - 4 + 1)*(2 - 1 - 3)).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3f (base 16) to base 12.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(85)*1)\/sqrt(5) - sqrt(51)\/(sqrt(3)*3)*5.\nAnswer: -2*sqrt(17)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*i - 2*i. Let b(s) = -i + s + 0*s**2 + 4*s**2 - 5*s**2. Let d(o) = 2*o**3 - 3*o**2 + 3*o - 3. What is -3*b(z) + d(z)?\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -557, -1121, -1685, -2249?\nAnswer: -2813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (0 + -1 - 12) + 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -256 + 255. Which is the second biggest value? (a) -5 (b) -4 (c) o (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 3:44 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 - 0.2. Suppose -6*q + 2*q + 5*b + 32 = 0, 0 = -4*q + 2*b + 20. Let j be q*((-22)\/9 + 2). Put -3, o, j in descending order.\nAnswer: o, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(3\/5)\/t**(-3\/5))\/(t**(-15\/7)*t*t**(15\/4)))**44 assuming t is positive.\nAnswer: t**(-2167\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 161601161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -4, 3, 172, 0 in descending order.\nAnswer: 172, 3, 0, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*v - 0*v + o, 5*v + 3*o = 16. Suppose v*p - 1165 = -5*f, -4*f + 2*f - 5*p + 466 = 0. What are the prime factors of f?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 812 = 124*b - 1172 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.05, 4, -2, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 60643*n*v**3 - 32*v**3 + 3721*v with respect to n.\nAnswer: 60643*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(7)*1*2)**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1.1*-20\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 5 = -31. Let u(p) = -p**3 - 4*p + 2. Let h(g) = -g**3 - 4*g + 3. Give o*h(t) + 3*u(t).\nAnswer: -t**3 - 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -641*t**4*w + 14845*t**3*w**3 + t*w**2 + 28073*w**3 + 41*w**2 wrt t?\nAnswer: -7692*t**2*w + 89070*t*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 - 3*o**2 - 18*o.\nAnswer: o*(o - 6)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 686 and 2002.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6.091515 microseconds?\nAnswer: 6091.515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 + 4)*(-2*c - 6 + 6)*(1 - 3 + 4) in the form g*c + k and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -317, -1.\nAnswer: -317, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n - 23*n - 26*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 207*a - 5 + 451*a + 4 + 1 to p + v*a and give v.\nAnswer: 658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -d**4\/2 - 20*d**3 - 125*d**2\/2 + 18. What is the second derivative of t(f) wrt f?\nAnswer: -12*f - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 1) + -1 + -10 + 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 16. Let q be u(11). What is the second smallest value in 3, q, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 226920?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - 0.1. Let r = 0.04 - 0.24. Put r, y, -3\/4 in ascending order.\nAnswer: -3\/4, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**2 + 7*i**3 - 224 + 28*i**3 + 2*i**3 - 44*i**3 + 9*i**3 to d + l*i**3 + n*i + k*i**2 and give d.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/(-135)*1\/(-2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5*h**2 + 480*h - 46. What is t(96)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/7800 + 148163\/288600. Find the common denominator of n and (-4228)\/126*2*(-3)\/8.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -1765406*l**2. Let t(d) = -2*d. Calculate c(t(q)).\nAnswer: -7061624*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 647824562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15, 25, 37, 51, 67, 85, 105?\n\"Answer: k**2 + 7*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283 is divided by 148.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -277 + 272. Suppose 0 = 7*b - 4*b + 9. Is -1*(-3126)\/2 + (h - b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 1:21 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r. Let v(f) = 4*f**3 + 47*f**2 - 13*f - 6. What is the remainder when w(-6) is divided by v(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qtqteeqeeqetqtqq. Give prob of sequence et.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -41.05\nAnswer: 123.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u + 20. Let y(l) = 1. What is j(g) - 10*y(g)?\nAnswer: -2*g + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(c*(c\/((c\/(c**(1\/3)*c*c))\/c))\/c*c*c))\/(c**(-2\/13)\/c))\/(c*c**(-1\/3))**5)**(-12\/7))**(7\/13) assuming c is positive.\nAnswer: c**(1016\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 1. Let g(p) = 6*p - 6. Let v = 404 - 375. Suppose 11*m = v - 183. Give m*l(c) - 2*g(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 208963 to the power of 1\/2, to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 45420185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53604 and 354348?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-77)\/28)\/(-11))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4549459 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 4*b + 6. Let m = -21 + 25. Give i(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1129544320?\nAnswer: 2, 5, 61, 28933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -89*d**5 + 6464*d**3 + 2*d - 7727994.\nAnswer: -1780*d**3 + 38784*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.44 and -0.3.\nAnswer: -0.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cweewf. Give prob of sequence ec.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -6*g**3 + 8*g**2 - 19*g + 6. Determine q(2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 502272.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**2 - 2*z**2 + z**2 + (2 + 0 + 2)*(-z + z - 2*z**2) + (1 - 1 + 2*z)*(-2*z - 2*z + 2*z).\nAnswer: -13*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u - 73 = -113. Suppose w = k - u*k + 3, 0 = 4*k - 12. Let a(i) = 8*i**2 + 3*i + 1. Let r(m) = -23*m**2 - 8*m - 3. Give w*r(o) - 17*a(o).\nAnswer: 2*o**2 - 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)*t\/(t*t**(3\/4)))\/(t**(-6)*t*t*t*t\/((t**0\/t)\/t*t*t))*(t**(-2)*t\/(t**2\/t))**44 assuming t is positive.\nAnswer: t**(-359\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {u: 7, d: 6, s: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3084443, 3084439, 3084431, 3084419, 3084403?\n\"Answer: -2*h**2 + 2*h + 3084443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 145071 and 16119?\nAnswer: 145071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + m + 1. Let l(y) be the second derivative of -y**4\/4 - y**3\/6 - y**2\/2 - 5*y. Let o(n) = l(n) + v(n). Let f(w) = 16*w. Give o(f(a)).\nAnswer: -512*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021020 + -2?\nAnswer: 1021011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (42\/(-35))\/(2\/10). Let w be (-10)\/g + 12\/9. What is u in 10*u**2 - 6*u**w - u + u + u**3 - 5*u = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001678571 rounded to 7 decimal places?\nAnswer: -0.0001679","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/7)\/(f*f**(-7)))**4 assuming f is positive.\nAnswer: f**(176\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/70, 0.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 81*c - 241. Is g(40) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3076 + 3457.2. Let j = 358 - t. What is j rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -87260 to the nearest 1000.\nAnswer: -87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.1 - -3.164. Let l = w - 0.364. Let i = 253 + -4299\/17. What is the nearest to 1 in i, l, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 551 or 552?\nAnswer: 551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h**(3\/4)*h)))**46*h\/(h**(-2\/7)\/h)*h\/(h\/h**(-4\/7)*h) assuming h is positive.\nAnswer: h**(1137\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/7)*n*n*n\/(n**(-9)*n)*(n**(-1\/3)*n*n)**(3\/20))**(3\/38) assuming n is positive.\nAnswer: n**(981\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cuyzfqq. Give prob of picking 1 z and 1 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440992463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 49, 130, 243?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/9*(-2)\/(-2)*6.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7}. What is prob of picking 3 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 67*f = -62*f + 35, 2*f - 18 = 2*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -573816*m - 935506 with respect to m.\nAnswer: -573816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -6*n - 4. Let s(j) = -11*j - 7. Let b = 249 - 256. Let c(o) = b*w(o) + 4*s(o). Let y(l) = -6*l**2 + 2. Calculate y(c(f)).\nAnswer: -24*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -69*f**3 - 26*f - 17. Let l(i) = -69*i**3 - 22*i - 17. Let y(g) = -6*b(g) + 7*l(g). Find the second derivative of y(s) wrt s.\nAnswer: -414*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387233.\nAnswer: 7, 11, 47, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 - 52 - (-4 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*j - 149303 = -875*j - 928*j for j.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**8\/560 + q**7\/140 - q**6\/30 - q**5\/5 - 7*q**3\/3 - 3*q. Let j(a) be the second derivative of i(a). Solve j(l) = 0 for l.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 10*y**3 - 7*y**2 - 7. Let v(i) = -i**3 + i**2 + 1. Let f = -34 - -41. Suppose 15 = -4*u + f. Give u*t(n) - 14*v(n).\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 13) to base 3.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 1.72, -2\/13, -5\/4 in ascending order.\nAnswer: -5\/4, -2\/13, 0, 1.72, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 158481 to the power of 1\/2, to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1749*m + 12 = 1753*m - 5*d, 0 = 2*m - 3*d - 4. Let c(v) = -55*v + 434. Calculate c(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/216)\/((-9)\/1374). Let d = -1\/4 + n. Find the common denominator of -39\/5 and d.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 559396 is divided by 5996?\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1230502 and 0.2?\nAnswer: 1230502.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 21. Suppose 48 = h*t + 3*w - 222, -2*w - 295 = -5*t. Round t to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -p + 3*p - 26, -2*m + 11 = -5*p. Suppose -z + 7 = -o, -o = -3*z + 22 - 7. Suppose 5*i + 3 = 18. Solve z + m = -i*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 16 + 7 = 2*x, 4*x + 3*t = 33. What is the smallest common multiple of 15 and x?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -835624*k**2 - 6*k + 8. Let j be f(4). Round j to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 380566283 to the power of 1\/2, to the nearest integer?\nAnswer: 19508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-8))\/(11\/44*(-1)\/(-4))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -138*r**2*w**3 + 7*r**2*w**2 + 64*r**2*w + 6*r**2 + 4*w**3 + 2*w + 1 wrt w?\nAnswer: -828*r**2*w + 14*r**2 + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 - -39. Suppose -3*g + q*k = -11, -g - 3*g + 2*k = -16. Solve g*f = -3*s + 15, 5*s = -2*f - 2*f + 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -15*u**2 - 13*u - 13. Let v(n) = -5*n**2 - 4*n - 4. Let o(s) = -s + 71. Let r be o(10). Let g = -59 + r. Give g*c(m) - 7*v(m).\nAnswer: 5*m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 5*g - 2. Let v be t(-3). Suppose 0 = -v*c + 2 + 6. Suppose -c*b - 3*l + 1 = 0, -4*l + 1 = -5*b + 15. Solve -2*h = 10 - b for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 6:47 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -11*g - 12 + 0*g**2 + 10*g**2 - 4*g - 11*g = 0.\nAnswer: -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10372\/171 + -22558357\/372096. What is the common denominator of 127\/1632 and a?\nAnswer: 6528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0481152595 rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*b**2 + 260*b + 60 = 0.\nAnswer: -2, -6\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 103, 328, 769, 1498?\nAnswer: 2587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -50055 (base 9) to base 14\nAnswer: -bd8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 40 = -3*p. Let g = p + 20. Solve 6 = g*o - 3*m, -6*o - 5*m - 10 = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*v + 22 = -17*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.304017l to millilitres.\nAnswer: 6304.017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 1. Let n(y) = y**3 + 6*y**2 + 3*y + 1. Let b(g) = n(g) - 2*s(g). Let f be b(-2). Solve -2*a - d = -4 - 5, a = -f*d for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 4 = 3*i - 5, -3*c - 3 = 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*i - 4*i - 231. Put 0.2, i, -0.1, 0.3 in ascending order.\nAnswer: i, -0.1, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o*o**(-16))\/o))\/o*o**(-11)*o)\/(o\/(o\/(o\/(o\/(o\/o**(1\/6)))))*o**(-6)) assuming o is positive.\nAnswer: o**(67\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/3 + 16*i**2\/3.\nAnswer: 2*i**2*(i + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 2*o**2 - 158*o - 608. Determine n(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -215793 rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -365150181*d + 529937453.\nAnswer: -365150181","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1335*6\/1728 + -6 and -83\/828.\nAnswer: 6624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - u + 1. Let c(i) = 120*i**3 + 100*i - 100. What is c(f) + 100*m(f)?\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 444 and 2497167.\nAnswer: 9988668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 135*s + 140*s - 5, -4*s - 32 = 16*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13453?\nAnswer: 11, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*t + 51, 0*x + 12 = 2*t + 2*x. Suppose -t = 5*z + 1. Let p(f) = f + 4. Let o be p(z). Which is the second biggest value? (a) 5 (b) o (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 2*i - 1. Let w be j(5). Let q = w + -20. Let y(m) = -2*m - 6. What is the units digit of y(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*((-8)\/(-55))\/((-4659)\/(-136664))?\nAnswer: -64\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 32, 15, 22, 71, 180?\nAnswer: 367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 5:44 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1690\/3887*((-36)\/18 - (24\/(-15))\/1)?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1935 + 2265. Let u = 38803 + k. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49207?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10, 248, 644, 1198, 1910, 2780, 3808?\n\"Answer: 79*d**2 + d - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5*g. Let y(x) = -x**2 + 1. Let z(t) = 16*t**2 - 12. Let a(q) = -12*y(q) - z(q). Determine n(a(u)).\nAnswer: 20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -130 - (-168 - 38) - -1?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 154633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**4*t + 150*r**3 + 6*r**2*t**2 - 74*r*t**2 - 11 wrt r.\nAnswer: -12*r**2*t + 900*r + 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6*(13\/(-1) - (-63 + 113815\/2275))\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441 is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 9:50 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 15*f - 1. Let a be l(-10). Let c be (a\/(-68))\/(-1 - 111\/24). Which is greater: c or 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -62619185 and 101.029?\nAnswer: 62619286.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*n. Suppose 2*s + n*s = 46. Suppose 4*f + 0*f - 24 = 0. What is the remainder when s is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.01 equal to -59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3\/11, -2 in increasing order.\nAnswer: -3, -2, 3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*354\/9 - -4. Let v = y + -119. Solve 0 = w + 4*d - v, -4*d + 0*d - 17 = 5*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1063812609?\nAnswer: 3, 41, 320329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8708471650160 less than 4?\nAnswer: 8708471650164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41525 + -22151. Does 20 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -7*m**2 - 13*m + 7. Let j(o) = -6*o**2 - 12*o + 6. Let c(p) = 6*j(p) - 5*z(p). Let b be c(-7). Put -1, 0, b in descending order.\nAnswer: b, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3779430 and 30235440?\nAnswer: 30235440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -26. Suppose 0*i = 5*i + 5*o - 15, -2*i - 4*o = -r. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2025 + -747. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*(-6)\/(-9)*-7. Let y = -1 - b. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1679 and -0.1481.\nAnswer: 248.6599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 - -59. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 8. Let k = 2.7 - u. Let x = 0.2946 + k. Round x to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 3167*o**4\/12 + 572*o**3 + 12*o**2 + 2*o + 6. Differentiate s(f) with respect to f.\nAnswer: 6334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -13*i**2 + 354*i - 525. Calculate u(34).\nAnswer: -3517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-114)\/(-14) + (-240)\/(-112)*1)\/((-2)\/(-14))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 13 = 4*j + s, 3*s - 26 = 4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-18)*(-18)\/(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5947 + -30251036\nAnswer: -30245089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 370 divide 8280600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**4 + o**2 + 805*o - 1644*o - 1 + 773*o - 3*o**3 - o**4 + 3*o**3 + (0*o + 0*o + 2*o**4)*(-2 + 2 - 3).\nAnswer: -5*o**4 + o**2 - 66*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 765300?\nAnswer: 2, 3, 5, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50 - w**2 - 50)*(2*w + 0 + 0).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1410, -1409, -1408, -1407, -1406, -1405?\n\"Answer: a - 1411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 17*a**5\/10 + 10*a**4\/3 - a**2\/2 - 13*a. What is the third derivative of v(m) wrt m?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b (base 16) in base 12?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5200) + 1)**2 - ((sqrt(13) + 0)*-3 + sqrt(13))*-5.\nAnswer: 30*sqrt(13) + 5201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 128 = -139. What are the prime factors of j?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2693?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.54399395 rounded to 5 dps?\nAnswer: -0.54399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5831 - -11196. Suppose -5*p + 5*a = -l, -p + 1065 = -2*a + 3*a. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 7*b + 38. Calculate r(-8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.25? (a) -1\/3 (b) -2 (c) 2\/5 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 1, 448 in increasing order.\nAnswer: -3, 1, 2, 448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -5*g**3 - 3*g**2 - 2*g - 4. What is the remainder when k(-2) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h**(-8)\/h*h)))\/h**(3\/2) assuming h is positive.\nAnswer: h**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11.2? (a) -0.4 (b) 272 (c) -0.3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 226 - (8 - 5). Let t = -60.7 - -57.7. What is the smallest value in s, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32722453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-75)\/(-10) - 4\/(-8). Let t = -8 + v. Suppose -3*o + t*j = -4*j - 113, -2*o + 5*j + 80 = 0. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -519, -293, -67?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -38, 1, -2, -219 in descending order.\nAnswer: 1, -2, -11, -38, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -2 (b) 2\/491 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.127 or -699?\nAnswer: -699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*z**2 + 4*z**3 - 15*z**2 + 0*z**3 to q*z**2 + x*z + l*z**3 + r and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 3*q - 3. Suppose 105 - 20 = 5*o + 5*r, 4*r + 30 = 3*o. Solve -5*g + q = 5*d - d, 2*g - o = 4*d for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.377 and 0.1.\nAnswer: 0.477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b**2 - 18*b - 11. Let u be j(-9). Let q be u\/(-10) - 9\/45. Let p(d) = d**2 - 8*d - 5. Let l be p(q). Solve 0 = g - l*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 821, 1643, 2465, 3287?\nAnswer: 4109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1050682 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2289787.\nAnswer: 461, 4967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*q + 10511 = 0, 13*t + 4*q = 11*t + 7034. Suppose -a - 5*y = -872, -4*a - 8*y + t = -7*y. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 6) in base 4?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 7:58 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 + 9796761*j. Let b(c) = 2*c. What is b(g(q))?\nAnswer: 4*q**2 + 19593522*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from {a: 10, n: 3, x: 3, j: 4}?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 259407 and 1779236.\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/2)*h*h**5)\/((h**(-6)*h)\/h**(-6\/7)) assuming h is positive.\nAnswer: h**(121\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1074, -2228, -3600, -5298, -7430, -10104, -13428, -17510?\n\"Answer: -18*m**3 - m**2 - 1025*m - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 17*w**5 + 15*w**4 + w**3 - 3*w**2 - 3*w. Let c(k) = 50*k**5 + 46*k**4 + 4*k**3 - 8*k**2 - 8*k. Let h(z) = 3*c(z) - 8*x(z). Factor h(b).\nAnswer: 2*b**3*(b + 1)*(7*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 896630.\nAnswer: 2, 5, 7, 12809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t - 5. Let j = 9 + -5. Suppose 13 = j*z - 7. What is y(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5125)\/(-1250) + 1\/(-10). Put 3, -71, d in ascending order.\nAnswer: -71, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109462915 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 9*b**2 - 8*b + 4. Let n be m(-8). Solve 3 = n*r + 11 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -503*h = -494*h - 37188. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.01, 15118, 0.6 in decreasing order.\nAnswer: 15118, 0.6, 0.3, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10484*m**4 - 977*m**3 - 96796281*m**2?\nAnswer: -251616*m - 5862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/(-5) - 4 - -16. Let y be z\/9 - (11\/(-9) + 1). Solve -2*d = 2*b - 0*b + 6, -10 = y*b - 2*d for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g. Let u(j) = j**3 + 2*j**2 - 3*j - 3. Let i be (-4)\/6*(-30)\/(-4). Let v = -8 - i. Let w be u(v). Determine a(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 24.53738 hours?\nAnswer: 88334.568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132\/(-10) + (7 - (-702)\/(-65))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 90273*f*i**3*w + 907*f*i**2*w**3 - f*i**2*w + 3*f*w**3 + 5*i**3*w**3 - 2*i**2*w**2 + 33*w wrt i.\nAnswer: 541638*f*w + 30*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4487*r - 9*r**3 + 2263*r + 13*r**3 + 742*r.\nAnswer: 4*r**3 + 7492*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1149236, -1149234, -1149232, -1149230?\n\"Answer: 2*j - 1149238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(4\/9)\/p*p\/p**(-3\/4))\/(p*p\/(p\/(p*p**(3\/2))*p))**19 assuming p is positive.\nAnswer: p**(-1667\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(((-390)\/(-25))\/3 + 1 + -6). Solve -3*n + 0*b + b + 8 = 0, -5*b + m = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81607?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1508 and 1276.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4608*v**2. Let c(n) = 10*n. What is c(z(j))?\nAnswer: -46080*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 93\/2, 0.4, 16\/9 in decreasing order.\nAnswer: 93\/2, 16\/9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2118 is divided by 571.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -854635*g + 854605*g = -150 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 618 (b) -5\/6 (c) 1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 36 = 3*c, 4*u + 97*c - 44 = 92*c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2487 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -1430*m**3\/3 - 2033*m - 8580. Find the first derivative of c(g) wrt g.\nAnswer: -2860*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35*f**2*r**3*z - f**2*r**2*z + 2*f**2*z + 3*f*r**3*z + 5*f*r**3 - f*r**2*z - 2*f*r*z wrt f.\nAnswer: -70*r**3*z - 2*r**2*z + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -6*a - 6. Let q(w) = 5*w + 5. Let c(s) = 4*f(s) + 5*q(s). What is c(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2428)\/60 + 154\/55 + 21\/(-9)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1200 and 648.\nAnswer: 32400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 2*l - 175, 3*l - 369 + 1047 = -4*g. Let t = 885 + g. List the prime factors of t.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -3. Suppose 0 = 16*s - 21*s - 2*f - 17, -4*f = 7*s + 25. Which is the smallest value? (a) x (b) s (c) -2\/43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + x - 5*x - 6 = 0, -4*v + x = 7. Suppose -20 = 5*w + 10. Let t be (-4)\/((-4)\/w*-3). What is the third biggest value in v, 1\/5, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 4, -4, -2\/17.\nAnswer: -4, -2\/9, -2\/17, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.2 from -5.224363.\nAnswer: -6.424363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -5\/3, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 111 + -140?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.056 and -1.\nAnswer: 0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.7 less than -365115?\nAnswer: -365111.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2984 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)\/sqrt(108) + -3)*2*1)**2 - (6*(sqrt(1900) + sqrt(1900) + 1 + sqrt(1900)) + (-5 + sqrt(76) - sqrt(76)\/sqrt(4)*1))**2.\nAnswer: -5601740\/9 - 370*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-seven halves of a year?\nAnswer: 222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11132021 (base 4) to base 8.\nAnswer: -53611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -6. Suppose -4*h - 5 = 3*j, -3*h + 5*j + 19 - 1 = 0. Sort x, 3, h in descending order.\nAnswer: 3, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-3))\/(974\/4383). Solve -4*i + 4 = r, 2*i - 10 = -d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 69*g**2 - 50*g**2 - 11 + 24*g**2.\nAnswer: 43*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + 0. Let z = 8.3 + -5.3. Let r = 2 - z. Which is the nearest to h? (a) -0.2 (b) -0.4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130108 (base 9) to base 2\nAnswer: 10011001111100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 24 + 24. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + (sqrt(272) - (-1*sqrt(272) + sqrt(272) + 4)**2))*6 + 0 + -2*5*(6*(-1 + sqrt(272)))**2.\nAnswer: -98376 + 2928*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7492 - -11287. List the prime factors of n.\nAnswer: 89, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 675*y + 705*y - 1421*y.\nAnswer: -41*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 3*o - 48. Let u be 11\/((-594)\/(-3468)) - 4\/18. Calculate the greatest common factor of u and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6865 + -2324. Find the first derivative of 265*y - 4560 - u + 9360 wrt y.\nAnswer: 265","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 103\/(-2)*-33*(-20)\/(-30). Suppose -y + s + 1967 = 0, -y = 2*s - w - 840. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 25 = -0*b. Let y be (-12)\/4*35\/15. Let f = y + b. Calculate the smallest common multiple of f and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31.3 - -30. Let j = w - -0.9. Let m = 91\/6 + -461\/30. Put j, m, -4\/3 in decreasing order.\nAnswer: m, j, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26554384.\nAnswer: 2, 1659649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 175*x - 176*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/2140992 and -145\/547992.\nAnswer: 92062656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 2633267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7675258159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/3*(-9 + 5 + 118). Suppose -h*q - 126 = -47*q. What is the remainder when 82 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 8 - 3 = p, m - 22 = -3*p. Let u = p + 1. Let v(q) = -q**3 + 5*q**2 + 3. Let k be v(5). Solve 4*w - u = -5*b + 3*b, 5*b + k*w = 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1200202 + 2?\nAnswer: 1200211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -73\/70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 47284379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7791.\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 175*o**3 - 45*o**2 + 45*o. Let l(j) = 8*j**3 - 2*j**2 + 2*j. Give 2*b(k) - 45*l(k).\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/3)\/(x**(-16)\/x)*(x*x**(1\/3))**3 assuming x is positive.\nAnswer: x**(62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 719*d - 231*d - 227*d - 238*d in the form l + w*d and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f7 - -31370?\nAnswer: 31467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11756 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 790812978?\nAnswer: 2, 3, 139, 599, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 + 131. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h - 5*h + 3*h + (-2*h + h + 3*h)*(-3 - 1 + 2) - h + h - h)*(2*h - h - 3*h + (-2*h + 2*h + h)*(-4 + 1 + 1)).\nAnswer: 52*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*k - 688 + 21 + 11 = 63*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249 = 18*o + 195 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 73) + (23 - (19 - -36)) + 26\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000018201894 to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/4 of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 7:48 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -397, -400, -403, -406?\nAnswer: -409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10, 640, 1714, 3226, 5170?\n\"Answer: -d**3 + 228*d**2 - 47*d - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 1:32 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*d**3*v + 17*d**3 - 5*d**2*v - 289*d*v - d wrt d.\nAnswer: 36*d*v + 102*d - 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 q when three letters picked without replacement from {m: 1, a: 1, e: 2, q: 4, j: 1, i: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 - -83. Let p(w) = w - 4. Let z be p(-8). Let m = y + z. Solve -4*x - 4 = m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/9, -2\/15, 0.4, -4.7, -5288?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2280793337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 3180000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1310 and 14.\nAnswer: 9170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 102 = -4*d, -3*d = -8*d - 3*x + 111. Let s = 27 - d. Is s at least 16\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - -8909585?\nAnswer: 8909584.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3879948386?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -617 - -613. Let i be (3\/2)\/((-30)\/12). Let h = -185 + 1297\/7. Sort z, i, h.\nAnswer: z, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 128408940 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 + 141\/4. Which is the nearest to n? (a) 0.2 (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**3 + 1560*n**2 + 9252*n + 13824 = 0. Calculate n.\nAnswer: -384, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -321f (base 16) to base 13\nAnswer: -5ac0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 68\/5 (c) 7\/268 (d) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2683 - -7325. Is 14 a factor of -1 + 3\/9 - j\/(-33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mntn when four letters picked without replacement from {t: 2, n: 12, m: 5}.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v**5 + 8252*v**4 - 1827936*v**3 + 76944532*v**2 + 823079840*v - 210550464 = 0. What is v?\nAnswer: -691, -9, 1\/4, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 4. Let s(z) = z**3 + 2*z**2 - 3*z + 3. Let a be s(2). Let x = 14 - a. Solve 0 = y + y - 3*p + x, 3*y = -u*p + 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 3. Suppose -n*x = 2*q + 3*q - 296, -4*x = -2*q + 108. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p - 24. Let w be l(-22). Does 5 divide (-33)\/(-66) - w\/(8\/58)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jby when three letters picked without replacement from {h: 3, y: 6, b: 2, j: 2}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 + -41. Let r(t) = -t**2 - 6*t + 5. Let n be r(o). What is the highest common divisor of 13 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + 0 + sqrt(2299) + sqrt(2299)).\nAnswer: 15 + 110*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1 - -0.8. Let u = -0.4 - o. Let g = 2 + 0. Which is smaller: g or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - 2. Let b = g + 17. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of s**4 + 7*s*t - 146*t wrt s?\nAnswer: 4*s**3 + 7*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s - 2*s + 4 + 1. What is the tens digit of i(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 6 = 0, -2*d - 3*a = -4*a + 2. Solve 11*p + 63 - 8 = d for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 221*a - 1036*a - 1030*a - 149*a to the form f + o*a and give o.\nAnswer: -1994","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 27*d + 46. Give u(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 811897304?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 1892905740166.\nAnswer: 1892905740165.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-2\/23)\/z))**(-44))**24 assuming z is positive.\nAnswer: z**(-50688\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*2\/60)\/((-9)\/(-135)*20)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4502909 + 82.005?\nAnswer: -4502826.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 110.1.\nAnswer: 107.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 + 110\/(-15))*(-9 - 0). Which is the second smallest value? (a) -0.5 (b) -0.03 (c) m (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*v - 49, v = -2*a - 0 - 1. Let i(b) = b - 10. Let j be i(12). What is the units digit of (v\/j)\/(3\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -5. Let t = i + 2. Which is the third biggest value? (a) -3 (b) 4\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 113\/5 - 23. Which is the second biggest value? (a) 3\/2 (b) o (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 826 + -641. Solve d - 185 = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ftjb when four letters picked without replacement from {s: 1, b: 1, f: 1, j: 1, t: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -12*v + 29. Let w(h) = -70*h + 9. Let q(r) = -1. Let u(f) = -4*q(f) - w(f). Is u(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -0.03272?\nAnswer: 0.013088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12111 - -10111220?\nAnswer: 10201101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 1 = n, b + 0*b + 11 = -4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69064 + -68979. Let w be ((-1)\/(-2))\/(1\/20). Calculate the greatest common divisor of q and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of x**8\/336 + 17*x**7\/210 - 19*x**6\/60 + x**5\/30 + 37*x**4\/24 - 19*x**3\/6 + 2*x**2 + 170. Solve r(z) = 0 for z.\nAnswer: -19, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 3:47 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qmmmqqqqqqmmm. What is prob of sequence qm?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 239 - -311. What is the greatest common factor of 88 and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*k = -51*k + 139*k + 237152200. Round k to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1903*o**2 + 4*o**3 - 1903*o**2.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -148.3 + 163. Let l = 3.7 - q. Is -1 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 1:09 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12515126 + -444?\nAnswer: -12515603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 2*i + 3*o - 6, -4*o = -3*i + 19 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -119c03 (base 14) to base 9.\nAnswer: -1118503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11069 + 11068.91136. Round u to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*z + 2*u + 16 = 47*z, 3*u = -4*z - 4. Suppose -338 = -z*j + 298. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-17) + (-9328)\/(-187). Let v = 55 - u. Let k(m) = -m + 12. Let n be k(7). Solve -15 = n*g + v*z, 0*z + 5 = g - 3*z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 9. Let o = -1 - -5. Let g be h(o). Let y = 55.6 + -56. Sort 5, y, 3\/7, g in decreasing order.\nAnswer: 5, 3\/7, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-46)\/(-8) + 6\/(-8). Let r be (16\/(-6))\/(6\/(-45)). Suppose -2*o - 25 = -7*o. Solve l + r = o*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -9\/353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 672\/(-126)*(0 - 9\/(-6))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -6 - 1 - 6 - 3 + 15*u. Let b be q(10). Let h = 141 - b. What is the lowest common multiple of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 2187609.\nAnswer: 21876090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-2\/11)*i*i**8)\/(((i*i*i\/((i*i\/(i**(2\/7)\/i*i))\/i))\/i*i)\/(i\/i**(-6))) assuming i is positive.\nAnswer: i**(1147\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l**2 + 0*l**2 - 5*l**2)*(-l - 12 - 4*l**2 + 28 - 13) + 2*l**4 - 4*l**4 + 0*l**4 to the form z*l + t*l**2 + x + m*l**4 + q*l**3 and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, -4, 1, -0.1, 53586\/55?\nAnswer: 53586\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 9*d**6\/40 - d**5\/10 - 5*d**2\/2 + 81. Let j(u) be the second derivative of x(u). Find the third derivative of j(s) wrt s.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/2, -0.3, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -43*y**3 - 2*y**2 + 1. Let a be r(-1). Suppose -a = 3*t - 5*t. Which is greater: t or 19?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20 + -1)\/((-3)\/188253). Let j = f - 4517771. What is j rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4\/7 (b) -18 (c) 5\/47 (d) -2 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -137141280*p**4*u + 3658055*p**2 - 15*p*u wrt p?\nAnswer: -3291390720*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -21, 7, 73, 1 in ascending order.\nAnswer: -21, -4, 0, 1, 7, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 54*a**2 - 33*a**2 - 15*a**2 - 89*a**2. Let l(k) = -7*k**2. Give q(l(h)).\nAnswer: -4067*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5378?\nAnswer: 2, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x - 4. Let o(h) = 7*h - 8. Let z(n) = -2*o(n) + 5*w(n). Let s = 32880 + -32870. Determine z(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.60523521 + 2766150.\nAnswer: 2766150.60523521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -165900 rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7394459*t*u**3 - 603*t*u**2 - t*u + 97*t - u + 3 wrt u?\nAnswer: -44366754*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 divided by 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(80) + (sqrt(45))**2*-6.\nAnswer: -270 - 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/18 + 20\/120.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 2418 - 4916 + 2638 for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (228941 - 616*r - 228941)*(-2*r**2 - 3 + 3).\nAnswer: 1232*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**7\/840 + g**6\/120 + g**5\/60 - g**4\/24 + 27*g**3\/2 - 33*g**2. Let l(y) be the first derivative of m(y). Calculate l(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -232 + 230 + -18 + (0 - -3)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (85\/(-80))\/(-17)*4*(-2)\/(-10).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) -2\/15 (c) -1\/2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96661, -193460, -290257, -387052, -483845, -580636, -677425?\nAnswer: -774212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 95854513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2265898825?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.6 - 4.95. Let v = 0.15 - i. What is the smallest value in -5\/2, v, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -87, -80, -69, -54, -35?\n\"Answer: 2*z**2 + z - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (21\/14 - 2\/4)*-12. Let f be ((-206)\/(-3))\/(v\/(-18)). Let w = f - -40. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eayeyyyyyxyx. Give prob of sequence yea.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h - 1. Let v(a) = 6*a - 5. Suppose -15*c + 76 = 1. Give c*g(k) - v(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ip when two letters picked without replacement from eiiiiiixppxhi.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 172175 to the power of 1\/2, to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 156.6719t in milligrams?\nAnswer: 156671900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a second in milliseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 68 = 3*n + 3*b, n - 26 = 3*b. Let w = n + -4. What are the prime factors of w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 55320 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1063 - -1073. What is the smallest value in 0.3, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -117.83 - 0.17. Let h = -251 - m. Let o = 132.5 + h. Which is the closest to -2\/3? (a) o (b) -1\/15 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 1. Let h(u) = -2*u + 2. Let t(q) = q - 2. Let x(d) = -6*h(d) - 7*t(d). What is the units digit of x(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 196.96056500651.\nAnswer: 197.36056500651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2105.99069 + -2106. Round n to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(2\/1) + 4. Suppose 0*z + 2 = 4*z + 3*j, 0 = z - 5*j - 12. Solve 2*o - z*y - 2 = 3*o, o - q*y = 5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -0.14?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31426131 to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2.13 - -1271594276\nAnswer: 1271594273.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18 - 917881.\nAnswer: -917863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3016\/26)\/(((93\/31)\/(3\/(-4)))\/2)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6533 - -6472. Is -14 greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 124?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 72 + 22 = 0. Let t be (1*-4)\/(2 + 0). Let i = j - t. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -79*o**2 + 97*o**2 + 198*o**2 + 31*o**2. Let t(h) = 9*h**2. Determine t(f(i)).\nAnswer: 549081*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 82208, 82143, 82080, 82019, 81960, 81903, 81848?\n\"Answer: w**2 - 68*w + 82275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -40, -75, -110, -145?\n\"Answer: -35*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 15 - 3 = 0. Suppose 9 = 7*m - h*m. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 59*d**2*m**3*v - 4*d**2*m**3 + 4*d**2*v + 136*v with respect to m.\nAnswer: 177*d**2*m**2*v - 12*d**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 455766.\nAnswer: 2, 3, 37, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -226 + 225. Let l = 245 + -242. Sort j, -5, 1\/7, l in ascending order.\nAnswer: -5, j, 1\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 78.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*s + 0*s = -60, -t + 2*s = -40. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3665, 14662, 32989, 58646?\n\"Answer: 3665*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 526 is divided by 253?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -6*h + 8*h + 148, 304 = 11*h + 5*j for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -v**10\/1680 - 7*v**6\/360 + 2*v**3 - 4. Let m(p) be the third derivative of d(p). What is the third derivative of m(x) wrt x?\nAnswer: -360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 29769.\nAnswer: 148845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 77*b**2 + 11*b - 856. What is s(77)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.134, 0.4, 2\/17 in descending order.\nAnswer: 0.4, 0.134, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 160 = -7*m. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.4 + -6. Let t = 10.8 + -11. What is the nearest to 0 in t, -2\/21, n?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(-7*m + 10*m - m - m**2)*(81*m + 72*m - 187*m).\nAnswer: -68*m**3 + 136*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 28 + 5*v**2 - 28. Let c(l) be the first derivative of -5\/2*l**2 + 0*l - 42. Give j(c(p)).\nAnswer: 125*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5300615 + -573?\nAnswer: -5301410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.093 + 0.09337. Round l to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(5) + 0 + sqrt(18) + 2 + -1)**2 + ((sqrt(384) + sqrt(6))*-4)\/((sqrt(90)\/sqrt(6))\/sqrt(5)).\nAnswer: -28*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*c + 0)*(3*c**3 - 3*c**4 - 3*c**3) + (319 - 319 + 4*c**4)*(1 - 1 + 3*c) + (2*c - 6*c + 3*c)*(2*c**4 - 2*c**2 + 2*c**2).\nAnswer: 16*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 204219 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 190?\nAnswer: 18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*o + 7 - 117, -2*l = -2*o - 90. Calculate the remainder when l is divided by 30.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.88 + 2.20320208?\nAnswer: 4.08320208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 3*d + 1, 2*f - d - 2*d = -4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 11*s - 410. Let d be y(28). Solve 476 - 80 = d*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 11:49 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 + 6*k + 2. Determine c(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (104\/(-10))\/(1044\/(-225) - -5)*6264\/1392.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from laammmaaalmmmlh. Give prob of picking 1 a, 1 l, and 2 m.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6305232?\nAnswer: 2, 3, 17, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d + 6. Let g be s(0). Let a(o) = -2*o**3 + 3*o**3 - 1 - g*o**2 - 1 - 2. Let x(z) = 7*z**2 + z. Let n be x(-1). What is a(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -5*r - 3*j + 13, 5*r = -j + 17 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 22*c - 90. Let j be k(8). Calculate the greatest common factor of 561 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 4.3.\nAnswer: -8.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 550 and 13090?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2119915 and 24346?\nAnswer: 199272010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21280 or -21680?\nAnswer: -21280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44137?\nAnswer: 19, 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 6*u - 4)*(2 + 1 - 4)*(-6*u**2 + 4*u**2 + u**2) - 2*u**3 - 5*u**3 + 5*u**3.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -c?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*d*t**4 + 186*d*t - 4*d + 40*t**4 + 8449*t**2 + 2014*t wrt t?\nAnswer: -144*d*t**2 + 480*t**2 + 16898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, d: 3, l: 3, f: 2}. Give prob of sequence ddf.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a week in minutes?\nAnswer: 2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11667 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -13*s**2 + 1. Let v = 17 - -11. Suppose 3*n = 5*n - 4*a + 38, -2*n + a - 50 = 0. Let m = n + v. What is h(m)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8041177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gwe when three letters picked without replacement from {a: 6, g: 1, w: 2, e: 1, t: 7}?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 7*h**2 - 43*h + 27. Calculate the least common multiple of k(5) and 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -9, 0.\nAnswer: -9, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14516014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by ((5\/3)\/1)\/((-64)\/(-2112)).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 + 3*j - 3*j)*(-6 + 3 + 4) + 10*j**2 - 4*j**2 + 9*j**2.\nAnswer: 17*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 297864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 1. What is the smallest common multiple of 11 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/37, 284, -6?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 19 - 6*b + 10)*((3 + 4 - 4)*(-1 - 2 + 4) + (-4 - 30 + 13)*(2 + 2 - 2)).\nAnswer: 234*b - 78","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 12:49 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*p + p - 18, 4*p + b = 12. Let k = -2 - -5. Solve 27 = -p*s - s - 5*x, 0 = k*x + 9 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 4) to base 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 5*q = 0, 4*z - 2*q = -6*q for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -353 + 5?\nAnswer: -34a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 73 = 18. Sort 1, -3, z in descending order.\nAnswer: 1, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of m**5\/20 - 5*m**4\/4 - 5*m**2\/2 + 113*m - 2. Give h(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 6. Let j be (-130)\/5 - 2\/1. What is the units digit of j\/20*(2 + p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2203.7 + -2512. Round r to the nearest 10.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/9)\/(q\/(q\/q**(1\/58)))*((q\/q**(1\/6))\/q)\/q*q\/(q*q\/q**(18\/11)*q) assuming q is positive.\nAnswer: q**(-4124\/2871)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 4*s + 4. Let v be q(4). Find the third derivative of u**2 + 14*u**4 - 18*u**4 + 10*u**v + 0*u**2 wrt u.\nAnswer: 144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + ((-28785)\/38)\/15 + 2\/4.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.5 (b) 1243 (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 6*d - 1040 = -5*t, 3*d - 1040 = -5*t. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 9) in base 4?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - -10. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.12005 - -0.12005. What is the biggest value in q, -1\/25, 1.3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541856\/272 - 2\/17.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 32*m + 5. Determine n(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-4))\/((-15)\/(-20)). Solve 5*q + y = -8, 2*y - a = q - 2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/((t*(t**(-18)\/t)\/t)\/t*t)*t**(-2\/3)*t assuming t is positive.\nAnswer: t**(61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1723, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -100222, -200439, -300648, -400849?\n\"Answer: 4*l**2 - 100229*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, q: 14}. What is prob of picking 3 s?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -0*x - 60. Let z be x\/(-20) - (-31)\/(-52). Let k = -188 - -191. What is the closest to -1\/3 in k, z, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-275)\/(-4) - 135\/180 is divided by ((-10)\/30)\/((-2)\/(-3))*-46.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/8*(-752)\/282\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 74433.92ng?\nAnswer: 0.00000007443392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 + 2*s. Let k(c) = -c**3 + 6*c**2 + c - 1. Let z be k(6). Let w(u) = -u**2 - u. Determine z*w(d) + 3*r(d).\nAnswer: d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 13*n - 2. Let g be x(1). Suppose -243 = -g*k + 8*k. Find the common denominator of (-1)\/(4 + k\/(-21)) and 56\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5314443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from etetttttttevtnttenj. Give prob of picking 1 e and 1 v.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 4.6. Let a = -4.9 - -7. Let y = -0.1 + a. What is the second smallest value in u, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8065679 is divided by 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 7:25 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -194.58452 to 2 dps.\nAnswer: -194.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/18 - (-2)\/(-6). Let c = 6 - m. What is the highest common factor of c and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1801408 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -10*n + 15. Let m be f(-12). Calculate the highest common factor of m and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*w - 1. Let g = w + 9. Suppose -l - 21 = -g*l. What is the lowest common multiple of 9 and l?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 13*p + 1 - 4*p**2 - 3*p**2 - 1302*p**3 + 1303*p**3. Let z be k(3). Solve 2*h - 5*a = 9 + 8, -z*h + 4*a + 16 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 5) to base 15\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 138*b**4*u - 3*b**4 - 3*b**3*u + 9*b**2 + 4*b*u + 2*b + 45 wrt b?\nAnswer: 3312*b*u - 72*b - 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 10*y**2 - 46*y + 244. Calculate s(9).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 46127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 834726415?\nAnswer: 5, 53, 3149911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 13 = -w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1080 and 6210?\nAnswer: 24840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 16 + 63 + (3 - 3 - 1)*(-12 + 0 + 6))*(g + 2*g - 4*g).\nAnswer: -75*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3418, 1, -37, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3277544189.\nAnswer: 17, 271, 711427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -573, -702, -969, -1416, -2085?\n\"Answer: -7*f**3 - 27*f**2 + f - 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29.36 - 5.36. Which is the second smallest value? (a) -1 (b) 5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/8 - (-14)\/8. Let h = 10 - d. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*(0 + sqrt(847))*-6)**2 + ((-1*sqrt(700) - sqrt(700))*-5*5 + 5)**2.\nAnswer: 5000*sqrt(7) + 3701513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 2*s - 12. List the prime factors of h(11).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 56 = -5*p. Suppose 3*u - 4*x = 20 - 6, -2*x - p = 5*u. Let f = -10 - -7. Which is the closest to u? (a) 0.2 (b) f (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2466 by 20573.\nAnswer: -2466\/20573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**3*o - 927*l**3 + l**2*o - 7*l**2 + 104*l*o wrt l.\nAnswer: -6*o - 5562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(5*(-18)\/36)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 - 1966 = -12*p. List the prime factors of p.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.59 + -1.59. What is the smallest value in 0.22, c, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -242*s - 26. Let i be b(-1). Let j = 664 - 568. Calculate the highest common factor of j and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 6*y**3 + 252*y**2 + 2432*y + 107. Calculate x(-27).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 4 (c) 1\/3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 820 and 6060.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 267874867 by -150407.\nAnswer: -1781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2839*g**2 - 60*g - 385. What is the hundreds digit of j(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 12) to base 16\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-114)\/19*((-6)\/4 - -1). What is the closest to 1\/2 in h, -2\/5, -13, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104622493 is divided by 176.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 54 = 39. Suppose -c = -j*a + a + 7, -3*c + 7 = a. Let p = -8 + 10. Solve -3*v - 5*g = 9, a*v + 6 = -4*g + p for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127477365*j**2 + 2*j + 2651245?\nAnswer: 254954730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33198 + 33203. Solve -b*h + c + 25 = 0, 4*h + 5*c = -17 + 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1280182678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4110 (base 5) to base 4\nAnswer: 20102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (11 + -2)\/((-141)\/94)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12780 and 29703560?\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1567, -507, 2367, 7961, 17181, 30933, 50123, 75657?\nAnswer: 108441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 7*u**2 + u - 2. Suppose 0*g - 12 = 4*g. Is l(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 9:47 PM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 165 - 2 - 4*c + 10*c**2 - 37*c**2 - c + 261 wrt c.\nAnswer: -54*c - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02234 rounded to three decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*r = 30097 - 30272 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2051 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311 = 15*d - 236 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z - 4*b + 18 = 0, -3*z - 3*b - 18 = 0. Let w = 11 + z. Suppose -2*l + 4*k = -44, 36 - 14 = l - w*k. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-214)\/(-28)*(4725\/162)\/(-25) and -19\/336.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 74, -5, 5, -101 in increasing order.\nAnswer: -101, -5, 5, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 87 and 228?\nAnswer: 6612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 2:33 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -q**2*u*y + 3034*q**2*y**3 + 2*q**2*y - 1382*q**2 - 3*q*u*y**3 + q*y**3 - 261893*u wrt u.\nAnswer: -q**2*y - 3*q*y**3 - 261893","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*f**2*j + 571*f**2 + 25*f*j + f - 2*j wrt f.\nAnswer: -8*j + 1142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -541 + 543. Let x be ((-1)\/18*k)\/((-6)\/18). Let x*q**4 - q**2 + 0*q**3 + 0 - 2\/3*q = 0. What is q?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 275 and 9102550?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450)*1 - -2*sqrt(288))*-1)\/(sqrt(24) - -5*(sqrt(144)\/sqrt(6) - sqrt(24)) - sqrt(24) - (sqrt(864) + -3*sqrt(864))).\nAnswer: -13*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/28)\/(15\/8 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.7 + -3.35. Let k = n - 2.35. Put 3, k, 3\/4 in increasing order.\nAnswer: k, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 228*i.\nAnswer: 2*i*(i + 114)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1072223415 + 0.17.\nAnswer: -1072223414.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b - 22. Calculate h(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.407807051 to three decimal places.\nAnswer: -5.408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.58 - -0.8. Let t = j + -1.4. Sort t, 0.3, -3\/8.\nAnswer: -3\/8, t, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8133308437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -253 (b) 3 (c) -2\/3 (d) 4 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -5, -1, 4 in increasing order.\nAnswer: -5, -1, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 2\/3, -4\/7, 1\/9, 3\/13, 5 in increasing order.\nAnswer: -4\/7, 1\/9, 3\/13, 1\/4, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007248197 rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hl when two letters picked without replacement from zlhzgg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.54 + -17. Let x = 0.83 + i. Let j = x + -7.87. Round j to 0 decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167514023 to the power of 1\/4, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-one fifths of a kilometer?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - r**2 + r - 1. Let g = -22 - -22. Determine d(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-9) + 2\/6. Let a(s) = -s + s - s + t. Let r(f) = 3*f**2 + 4*f + 4. Let n(j) = -2*j**2 - 3*j - 3. Let b(g) = -4*n(g) - 3*r(g). What is a(b(o))?\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**2 - 25*t - t**3 + 3*t**2 + 2 + 2*t**3 + 24*t in the form q*t**3 + j*t + y*t**2 + w and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 462*n + 2 - 9 - 182*n - 9 - 212*n.\nAnswer: 68*n - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -69, 5 in descending order.\nAnswer: 5, 3, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.9 + -0.1. Let p be (0 - (-1)\/(-3))*3. Let o = 26 + -25. What is the closest to p in w, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-145)\/(2\/(-16) - 4186854\/(-33495728)). Let n be 5\/(-35) - b\/(-35). What is n rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 69939 - -3?\nAnswer: 6993c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5797\/4 + -1450. Which is the nearest to 0.5? (a) 0.2 (b) g (c) 0.4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (30 - ((-4 - 11) + 28)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-105)\/(-33) - (-6)\/(-33). Let t(p) be the second derivative of -1\/90*p**5 + 1\/18*p**4 + 0 - 1\/9*p**m - p + 1\/9*p**2. Factor t(i).\nAnswer: -2*(i - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -752 and 0.09?\nAnswer: 752.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/3 + 0)*3. Suppose -6*u + q*u = -21. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 11:06 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 69912*m**2 + 69907*m**2 - 139822*m**2 + 0.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkjbbbjbbjj. What is prob of sequence kj?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2620.969 rounded to the nearest one hundred?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + sqrt(7))**2 + sqrt(252) + 1 + 1.\nAnswer: 2*sqrt(7) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzzz. What is prob of sequence zz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/3*(-3)\/(-2). Let x(u) = -2*u + 1. Let g be x(t). Let m = 5734 + -5732. Solve m*y = -y + g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1044745332 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 k = 33\/80 - -3\/16. What is the closest to -2\/9 in -3, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1084.23, -3, -4, 5?\nAnswer: -1084.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.4 + -4. Let l = -5 - -3. Is l less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d**4 + 32*d**2 + 3 + 18*d + 28*d**3 + 0 + 7*d**5 - 5*d**5 + 1 = 0 for d.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -5*s - 5*g + 7*g, -4*s + 18 = g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, i: 2, t: 2, x: 1, w: 4}. What is prob of picking 1 i and 1 x?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.7078 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/4 - (-1)\/2. What is the tens digit of 1*(-2 + 11) - n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -13049 and -13004 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + x + 20 = 0. Let r = -1 - x. Suppose r*l + 2*y = 25, -l - 2 = -4*y - 1. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + s + 1103 = 0, -3*h + 539*s = 537*s - 821. Solve -290*w + h*w = -39 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2853004\/263 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.59 + 763.41. Let k = c - 766.99595. What is k rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 4 - 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(15\/(-2) + 2). What is the second smallest value in -6, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 277959.9g?\nAnswer: 277959900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*q + 720 + 271 = -251 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 45 = -3*h - 46, -3*h + 8*r = -5. Which is bigger: 6.285 or h?\nAnswer: 6.285","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1423213400 (base 5) in base 10?\nAnswer: -3726100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-638)\/(-8) - 1\/(-4). Let p = 275 + -255. What is the greatest common divisor of w and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -o - 15. Suppose -4*r + o = q - 7, -q - 2*r + 12 = 0. List the prime factors of q + (-4 - (0 + -4)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(5 + -8 + 0)*500\/(-75)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**8*d*d)**(4\/27)\/((d\/(d**2*d))\/d)**(-6\/5) assuming d is positive.\nAnswer: d**(-286\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1634 - 1935.8. Let z = g + 5.8. Let i = -360.5 - z. Round i to the nearest integer.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + p + 34 = 0, 4*p - 10 = 5*w - p. Let z(y) = 4*y**2 + 3*y. Let s(i) be the first derivative of i**3 + i**2 + 60. What is w*s(k) + 4*z(k)?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (59\/(-826))\/(1\/4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-29\/3)\/i*i**21)**(-42))**(-1\/4) assuming i is positive.\nAnswer: i**(217\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 7. Let c(z) = z**2 - 5*z + 4. Let m be c(4). Suppose m = x + 8 + 10. Let t = 12 + x. Give r(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**7\/210 - s**5\/30 - 23*s**3\/3 - 2*s**2 + 4. Let l(i) be the first derivative of y(i). Factor l(b).\nAnswer: 4*b*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 7392101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -33302 times -1.0461\nAnswer: 34837.2222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2 - 3*g**2 - 4*g + 0*g + 4*g**2. Let p(f) = -f**2 - 3*f. Give 3*n(j) - 4*p(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2147 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 7*h**2 + 2*h + 6. Let i be r(-5). Let k = -62 - i. What is the hundreds digit of (-1 - k)*-1*2400\/(-112)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*u = 2*z - 3, 0 = -u + 1. Suppose v + 60 - 13 = z*p, 50 = 3*p + 2*v. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -4.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 15) + 14 - 15.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42 + -31 - (0 - -5) - 1) + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21\/2 - 83\/8*j + 1\/8*j**2.\nAnswer: (j - 84)*(j + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 23\/69 - (88\/(-6) + 0). Calculate the highest common factor of w and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*w - 7*w - 16, -19 = w - 4*t. Let m be (-12)\/7*14*w\/(-4). Calculate the greatest common divisor of 18 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10022 (base 3) in base 12?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15977\/5 - -3209. Is c at least 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11530, -22989, -34448, -45907, -57366?\nAnswer: -68825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(4\/11))**(3\/8)*(a\/((a*a\/((a**(-7)\/a)\/a))\/a))**(-5\/7))**(-1\/47) assuming a is positive.\nAnswer: a**(-1011\/7238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of ((-111)\/9*20)\/((-35)\/630)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1984 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 2:23 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5764, -12924, -20096, -27286, -34500, -41744?\n\"Answer: -m**3 - 7153*m + 1390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + (-1 + 1)\/(-3). What is the first derivative of -s + a*s + 1 - 2 - 3*s wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69200, -3, 0 in ascending order.\nAnswer: -69200, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 49078041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 28\/3 = 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qssz when four letters picked without replacement from ssqsqszsssz?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 8*d + 2*d)*(2*d - 2*d + d + 6*d - 2*d - 3*d + (d + 2*d - d)*(-2 + 5 - 1) - 3*d + 4*d + d).\nAnswer: 56*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5 + (-4 + 1 + sqrt(700) + -1 - (-5*(sqrt(700) + 0) - (sqrt(700) + sqrt(700) + 6*(sqrt(700) + -2*sqrt(700)) + sqrt(700)))) + 0)**2.\nAnswer: -540*sqrt(7) + 6378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 16*m**2 - m + 7. Let f be v(-16). Suppose l - f = 16. Suppose -l = -0*b - b. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 196 = -7*m. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 0, 4*r + 472 = -4*a + 8*r. Suppose -22*x + 6008 = -69*x + 15314. Let f = x + a. Does 20 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -39855, -2, -3, 3 in decreasing order.\nAnswer: 3, 1, 0, -2, -3, -39855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-915)\/126 + 156\/364?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 divided by -5?\nAnswer: 68\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i - 2*i + 3*i)*(i + 0*i - 3*i) - 2 + 4*i**2 + 2 + 12*i**2 - 32*i + 32*i to r*i**2 + d*i + h and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(0 + 0 + 1). Let m = f + 0. Suppose 3*q - 1 = 2*q. Put m, q, -3 in increasing order.\nAnswer: -3, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, e: 7, r: 2, m: 4, z: 1}. Give prob of sequence rrrq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 7*p. Let k(n) = 3*n + 7. Let x(z) = -2*z - 4. Let g(i) = -4*k(i) - 7*x(i). Give h(g(c)).\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(300)*2 + sqrt(300) + sqrt(300)))\/sqrt(12))\/(sqrt(245)*3*3).\nAnswer: 8*sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22847262 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 14 = -2*u, -u = 4*z - 3*z + 1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b103 (base 14) in base 8?\nAnswer: -434337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -15*w**2 + 5*w - 3. Let h(o) = -16*o**2 + 6*o - 4. Calculate -5*h(t) + 6*m(t).\nAnswer: -10*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 3*u - 11, 4*u - 3 = -2*a + 3*a. Let l(m) = 2*m**2 + 12*m + 47. List the prime factors of l(a).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2562 and 549?\nAnswer: 7686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + -4 + (-120)\/(-65). Is x >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 430 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 2*z + z. Suppose -s + z = -0. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 14 + 13. Solve 0 = 3*k - t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 56.3, 2\/11, 3\/152?\nAnswer: 3\/152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 4*z + 3. Let i be l(-1). Factor 6\/5*x**4 + 0 + 6\/5*x**3 + 2\/5*x**5 + 2\/5*x**2 + i*x.\nAnswer: 2*x**2*(x + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -2*g - 3. Suppose 25*n = g*n. Suppose -5*t + 397 = -m, -5*t = -n*m + 5*m - 415. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*g**3 + 12*g**3 + 52*g**2 - 2*g**3 + 124*g - 59*g**2 wrt g.\nAnswer: 12*g - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**20*l)\/l*l*l)\/((l**13*l*l)\/l)*((l**(-9)*l*l)\/l*l)**(-3\/19) assuming l is positive.\nAnswer: l**(192\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 4:49 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 120 = 2*a. Let c be a\/(-4)*6\/(-5). Solve -c - 1 = 2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1393 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3780*y**4 - 453*y**4 - 1 + 5332213*y**3 - 5332212*y**3 + 1325*y wrt y?\nAnswer: -50796*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -119 - -599\/5. Let g = 125 - 119. Which is the second smallest value? (a) g (b) -0.5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -263 - -5?\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -125*n**3\/7 + 255*n**2\/14 - 6*n - 2901. What is h in i(h) = 0?\nAnswer: 7\/25, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 5*z. Let j(h) = -354*h. Give j(q(m)).\nAnswer: -1770*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 11:57 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*x - 2*x - 80, 3*u + x = 76. Calculate the greatest common factor of u and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 868*c - 906*c + 311638. What are the prime factors of c?\nAnswer: 59, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 853544 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 8 = 22. Let w(q) = -q**3 - 6*q**2. Let b be w(-6). What is the third derivative of h**6 + 4*h**2 + b*h**i - 6*h**2 wrt h?\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a century in years?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 7*w + 208. Let o be a(-27). Solve c - 5*t - o = 0, c - 11 = -4*c - 3*t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -7*m + 82. What is the lowest common multiple of 30 and m?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303*m + 34739 + 15128 = 9265 for m.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 7*k = 130. Suppose 110 = -5*z + k. Let p(l) = -3*l - 11. Let y be p(-5). Calculate the greatest common divisor of z and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*t - 29 = -5*i - 126*t, -4*t = 2*i - 0*t - 0 - 22 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**4*x*x**(-14)*x assuming x is positive.\nAnswer: x**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = n - 6. Let d(l) = -l**2 + 4*l + 7. Let y be d(5). Let v(o) = -4*o + y*o - 1 + 1 - n. Calculate v(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - 0.089522.\nAnswer: 1.910478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + (-48)\/(-15))*1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -29*p - 1214. Let s be t(-45). Calculate the greatest common factor of s and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1634, 3, 789, -0.1?\nAnswer: 789","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3215 - -2?\nAnswer: 3221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1146 divided by -25\nAnswer: -1146\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33195 is divided by 279?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22916)\/337*(-2)\/(-8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -235 - -247. What is the tens digit of 4258\/a - (235\/30 - 8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 495 and 275049720?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(9\/8)\/t**10*(t\/(t*t\/t**(5\/3)))**36 assuming t is positive.\nAnswer: t**(121\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*j - 2*r - 10 = 0, -5*r + 17 = 2*j. Let w be (1 - -1) + 4 - 4\/8. Which is smaller: j or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -45.5 at least 30\/113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6404 - 76759\/12. Let m = 2\/945 - -1006\/945. Let v = m - -163\/30. Calculate the common denominator of v and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 282978080+-2377\nAnswer: 282975703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 0*u**3 + 1 - 3*u**3 - 5*u + 4*u. What is the remainder when s(-2) is divided by (9 + -4)*119\/85 - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y - y + 2*y + (-4*y + 2 - 2)*(3 - 3 + 1) - y - y + 3*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 203\/14 - (-4)\/6 and 4\/18 - (-1239)\/(-594).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-one halves of a millisecond?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 j, 1 q, and 1 y when four letters picked without replacement from {y: 2, q: 1, i: 1, j: 1, m: 2, e: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(1\/8)*c*c**(1\/3))\/(c*c*c*c**1*c)**(-22) assuming c is positive.\nAnswer: c**(2693\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 9:12 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h + 51878 = 3*s + 52071, -s - 56 = 5*h for s.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93005 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32055 + 4*s**3 - 19*s**2 + 19*s**2 + 32055.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 2*b + 15, 3*j + b - 10 = 6*j. Let s(a) = a**2 - 4*a - 12. Does 7 divide s(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 363080287 to the nearest integer?\nAnswer: 19055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (54\/84)\/(18\/21). Suppose 0 = -8*o + 5*o - 3. What is the biggest value in 2\/5, d, o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1043 is divided by 279.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(2\/3)\/a*a*a)\/a)\/a)\/(a**(-1\/4)\/a))**(-15)*(a**(-2\/7)\/a)\/(a\/a**(3\/2)*a)*(a**(1\/4))**(-37) assuming a is positive.\nAnswer: a**(-347\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 112\/(-448) - (-1)\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 395963\/42718 + 11\/(-2) + -4?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -886*y - 886*y + 1771*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 19*z - 24*z + 15765, -2*z - n + 6294 = 0. Is z a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 583400 and 2400?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/11 (b) -9\/4 (c) 9 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/5 + 232\/(-520). Which is the nearest to 1\/4? (a) 4 (b) w (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 23 + -17 + 9 + -5 + 34.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v - 1. Let g(d) = -d + 6. Let k be g(4). What is h(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 228 and 496850?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182757 is divided by 1871.\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3909 = -2*r. Let v = r + -15561\/4. Let l = 268\/37 - 867\/370. Find the common denominator of l and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -8975575064222 and 2.\nAnswer: -8975575064220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*d - 4*h + 175, -d + 4*h = -120. Is 49 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -118, -160, -222, -298, -382, -468?\n\"Answer: d**3 - 16*d**2 - d - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56020254 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6697\/27 - -248. Sort 5\/3, v, -3, 0.2, -4 in increasing order.\nAnswer: -4, -3, v, 0.2, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 60, 59, 50, 27, -16?\n\"Answer: -j**3 + 2*j**2 + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 55835.65 millennia in years?\nAnswer: 55835650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -393*v - 8*v - 40 - 261 + 15 wrt v.\nAnswer: -401","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 - (-1 + -8 + 0 + (803 - 799)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -3. Suppose -v = -5*j + 71, 0*v = -c*j - v + 41. Calculate the greatest common divisor of 42 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 148*m**4 - 9*m - 65*m**2 - 151*m**4 + m**3 + 64*m**2 to the form x*m**3 + j*m + o*m**2 + t + g*m**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 25. Let q be ((-168)\/x)\/7*-21. Let a = -14 + q. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2154477\/26158 - 3382\/41. Calculate the common denominator of 89\/58 and w.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 19*a - 81. Let u be r(-12). Let h(k) = k**2 - k - 1. Let y(l) = 6*l**2 - 3*l - 6. Let b(g) = -4*h(g) + y(g). Is b(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188, -374, -560, -746?\nAnswer: -932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.19? (a) 3 (b) 0 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiezeiizizisss. Give prob of sequence iz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 + -1 - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28347 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8964626*b**3 - 19408428*b**2?\nAnswer: 53787756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*j**4 + 9501*j**2 + 197004*j wrt j?\nAnswer: -60*j**2 + 19002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiy when three letters picked without replacement from iriy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 932380000 to the nearest 1000000.\nAnswer: 932000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1178*d = 1178*d + 5*i - 4 + 29, 31*i + 123 = 4*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 - 5 - (2 - 5) - 1. Suppose q + w*q + 18 = 0. Let t be (q\/(6\/4))\/8. Which is the fourth smallest value? (a) -2 (b) t (c) -2\/5 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1653056*k**2 + 10827*k - 15 wrt k.\nAnswer: -3306112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 54712, 218834, 492366, 875308?\n\"Answer: 54705*f**2 + 7*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 75*d**2. Let g(z) = -16*z**2. Calculate u(g(c)).\nAnswer: 19200*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.1 + 28.1. Let v = -15.9 + f. Which is smaller: v or 90?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/(-18)*4\/(-13).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 907508650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 o when two letters picked without replacement from {s: 1, v: 3, a: 1, i: 5, o: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 195*a - 814. Determine q(4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 - 10*b + 12. Let v be y(-4). Solve -3*n = n + v for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 34)\/(6\/(-8)*2). Calculate the highest common factor of 44 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 6*m - 48. Suppose 11*k = 13*k + m. Put -2, 11, 0.1, k in descending order.\nAnswer: 11, 0.1, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32816 divided by -23.\nAnswer: -32816\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*r**3 + 105*r**3 + 102*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 125241796 a multiple of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (76\/(-1938))\/((-16)\/(-96) + 10\/(-12))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 11*g - 74712. Suppose 45*j - g = 34*j. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-7) - 1880\/(-35) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*g*j**3 - 39*g*j**2 + 22*g*j - 48*g - 71664824*j**3 wrt g.\nAnswer: 33*j**3 - 39*j**2 + 22*j - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -33*m - 12*m**2 + 7*m**2 + 7*m**2 + (-4 + 4 - 1)*(m**2 + 0*m**2 - 3*m**2).\nAnswer: 4*m**2 - 33*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*g, -g + 10196 = 4*o - 5*g. Suppose 3*l + o = 15*l. List the prime factors of l.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -233 + 241. What is the smallest value in -0.3, 0.4, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 + 3*v. Let g be k(2). Let x be (0 - 2 - g)*-1. Which is the second smallest value? (a) 0.5 (b) 3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -4\/13, -1\/5, 28, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3 = -x, -q = -4*q + 5*x + 13. Suppose -q - 47 = -6*b. Let v(t) = 3*t + 5. List the prime factors of v(b).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-40)\/24 + (-4)\/(-2). Suppose -74 = 8*x + 2*d, -d = x + 13 - 9. Which is the nearest to z? (a) -0.3 (b) 2\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/5 - 96*x\/5 - 106.\nAnswer: 2*(x - 53)*(x + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(360) + sqrt(10) + (sqrt(10) - -4*sqrt(50)\/sqrt(5)))\/(4*sqrt(2)*3 + 2*sqrt(18)).\nAnswer: -4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 8 = -5*q, -q + 2 = -b + 2*q. Let k(n) = -2*n - 6. Let s(p) = -5*p - 16. Let x(w) = 8*k(w) - 3*s(w). Let u(i) = -2*i. What is b*u(a) + 5*x(a)?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -m - 2124. Let i = m - -246. Let o be (i\/30)\/((-3)\/20). Calculate the greatest common factor of o and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(209) - sqrt(209)*1))\/sqrt(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 126*g - 117. Let f(r) = -r + 1. Give 702*f(o) + 6*n(o).\nAnswer: 54*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*f - 1480 = 0, -3*u = -4*u - 4*f + 276. Let l = u + -154. What are the prime factors of l?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -8 - 13*r**2 + 2*r + 3*r + 14 + 6*r + r**3. Suppose 4*l - 27 = 21. Determine q(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g + 37*g - 13*g + 15*g.\nAnswer: 44*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 2750?\nAnswer: 2753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s**2 - 670*s - 23630. Calculate g(-33).\nAnswer: 3925","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 0.26. Let w = z - 0.48. Round w to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -136416 or -136239?\nAnswer: -136416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -161 - -828. Suppose 5*p - u + 1 = -3*k, 0 = p + 4*k - 140. Does 5 divide 1 - (-5)\/(20\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1224431570 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s. Let j(q) be the second derivative of -q**6\/240 + q**4\/2 + 8*q. Let v(u) be the third derivative of j(u). Give m(v(d)).\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1071*w + 644*w - 12432 = 461*w for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 4*w - 110, 0*p + 2*p = -2*w + 78. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**2\/2 - 5*x + 4. Let v(t) = -t + 6. Let i(j) = 5*v(j) + 6*y(j). Determine i(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 0)\/((-6)\/(-48)). Suppose 0 = 3*r - z*r + 95. Calculate the greatest common divisor of 152 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/62806717?\nAnswer: 1\/62806717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 2:17 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 949 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 9*l**3 + l. Let q be m(1). Let o = q + -8. Let w(f) = 9*f**o + 62*f - 62*f. Let d(i) = -2*i. Give d(w(z)).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -238356*x. Let y(g) = g. Determine y(h(i)).\nAnswer: -238356*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 8*t**2 + 10*t + 9. Let a = 221 + -230. Determine w(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -323, -7511, -27251, -65891, -129779?\nAnswer: -225263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 145875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2150727185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 4*f**2 - 2*f + 1. Let z be u(-3). Let w be (-164)\/(z - 6*6\/(-21)). Let m = 465 + w. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.00151 times 157\nAnswer: -0.23707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Find the third derivative of -4*o**2 + 3*o**r - 4*o**6 - 2*o**2 + 3*o**6 wrt o.\nAnswer: -120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7*r - 3. Let u be (-4 - 13) + 0\/(-2). Let t = u - -22. Let q(j) be the second derivative of -4*j**3\/3 - 2*j**2 + j. What is t*q(m) - 6*n(m)?\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 2. Let t(k) be the first derivative of k**3\/3 - 6*k**2 + 7*k + 2. Let a be t(11). Determine y(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 9*i**2 + 7*i**2 - 7*i**3 + 8*i**3 - 1 + 15*i. Let q be u(-15). Sort 9, 6, q in decreasing order.\nAnswer: 9, 6, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 10) to base 3\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 8*j**2 - 9*j + 17. Let o be f(7). Let v = 21190 - 13934. Suppose o*b - v = 4*a + 20153, -b + 13703 = -2*a. Round a to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven eighths of a minute?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*d + 45 - 45.\nAnswer: -30*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 5\/1298 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 2 (b) 22 (c) -0.4 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) 0.2 (c) -1\/9 (d) 0.06 (e) 5\/4 (f) 81.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(-6\/11))*b*b**(-1\/3))\/(b**(-2\/17)*(b**(-8)*b)\/b)*((b**(2\/9)\/b)\/b**(-6))\/(b**7\/b**8) assuming b is positive.\nAnswer: b**(24338\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229894 = -4*x - 202106. What is x rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1218 + 10?\nAnswer: 1228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 1 + 8 = 0. Suppose -t - 5 = 0, n = -w*n + 5*t + 81. Calculate the remainder when 26 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54898320.\nAnswer: 2, 3, 5, 59, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 3*z + 8 - 3*z - 10.\nAnswer: -3*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12320 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/1440176 and -95\/12.\nAnswer: 4320528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 0)*(38 - 33 + 17) + 0 + 0 + 5)*(1 - 1 - l).\nAnswer: 39*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q + 1. Suppose 0 = 3*o - 6*o + 72. Calculate the remainder when o is divided by u(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o + 4*k + 4, -5*o + 4 = -k + 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t**(3\/4)*t))*t*t*t*t**(-15))**36\/(t\/t**15*t\/(t\/(t**(-1\/3)\/t)*t))**(-34) assuming t is positive.\nAnswer: t**(-2773\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3 = -0*d. Is 9 a factor of 0 + d\/((-1)\/23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - 0.1. Let l = 330 + -332.41. Let n = -1.41 - l. Which is the nearest to 1? (a) -5 (b) n (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-80))\/((-222)\/296)*(-40)\/12.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396*a + 395*a - 7 = 0, 7*c = 5*a + 56 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (4 + -6 + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -c11 (base 16) to base 10\nAnswer: -3089","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (12 + 5 - 32).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y + 5*o + 72 - 95 = 0, -2*o + 1 = -2*y - 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gcgccggggcgcgggccgg. What is prob of sequence cgc?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 1716?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 9*g**5\/5 - 11*g**3\/3 - 71*g**2 + 171. Find the second derivative of f(t) wrt t.\nAnswer: 108*t**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g + 50310 = -13*g + 18*g. Does 43 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w**2 - 13*w - 1. Let q(k) = 3*k**2 + 9*k + 1. Calculate -5*g(p) - 7*q(p).\nAnswer: -p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21*(-22)\/(-66)*(-36)\/(-28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*s**2 - 25503*s + 6375 = 0. What is s?\nAnswer: 1\/4, 2125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**3 - 18*i + 3*i**3 + 3*i**3 + 20*i.\nAnswer: 6*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5429 times -4.543\nAnswer: 24663.947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1800218625?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 296078540 to the nearest integer?\nAnswer: 17207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -39*w**4\/8 - 545*w**3\/2 - 2671*w**2. What is o(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, b: 9}. Give prob of sequence vbbv.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.5 - -4.1. What is the closest to -0.1 in 2, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10410611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1.9, 254, -3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -12, -95, 4 in ascending order.\nAnswer: -95, -12, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5*w**2 + 6*w + 6. Let u(p) = 4*p**2 - 5*p - 5. Let d(x) = -5*i(x) - 6*u(x). Let s(n) be the second derivative of 5*n**3\/3 - 8*n. Give s(d(a)).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18203 and 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**5\/7 - 22*y**4\/7 + 56228*y**3\/7 + 3410368*y**2\/7 - 44259072*y\/7 = 0. What is y?\nAnswer: -104, 0, 11, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4*m + 12 = 0, 5*b + 3*m - 9 - 6 = 0. Sort b, 2, 10.\nAnswer: 2, b, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4523*k**3*w**2 - 2*k**3*w + 2*k**2*w**4 + 2*k**2*w - 5*k**2 - 285*k wrt w?\nAnswer: -9046*k**3 + 24*k**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/7*(1 + -8). Let b = -197 - -322. Let t = b - w. Is 26 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + (sqrt(864)*2 - sqrt(864)) + sqrt(864))\/(sqrt(3) + -1*3*sqrt(3)) - (4 + -2 + sqrt(18)*-2 + -5).\nAnswer: -13*sqrt(2)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, s: 1, w: 5, t: 2, k: 1}. Give prob of sequence kshw.\nAnswer: 1\/792","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 705.2953 millilitres?\nAnswer: 0.7052953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1022 (b) 2\/3 (c) 5 (d) -27 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 6*o - 2*o + 18, -40 = -5*v + 5*o. Let n(g) be the first derivative of g**2 - 19*g + 2416. Calculate n(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + 6\/54*-33)*(-9)\/66. Suppose -11*r - 9 = -2*r. Which is bigger: r or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 185273016, 185273014, 185273012, 185273010?\nAnswer: 185273008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a year?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -6*v + 2*v - 3346 + 3429. Calculate the remainder when u(0) is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-8))\/(9\/3 + -2). Which is the third smallest value? (a) -4 (b) -0.3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 578*q - 4113. Determine r(7).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 s when three letters picked without replacement from {p: 5, s: 13}?\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3 + 116*x - 42*x - 69*x + x**3 + 4*x**2. Calculate w(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -538, -268, 68, 470, 938?\n\"Answer: 33*k**2 + 171*k - 742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v + 6 = 27*v. Which is the biggest value? (a) -2\/3 (b) -0.3 (c) -12 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71 - 72. Is 274 - (-2 - (-5 + p) - 4) a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -14*w + 8. Let j(l) be the first derivative of 5\/2*l**2 - 3*l + 39. Let p(g) = -g**3 - 5*g**2 + 3*g - 7. Let i be p(-6). Give i*j(x) + 4*o(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.03 (b) -1 (c) -19 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/8 of a century?\nAnswer: 1950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 0 (b) 4\/5 (c) -3 (d) -5\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(275) + sqrt(11) + sqrt(11) - sqrt(11))*-4.\nAnswer: -24*sqrt(11) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-57.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 38 - 1580?\nAnswer: -1543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**4 + 3*k**4 + 2*k**4)*(-5*k + 4 + 5 - 7).\nAnswer: -5*k**5 + 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 2*o + 551 - 535 = 0, 0 = -4*a - 3*o - 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 450 = -6*k. Let c be k\/5*(-5)\/30. Put c, 2, 0.01, 0 in ascending order.\nAnswer: c, 0, 0.01, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5780, 6009, 6694, 7835, 9432?\nAnswer: 11485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/103 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 12 = -2*c - u, -3*c + 4*u = 17 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 - 0.2. Let v be 3\/2 + (-1)\/1. Let i = -11 + 7. Which is the nearest to -1? (a) n (b) v (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*a - 5 = -0*r, -1 = -r + 3*a. Let u(v) = 13*v + 13 + 3 - 14*v. Let w be u(15). Solve i = -r + w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*-16.023.\nAnswer: -384.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -102*((-608)\/(-57))\/(-32). Solve -118 = -14*h - i for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31065 - -60262. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2175518.\nAnswer: 2, 31, 35089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 188380?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 4*q**2 + 6*q - 2. Let c be (-18)\/(-3) + (3 - 3). Suppose -4*a + 9*a - 55 = 0. Let g(r) = 2*r**3 - 7*r**2 - 11*r + 4. What is a*m(s) + c*g(s)?\nAnswer: s**3 + 2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*y**4 + 5*y**4 + 15*y**4)*(1 + 3 - 1) to the form c*y + r*y**2 + h*y**3 + x + w*y**4 and give w.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 16. Let m be q(-12). Suppose 2*a - 3*a = 5*x + 5, x = m*a + 62. Let l = -9 - a. What is the remainder when 15 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 79799244818.\nAnswer: 79799244816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, 3\/2, -20, 2, -11.2 in increasing order.\nAnswer: -20, -11.2, -4\/7, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -7. Sort -4, 1, -1, h in ascending order.\nAnswer: -4, -1, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 7*q + 19. Give x(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 5. Let p(o) = -2*o**2 - 8*o - 5. Let k(r) = -3*r**2 - 9*r - 6. Let m(b) = -5*k(b) + 6*p(b). Calculate m(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 + 150*g**2 - 17479*g.\nAnswer: g*(g - 77)*(g + 227)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -22*v + 25*v - 8, -v + 76 = -4*w. Let f(l) = -l**2 - 12*l + 160. Let z be f(w). Which is greater: -316 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0770417 rounded to 3 decimal places?\nAnswer: 0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1708496 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5*1*sqrt(85) + sqrt(85) + (sqrt(85) + (sqrt(85) - -1*sqrt(85)*4) + sqrt(85) - sqrt(85)) + sqrt(85)))\/(2*sqrt(180)*-5*5).\nAnswer: 3*sqrt(17)\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -12*a + 30. Suppose -4*m = -4*s + m + 35, 11 = 4*s + a*m. Solve -1 - 40 = -s*l + 4*y, 3*l + 4*y + 1 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43)\/387*(14\/35 + 3\/5)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/2 - 53*a**2\/2 - 2589*a\/2 + 8217\/2.\nAnswer: (a - 83)*(a - 3)*(a + 33)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -13*m + 10. Give i(5).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17245, -3, 5, -5 in increasing order.\nAnswer: -17245, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 438670784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 11:18 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 239 + 289. Let o(k) = k**3 - 7*k**2 - 8*k + 11. Let v be o(8). Let x = v - i. Calculate the greatest common factor of 13 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = -14*x + 5. Let i be -1*x\/14*-4. Let b = 5.7 - 6. What is the third biggest value in i, 1\/4, b, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -156.7 + 156.63. Which is the nearest to 2\/7? (a) 5 (b) s (c) -14 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -9\/26, -0.02, -5, -10?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 15*m - 3. Is p(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 261865 and 115953822?\nAnswer: 579769110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.7 + -0.3. Let y = 0.1 + n. Sort y, 0.3, 0 in increasing order.\nAnswer: 0, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 6*h + 8. Calculate d(-13).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 53998847 and 42.1.\nAnswer: 53998889.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/46 - -36\/23. Which is smaller: -2\/13 or y?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n**3 + 3*n**2 - n - 1. Let t(z) = 7*z**3 + 5*z**2 - z - 2. Suppose 5*c + 37 = -43. Let y = c + 21. What is y*u(p) - 3*t(p)?\nAnswer: -p**3 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + 0 - (-25 + (-19 - -37)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 9:04 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 23 = 8. Let h = 48 + -52. What is the remainder when f is divided by h\/22 - (525\/55)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 8*x**2 + 6*x + 8. Let q be t(7). Let g be 1\/((-3)\/(-9)) - q. Suppose g*n + 2*o - 18 = 8, -3*n + 59 = -2*o. 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 value of (24 - 10) + -3 + -2 + 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*j + 14*j - 4*q + 4, 4*j + 4*q - 28 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -8*o**2 - 76*o\/3 - 56\/3 = 0.\nAnswer: -2, -7\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*a + 2*a. Find the common denominator of (a\/25)\/((-2)\/73) and -5\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/(-35) + (-1)\/(-5). Suppose 5*q - 3*n - 405 = c, -5*n - 27 + 2 = 0. Suppose 2*o - 40 = -r + q, o = -r + 60. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01292085 rounded to five dps?\nAnswer: -0.01292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14285775 and 4725.\nAnswer: 128571975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3*u)*(-3*u - 2*u + 6*u)*(-2*u**3 + u**3 - 2*u**3) - u**3 + u**3 + u**5 - 1 + 1 - 2*u**5 + (5 - 5 + 2*u**3)*(3 - 2*u**2 - 3).\nAnswer: -14*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -0.3, -1\/6, -0.39, -1, 0.6?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.42 in 4, 6, 0.1, -173.2, 2\/3, 0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 291640 to the nearest one thousand.\nAnswer: 292000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-5)\/38)\/(-1))\/(354\/((-926064)\/545))\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*(-3)\/6)\/14.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7250000 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 306 + -306.1. Let k = 15\/44 + -1\/11. What is the nearest to k in 5, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.04 (b) -19 (c) 5 (d) 685\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7431*7 - (20 + -26) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 0.51, -3\/97, 0.2, -2, -1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 845 = -5*n - 663, 3*p - 1476 = -3*n. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128505491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(24)\/sqrt(6)) + sqrt(21))\/(sqrt(33)\/sqrt(11)*-1).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1227*b**3 - 1769 wrt b?\nAnswer: 3681*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*c = 81 + 33. Suppose -3*l - 7 = -4*b + 7, 4*b + 4*l = 0. Suppose 0 = 4*n - 0*n - 48. Solve -a = -4*v - n, b*v + 6 = c*a + 3*v for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 3848. Let n(h) = 2*h**2 - 47*h. Give n(w(b)).\nAnswer: 2*b**4 + 15345*b**2 + 29433352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2458 - 1722. Let z = -1753 + v. What is z rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-4))\/((-30)\/(-200)). Suppose -d + 3*d = -r, 7 = 3*i - 2*d. Is (i - -37) + (-40)\/(-10) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(1800))\/(sqrt(36)\/(-3*sqrt(6))))**2 + (-1*sqrt(432))**2*-2 + sqrt(432) + sqrt(432) + (sqrt(432) - (sqrt(432) - (3 + sqrt(432)*-2)))**2.\nAnswer: -120*sqrt(3) + 25173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2 = 7. Let a(d) = 2*d - 3. Is a(c) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -543*i**3*t**3 + 44*i**3 + 7*i**2 + 3*i*t**3 - 71*i*t - 54*t**3 + 2*t wrt t?\nAnswer: -3258*i**3*t + 18*i*t - 324*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from {s: 5, q: 2, i: 8}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-1))\/(-1*1). Let x(t) = -4*t - 28. Let r be x(-9). Suppose -5*w + 10 = 5*c, -2*w + 4*c - 2*c = -r. Which is greater: b or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12843 is divided by 63.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -318 = -102*n + 192. Let o = 38 + -34.2. What is the biggest value in -1\/2, o, 2\/23, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 147 + -146.31. Let d = -0.09 + c. What is d rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-18\/7)*k)**(2\/35)\/((k**(-6)*k)\/(k\/k**30*k)))**(-4\/9) assuming k is positive.\nAnswer: k**(22628\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/14*(-262689)\/(-3574)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d + 41*d = -144 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(-8)*0 + 22?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21006\/57097 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -494, -2001, -4512, -8027, -12546?\n\"Answer: -502*w**2 - w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38154 + 38153. Let i(y) = -14*y**3 + y**2 - 4*y - 3. Give i(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3617*v**2 - 6*v**3 + 1 + 3617*v**2 + 2*v**3.\nAnswer: -4*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-40)\/(-14))\/(6\/21) + 5. Suppose 0 = -5*r + 8*r - 12. What is the biggest value in -7, r, 0.4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89 + 11748*p**2 - 89.\nAnswer: 11748*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -272825401592 plus -0.54?\nAnswer: -272825401592.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 3*l - 0*l + 2*t, -5*t + 4 = l. Let y = l + 85. Calculate the remainder when y is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 9:41 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.2 = -579?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2760357, 2760339, 2760311, 2760267, 2760201?\nAnswer: 2760107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/6 - 2)*3. Let z be (-5)\/(-4)*l\/(-20). Let s = -6 + 6.4. What is the nearest to z in s, -1\/2, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 112166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 + -116\/3. Let u = 103\/380 + -2\/95. Is y smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/15856 and -79\/31712.\nAnswer: 31712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -23252*l**2 + 2*l + 24. What is i(0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -1. Let u(q) = -6*q + 8. Let o(f) = u(f) + 6*w(f). Suppose -28 = s - 5*p, -2*s + 3*p - 18 = -s. Is o(s) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20250*u + 18 + 34 - 12 + 27.\nAnswer: -20250*u + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 117, 125, 137, 153, 173, 197?\n\"Answer: 2*q**2 + 2*q + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 619204191573 minus 0.04?\nAnswer: 619204191572.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -2*v + 22, -11*v = 3*j - 15*v + 32 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*p**3 + 20*p**3 - 81*p**2 + 46*p**2.\nAnswer: p**3 - 35*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51178 and 6.\nAnswer: 153534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 1285\nAnswer: -1\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 9*b + 6. What is h(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11, -30, -73, -152, -279?\n\"Answer: -2*p**3 - 5*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, g: 1, v: 1, n: 2}. Give prob of picking 1 o, 1 g, and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 9:57 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 62107317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 831445 = -5*v - 5*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 33 = -30. Factor 7 - 6*m + v + 0 + 0*m**2 - 2*m**2.\nAnswer: -2*(m - 1)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5035 + 5024. Let q = 22.3 - 22. What is the second smallest value in -0.5, q, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11136384?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.15 and -0.01.\nAnswer: 0.0615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 481 + -279. Let m = 23\/52 + 2604\/13. Let n = m - d. Sort 0, n, -3 in descending order.\nAnswer: 0, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2728*p + 31. Let t(d) = d - 168. Determine t(m(i)).\nAnswer: -2728*i - 137","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1825 is divided by 469\/21 - 36\/27?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56600 and 1900.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - -4)*-4 - -4. Let j be 43 + 0 - 32\/v. Calculate the greatest common factor of j and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8 + 18 + (-12)\/2. Put -6, -11, -1, r in increasing order.\nAnswer: -11, -6, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 5*i + 100 = 48, 0 = -79*u - i - 146 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**2*o**2*y - 392*i**2*o**2 + 55*i**2*o - 127*o**2*y + 341*o*y wrt o?\nAnswer: 2*i**2*y - 784*i**2 - 254*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 5*y**2 - 3*y + 5. Let x = 71 + -67. What is n(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 734 + 1.176\nAnswer: 735.176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11621507?\nAnswer: 11621507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**2 - 81*x**3 - 3*x**2 + 27*x**3 + 17*x**3 + 8*x**2 + 36*x**3.\nAnswer: -x**3 + 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**4 - u**3 + u**2 + 1. Let g(d) = -4*d**2 - 2*d**2 - 4*d**4 - d - 3 + 0*d. Let j(c) = 3*a(c) + g(c). Let j(t) = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 263578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 166582965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 26041409.2 to the nearest one thousand.\nAnswer: 26041000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*y + 351884 = 0. Suppose -4*z + 1492010 = -y. Let r = -706988 + z. What is r rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 54?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2 - 9*p - 32. Determine d(-6).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 678992429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/568511 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 + 14*p**2 + 3*p**2.\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {m: 2, s: 10}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.194 - 1.2549811?\nAnswer: -1.4489811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(1350\/(-15))*-8.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - 2. Let u(g) = g**3 + 3*g**2 + 4. Let t be u(n). Find the third derivative of -3*j**2 + 0*j**5 + 2*j**5 - 4*j**t + 4*j**4 wrt j.\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 10 = 14*h. Suppose 0*j - 3*j = 5*q - 22, 0 = j + h. Suppose -y + 30 = y + q*d, -y = 5*d - 25. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1122 (base 4) to base 13\nAnswer: 6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*c + 3*c - 5*a = 76, 36 = -3*c + a for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*t + 26*t + 231 = -23*t for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 0*s + 6*s**2 + s**2 - 3*s**2 + 2*s. Suppose 0 = -0*v - 2*v - 4. What is the units digit of t(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -14. Calculate the greatest common divisor of 9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -95.98 + 96. Let r = 0.09 - u. Let n = r + -0.074. Round n to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -155*j**3 - j**2 + 2*j - 7. Let c be i(-2). Which is smaller: 1227 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 232 + 148. Calculate the common denominator of b\/(-8) + -4 + 3 and 10\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/4 + 16\/(-56)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4003449.\nAnswer: 3, 17, 23, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 3:02 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2232 + -3113?\nAnswer: -991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -6*l + 4*l. Let m be l\/3 + (-1)\/(-3). Let k(s) = 2*s**2 - 8*s + 7. Is k(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minus 273292.01?\nAnswer: -273185.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 441 times 99\nAnswer: 43659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*v - 1320 = -5*p, 4*v = -p + 281. Let k be p\/(-12)*16\/(-6). What is k rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + b - b**2 + b**4 + 3 - b**3 - 10 to n*b + r + g*b**2 + p*b**4 + z*b**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 93 + 544946?\nAnswer: 545039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 0, 2*x + 1 = -4*g + 3. Suppose -6 = -5*y - x. What are the prime factors of (4\/1)\/(y\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 35*p**2 + 74*p - 83. Let c = -27 - -60. Let u be y(c). Is 182 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*u + 308 = -4*f, 0 = -5*f - 25. What is the greatest common divisor of u and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (11118\/(-171) - -55)\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2 - 992*f - 997*f + 1987*f + 2. Let z(r) = 1982*r. What is j(z(v))?\nAnswer: -3964*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005551 rounded to five dps?\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 27*x + 19*x - 61 = 50*x, -4*b + 15*x + 155 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (3 - ((4 - 3) + -2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57252983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101110 - -10001010100001?\nAnswer: 10000110110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 336801 less than 4880?\nAnswer: -331921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 980, 0.148, 11, 3\/4 in increasing order.\nAnswer: -0.2, 0.148, 3\/4, 11, 980","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 10. Let p be 55\/(-10) + (-1)\/y. Let u = -8.0976 - -0.0976. Which is the fourth smallest value? (a) -2 (b) p (c) u (d) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -388\/3, -1\/6, 0.19, -3 in descending order.\nAnswer: 0.19, -1\/6, -3, -388\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -480 divided by 102.\nAnswer: -80\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3901375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 307365731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 163351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 86 in -21\/5, -3, 13\/10?\nAnswer: 13\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 8*u - c, -8*u + 11*u - 57 = -3*c. What is the smallest value in -5, 34\/3, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -4470, -2\/13, 1, -1\/5, 6 in ascending order.\nAnswer: -4470, -1\/5, -2\/13, 2\/3, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 37 - 13 = 0. Which is the nearest to -13? (a) 1\/5 (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -180 - -493. Is y a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9050693?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 2*y - 6. Let c be p(-4). Suppose -c*j + 33 = 25. Solve j*u + 17 = -3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 0*t**4 - t - 1\/10*t**5 + 0 + 0*t**2 - 1\/6*t**3. What is the second derivative of f(g) wrt g?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (82 - 151 - -121) + (-20 - -1).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 0.2. Let o = j - -0.2. Let c = -10 - -11. Is o at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74003907.\nAnswer: 3, 17, 1451057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 37*u - 4. Let m be b(21). Let f = m - 113. What are the prime factors of f?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76 - 31. Calculate the remainder when u is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**2 + x**2 + 0*x**2 + (17 - 5 + 14)*((-x - 3*x + 3*x)*(4 - 4 - x) + 10*x**2 + 6 - 6).\nAnswer: 290*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 4*x + x)*(-4 + 2 + 5)*(-9*x**4 + 10*x**4 + 88*x**4).\nAnswer: -267*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 + 2*u**3 + 0*u**3)*(-3 + 3 + 2*u)*(-u + u + 4*u).\nAnswer: 16*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -238a (base 12) in base 7?\nAnswer: -14434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, x: 5, n: 5, i: 3, b: 1}. Give prob of picking 3 x and 1 i.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p - 14. Let o be m(-6). Let i(x) = -10*x**3 - x. Let j be i(-1). Let h = j + o. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 3836\/224 - -1*3\/(-24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -361793 or 7?\nAnswer: -361793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 4 = -3*i, i + 596*a + 12 = 599*a for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 316124963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**2 - 1. Let m be o(1). Let c = -10 - -28. What is the least common multiple of c and m\/6*(-19 - -1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 7:54 PM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11, 0.3, 5, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 264779 and 39.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 218813105 to the power of 1\/3, to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-311)\/4746 - (-5543)\/77602\nAnswer: 2\/339","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 370*p**2 - 57*p + 445. Does 27 divide o(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 66, 57, -2, 1, -8?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.33319 - 0.33319. Let z = 235\/7 - 33. What is the smallest value in z, 0, j, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12, 5, -24, -87, -196, -363, -600, -919?\n\"Answer: -2*k**3 + k**2 + 4*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -20*f - 30748, 0 = -4*o - 2*f - 3*f + 30923. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 247.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 561493337 to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -2 - (-3 + -1 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-48)\/4)\/(-1 - 0). Let r be ((-4)\/(-6))\/(8\/c). Suppose -2*d + 2 = -2. Which is greater: r or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.8 - 15. Let k = u + 12.8. What is the closest to 1\/3 in 0.11, -2\/11, k?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 - -39. What is the closest to t in 0.4, -1, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 334048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) 0.13 (c) -3.7 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.04 (c) 2\/7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 299419516?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -500 - 90a1?\nAnswer: -95a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 6*j + 7. Suppose -6 = 2*c - c. Determine d(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79800 is divided by 9910.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 4*h**2 - 6*h + 14. Suppose 45 = 13*j - 46. Calculate the remainder when y(j) is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + (0 - -1) - -8. Solve -8 = -d*j + j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37605947 smaller than -37605947?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 2:19 AM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 54750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1303\/15 - -87. What is the smallest value in d, 3, -4.4?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11510*k + 1278*k - 3 - 8 - 5 + 16.\nAnswer: -10232*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fm when two letters picked without replacement from pcjffjpuumpj?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**(-9)*l))\/(l*l*l**(7\/3)*l*l*l))\/(l**(-13)\/(l**(-4)\/l)) assuming l is positive.\nAnswer: l**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 5*z + 5 = 0, 0*z = f + 2*z - 10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uluuuuuluuuuu?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 0)**2 + sqrt(243) - (sqrt(3) + 3 + 1 + sqrt(3) - sqrt(3)).\nAnswer: 8*sqrt(3) + 239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*g - 4468 = 0, -10 + 4 = -g. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-56)\/9*(-273)\/260. Let l(h) be the third derivative of 8\/3*h**4 - 16\/21*h**3 + z*h**6 - 28\/5*h**5 - h**2 - 49\/15*h**7 + 0*h + 0. Factor l(i).\nAnswer: -2*(7*i - 2)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5\/(-20) - (-362)\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i**2 - 4*i - 3. Let k be (-46)\/(-69) + 104\/6. Let m(p) = 12 - 11*p + k*p - 12*p - p**2. Let t be m(2). Give j(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3429 divided by 381\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72\/41 + 214\/205. Which is bigger: 3 or z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3363 + -3354.1. Let t = -1 - 7.4. Let m = i + t. Put 0.4, m, 5, -4 in ascending order.\nAnswer: -4, 0.4, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*j + 380. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31347*c**3 - 22*c**2 - 18*c + 18 wrt c.\nAnswer: -188082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j + j - 2*j + (4*j - 4*j - 2*j)*(-5 + 2 + 2) + 1 - 1 + j + 2 - j - 2 in the form m + u*j and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 17\/46183 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**5\/7 - 3279*c**4\/7 + 182559*c**3\/7 + 394563*c**2\/7 - 925812*c\/7 - 1134540\/7 = 0. Calculate c.\nAnswer: -1146, -3, -1, 2, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(216) - (sqrt(120)*2)\/sqrt(5))\/(1*sqrt(972)*2) + -3.\nAnswer: -3 + 2*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6257819 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 2662323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142 (base 7) to base 4.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -9885*o - o**4 - o**2 + 9884*o - o**3 + 3*o**2 as c*o + k*o**4 + d*o**2 + n + j*o**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 1146120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 220\/33*((-26)\/(-4) + 1). Solve 2*z + 8*z + g = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 104\/39*150\/4. Calculate the greatest common factor of l and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -138, -0.4, -2\/7, 5\/3, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 9:54 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 12*k - 11. Let r(t) = t + 1. Let m(h) = -2*o(h) - 22*r(h). Let y = -360 + 362. Let w(s) = 10*s**2 - 11*s. Calculate y*w(l) + 11*m(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 12 = 2*a. Suppose a*z = 2*z + 5. Suppose 3*j - j - 14 = -2*r, 4*j + z*r - 33 = 0. Solve j*s - 8 = -2*m, s + 2 = -3*m + 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + 20 - 0) + 7 + (-4 - 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021418132967 plus -0.4?\nAnswer: 1021418132966.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 3.1 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -342904, -684280, -1025656, -1367032?\n\"Answer: -341376*b - 1528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 2*q + 5. Let j be v(4). Let b(k) = -k**2 - 4*k - 1. Let f be b(j). Find the first derivative of -1 + 5 - 3 + h**f wrt h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -0*o + 80. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16757254 to the nearest integer?\nAnswer: 4094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and -0.4335156.\nAnswer: -5.2021872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -2.3. Let x = 0.3 + s. Let d = -7 - -12. Which is the second biggest value? (a) d (b) x (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -4*y + 57. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-8))\/(1\/(-4)). Let w = 2 + x. Let j = -1548\/11 - -141. Is j > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52734076.\nAnswer: 2, 13183519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2666312 is divided by 296256?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**5\/300 - l**4\/40 + l**3\/15 + 5*l**2\/2 - 2*l. Let j(u) be the first derivative of b(u). Find t, given that j(t) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 + 43. Let w = -6 - -4. Sort 1, -3, b, w in descending order.\nAnswer: b, 1, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -9*m**5\/5 - 167*m**3\/6 - 2*m**2 - 117*m. What is the first derivative of w(j) wrt j?\nAnswer: -216*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 4*z - 6, 3*m = 2*z - 5 - 9. Let p be 1 + 17\/(-14) + (-1)\/m. Which is the smallest value? (a) p (b) -4\/5 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 113.1 + -55.8. Let i = h + -388.3. Which is the second smallest value? (a) i (b) -1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yheexqxxxhyhxqyhy. Give prob of picking 3 h and 1 x.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(9\/8)*c)\/c**(-2\/3) assuming c is positive.\nAnswer: c**(115\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence upm when three letters picked without replacement from {u: 2, k: 3, m: 1, p: 4}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*w**4 + 3*w - 98*w**4 + 1 + 191*w**4 - 3*w**2 + 7*w**3 as z*w**4 + n*w**2 + a*w**3 + o*w + m and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (245*(-28)\/(-490))\/(-1)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2793*p**3 + 1398*p**3 + 1399*p**3 - 5*p**2 + 2*p**4)*(0 - p + 0).\nAnswer: -2*p**5 - 4*p**4 + 5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*m + m + 13, -m - 13 = 4*h. What is the nearest to 4 in h, -0.2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6\/5 of a minute?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2876827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a - 7. Let g be h(5). Suppose 28 = y + g*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 6.4. Let b = 11 - 16. Let h = 2 - 1. What is the biggest value in h, b, t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*a - 4*g, -4*g + 31 - 33 = 2*a. Suppose -50 = 2*v - 4*v. Which is smaller: v or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*q = 12*q + 12*q - 108 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 33*x**2 + 82*x - 308. Does 137 divide v(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3393*r + 3389*r = -832, -4*f = -2*r - 838. Calculate the remainder when 2095 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 18. Let q = 65 - 120. Let k = q + 51. Sort k, g, 3 in descending order.\nAnswer: 3, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1391.\nAnswer: 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3508196 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, 3, -2 in decreasing order.\nAnswer: 3, 0, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1436, 1420, 1404?\nAnswer: 1388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v - 10. Determine u(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.85 and -484.\nAnswer: -895.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3100157 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44205478 and 3434.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -509*x - 49*x - 647088 + 116736 = 3125*x for x.\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -361, -2, -3.\nAnswer: -361, -3, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -3616.155 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 320 = 110. Let q = 75 - p. Let f be 1 - (10\/4 + -2). Which is the biggest value? (a) f (b) -0.4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*q + 29*q - 40. Let g be (-32)\/12*(-7035)\/q. Let i = -279 - g. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56673114.\nAnswer: 2, 3, 239, 39521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2827790 a multiple of 398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*c = 262, -5*w = -0*w - 3*c - 663. What are the prime factors of w?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151 = -v + 105. Suppose 0 = -119*p - 9459 + 17075. What is the greatest common divisor of v and p?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 44158.\nAnswer: 309106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y**3 + 35*y**2 - 173*y - 6. Let r(d) = -3*d**3 + 20*d**2 - 84*d - 3. Calculate 4*b(f) - 7*r(f).\nAnswer: f**3 - 104*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 371824217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-366)\/(-54) - 2\/(-9). Let f(v) = 10*v - 4*v - y*v - 6. What is f(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 466342.\nAnswer: -4\/233171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/11814028 and 30\/445049.\nAnswer: 129954308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 184805271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*w - 4*w - 1665 + 1665 to the form l + s*w and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 264 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of 2*x**9\/63 - x**8\/112 - x**5\/60 + 90*x**3 + 1179*x**2. What is the third derivative of f(i) wrt i?\nAnswer: 1920*i**3 - 180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 995.2979ml?\nAnswer: 0.9952979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2995 a factor of 265489494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212787 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -306351*r**6 + 5*r**2 - 3379*r wrt r?\nAnswer: -36762120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12309588.\nAnswer: 2, 3, 109, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-869)\/(-1185))\/((-344)\/430).\nAnswer: -11\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42245233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-22) + 768\/88 + -9.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37332 + 4340 = -8*c. What is the remainder when c is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssxisxissjjxj. Give prob of picking 2 x.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(425) - (sqrt(425) + 0) - sqrt(425)) + 3 + sqrt(425) + 1)*-2 + 3*6*(sqrt(425) + 1) + 1)**2.\nAnswer: 1980*sqrt(17) + 137821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 8*k - 2. Let r(o) be the second derivative of 17*o**3\/6 - 3*o**2\/2 + 3*o - 14. Let c(v) = -13*m(v) + 6*r(v). What is c(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3106047070 + 1?\nAnswer: -3106047067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 11*c**2 + 4*c - 12*c**2 - 3 + 8. Let l be i(5). Find the second derivative of -13*o**5 + l - 13*o**5 - 17*o + 0 wrt o.\nAnswer: -520*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73488 less than -3.103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 78174708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 28533 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: Express -35*s**3 - 30*s**3 + 11*s**3 - s**2 + 51*s**3 - 11*s**4 + 4 as a*s + h*s**4 + m*s**3 + g*s**2 + r and give h.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2085.179182 to 1 decimal place.\nAnswer: 2085.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j**2. Let s(d) = -178115*d**2. Give w(s(x)).\nAnswer: -126899812900*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9959 less than 1.4?\nAnswer: 3.3959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 504?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3776.7094 to the nearest one hundred.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 9) in base 11?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.0829, 0.11, -47\/2?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3*z + 5 = -4*z, -4*z = 5*b + 3. Let n = 6 + b. Solve 5*w = 5*f + 10, -2*w + 2*f + n = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1101*y = -506*y + 25712 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*s + 81*s = -6. What are the prime factors of (1 - s - 10)*(30 - 43)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2 - 10*a + 5*a**2 - 1 + 6 + 2.\nAnswer: 5*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -1 (c) 0.4 (d) 12\/11 (e) 0.35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j**2 + 52 + 26 - 5*j**2 + 193.\nAnswer: j**2 + 271","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-8\/7))\/r)\/r**(8\/3))**(9\/8)\/((r**(-1\/5))**5\/((r\/(r*r**(-6)*r*r))\/((r\/(r*r**(-1\/4)\/r)*r)\/r))) assuming r is positive.\nAnswer: r**(-15\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 1224?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 142328*1.7\nAnswer: 241957.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 269 - (1 + -1 + -1). Let q(b) = 48*b + 51. Let d be q(-1). Suppose 3*x - 54 = -i, -5*i + a = -x + d*x. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3066859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/39)\/((-1410)\/(-674757)). Let k = i - 18\/611. Find the common denominator of -27\/7 and k.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 7*f - 5. Suppose -3*k + 15 = n - 5*n, -4*n = 0. What is r(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-200)\/(-1050))\/(2\/84)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/((-39)\/(-10))*(-6)\/16?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 2\/13 (c) -5\/2 (d) -7979137\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1751*f**3 - 2*f**2*n + 3123*f*n - 2477899*n wrt f?\nAnswer: -5253*f**2 - 4*f*n + 3123*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -14\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01691183164 rounded to four decimal places?\nAnswer: 0.0169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -7*k**2 + 11. Let u(p) = 2*p**2 - 3. Let t(q) = 6*l(q) + 22*u(q). Let n be t(1). What is the derivative of -2 - 6 + 2 + n*g wrt g?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.5, -9, -4.6, 2, -0.64?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4932 is divided by 95?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - ((-10 - 0) + 0)) + (0 - 8) - 41?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 324316006 to the power of 1\/2, to the nearest integer?\nAnswer: 18009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 8:29 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-16 - (-130)\/8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122322314.\nAnswer: 2, 61161157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/460 and -81\/92.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -2*j - 29 - 3, 0 = j + n + 20. Let g be j\/8*10\/(-6). Suppose -30 = -l - g*x + x, 0 = -2*l - 5*x + 48. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 16, 0 = 2*y + 4*q - 0*q - 40. List the prime factors of (12360\/(-9))\/(-5) - (-4)\/y.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 48\/7, 0.1, -176 in descending order.\nAnswer: 48\/7, 0.1, -4, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d - 16. Let s be a(9). Let k be 87\/s + (-3)\/6. Let w(m) = 23*m - 36*m + k*m. Let p(t) = -t. What is p(w(l))?\nAnswer: -30*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11818)\/(-4) + 2\/(-4). Let y be (7 + -6)\/(1\/1754). Let u = w - y. Round u to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 31*t**2 + 32*t + 3. Let b be a(-32). Solve b*r + 4*o + 25 = -o, -o = 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -143099800 rounded to the nearest 1000000?\nAnswer: -143000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 5*h - w + 3, 2*w + 26 = -4*h. Let r(n) = n**3 + 4*n**2 - 1. Let p be r(h). Which is the nearest to 3? (a) p (b) 0.2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.2 + -12.5. Let z = 2.7 - w. Sort 0.4, 4, -2\/19, z in ascending order.\nAnswer: -2\/19, 0.4, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + k = 5*p - 18, 3*k = -3*p + 6. Suppose -4 = -p*l + 80. Let d be 6\/l + (-150)\/(-14). Solve -3*z + 4 + d = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122819037.\nAnswer: 3, 11, 47, 79187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and -191.\nAnswer: -1528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4792 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by -367\nAnswer: -24\/367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - ((19 - 13 - 16) + 31 - 39)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 8. Suppose -208*y + 204*y - 3*j = -176, 0 = -5*y + 2*j + 220. Calculate the remainder when y is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 4*y - 256, -5*w + 7*w - 3*y = 260. Calculate the remainder when (1 + w\/28)*7 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -86 and -48 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30\/8 + 33\/(-44). Find j such that w*j**4 - 6*j**2 - 3*j**5 - 2*j + 0*j**5 + 3*j**4 + 5*j = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1179, -1169, -1159, -1149?\n\"Answer: 10*y - 1189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 625 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + (2 - -3) + 237 + -222.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(sqrt(6) + sqrt(24) - sqrt(6)))\/(sqrt(800) - (sqrt(800) - sqrt(800)*-2)).\nAnswer: -sqrt(3)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-95)\/40 - -2)*-2. Let p = 1.4 + -0.9. What is the closest to -10 in p, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 u, and 2 h when four letters picked without replacement from uhhhhuhhuhueue.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50 + -50. Which is smaller: r or -1.21?\nAnswer: -1.21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/(-15))\/((-32)\/160).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3132 divided by -783?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-4)*b**(-2\/13)*b)\/(b**1)**22)\/(b**(4\/9)\/b*((b\/(b**1\/b))\/b)\/b*b\/b**(1\/6)*b*b**1) assuming b is positive.\nAnswer: b**(-6185\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3707 and 20220?\nAnswer: 222420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*j = -341, 1039 - 1307 = 4*o - 2*j. Which is greater: -85 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.030413 rounded to 3 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3319 + -39791\/12. Let b(c) be the second derivative of 17\/2*c**2 - 35*c - 1\/6*c**3 - p*c**4 + 0. What is the first derivative of b(y) wrt y?\nAnswer: -74*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 4, -31.\nAnswer: -31, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 301381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 191, 381, 571?\n\"Answer: 190*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 9:52 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*u = 7*c - 1102, -u = 5*c - 1367. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(2\/5)*u)\/(u\/u**(2\/3)))\/((u*u**(-4))\/(u*u**(-3)\/u*u)))**(4\/15))**(-2\/105) assuming u is positive.\nAnswer: u**(-248\/23625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -34\/31 (b) -6 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252) + 3 + sqrt(252) + sqrt(252) + sqrt(49)\/sqrt(7)*-6 + sqrt(7).\nAnswer: 3 + 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3408, -6798, -10188, -13578?\nAnswer: -16968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*p + 35 + 195 = -154 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 + -0.3. Let r = -0.1 + x. Let q = 0.11 - 5.11. Put r, -0.5, q in increasing order.\nAnswer: q, -0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q + 7. Let k be n(9). Let p = 3 + k. Is (-2876)\/(-12) - p\/(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 451, -1\/12, 0.17, 1?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86426?\nAnswer: 2, 79, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnwnnwnwnnnn. Give prob of sequence nw.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - w. Let c(j) = j**3 - 4*j**2 + 4*j. Suppose 3*t + 4 = r - 0*t, -2*r - 5*t = 3. Give r*c(x) + 4*q(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45960327.\nAnswer: 3, 7, 37, 19717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -33572 bigger than -67141\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 2 = 4*s + 4*q, 0 = 2*s - 3*q + 1. Solve -2 = -t - 2*x, -t - s + 3 = -4*x for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -35 + 146. Let y(x) = -3*x - 3*x + 5*x + d. What are the prime factors of y(0)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8052015, -8052137, -8052341, -8052627, -8052995?\nAnswer: -8053445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -123165416 - -33?\nAnswer: -123165353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 4:11 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sssq when four letters picked without replacement from {s: 8, q: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*l = -158, 2*l = g + 17 - 52. Let f = g - 38. Factor -96*x**3 - 147*x**5 + 12*x**2 + f*x**2 - 3*x**2 + 67*x**4 + 164*x**4.\nAnswer: -3*x**2*(x - 1)*(7*x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 12*w + 3. Let z(q) = q**2 + 5*q + 6. Let o be z(-5). Let u(x) = 4*x + 1. Let t(a) = o*y(a) - 17*u(a). Calculate t(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1440*d**3 - 9 + 2859*d**3 + 16 + 183 - 1429*d**3 - d**2 in the form z*d**3 + y*d**2 + b*d + g and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d**2 - 7*d + 3. Let r be g(3). Suppose -r*m = m + 228. Sort 5, 3, m in decreasing order.\nAnswer: 5, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3 + sqrt(1216))*3)**2 + 4 + (-6*sqrt(190)\/(sqrt(40)\/sqrt(4)))**2.\nAnswer: 6912*sqrt(19) + 177088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1405, 1404, 1413, 1432, 1461?\n\"Answer: 5*j**2 - 16*j + 1416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 24\/(-5)*6\/((-30)\/25)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in months?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 7*z = 4*z - 3696, -2*z - 3696 = -4*a. Suppose 5*o - a = 371. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6439896?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -625*-753960.\nAnswer: 471225000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**3\/6 + 7*q**2\/2 + 2*q. Let v be f(-7). Suppose -2*w = 3*y - 6*w - 93, 3*y - 2*w - 87 = v. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -13*z**2 - 5*z - 5. Let p(o) = -2 + o + 4 - o**2 + o + 7*o**2. Let y(m) = 2*f(m) + 5*p(m). Let k(b) = -4*b**2. Give k(y(u)).\nAnswer: -64*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 294*x - 6359. Let t be v(22). Solve -t = -40*y - 309 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 4*t**3 + 1864*t**2 + 129284*t + 815024 = 0.\nAnswer: -383, -76, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -0.07, -2\/7, -1, -4\/5 in descending order.\nAnswer: 1\/3, -0.07, -2\/7, -4\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5571, -44, 1 in decreasing order.\nAnswer: 1, -44, -5571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/335 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x + x + 8 + 1 - 1. Let k be u(8). Which is the second smallest value? (a) 1 (b) k (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 8*w**2 - 8*w + 3. Suppose 5*x + 4 + 16 = 0. Let p be -7 - 1\/x*0. Calculate the remainder when i(p) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hxrrmxmfxlfxx. What is prob of picking 1 f, 1 h, 1 r, and 1 m?\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -497.9 - -497.8. Which is the third biggest value? (a) -0.2 (b) n (c) -4\/275\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 19 = 23. What is the units digit of (-4)\/i + (-888)\/(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 492.8 to the nearest 10.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r - 4. Let d be q(2). Let o(a) = 2*a**3 + 3*a**2 + a. Let n be o(d). Is -6 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-1125))\/(4\/20).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -254500 rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f + 3. Let a be l(-3). Let k = a + -3. Find the third derivative of -g**2 + g**3 - 3*g**k + 0*g**2 wrt g.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 14 = -6. Let d = m - -4. Solve d*x = -4 - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 26*o**2 + 26*o - 2. Let n be d(25). Let l(q) = -q + 59. Calculate the remainder when 64 is divided by l(n).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.98, -2.3, -0.1, 3 in descending order.\nAnswer: 3, -0.1, -0.4, -0.98, -2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/53 (b) -4 (c) 0.09 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 6 - 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 12 = -5*j + 3*g, 5*g + 20 = 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3129254045?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10897, -10679, -10465, -10255, -10049, -9847?\n\"Answer: -2*q**2 + 224*q - 11119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 29423.4 - -0.08\nAnswer: 29423.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1645 in 13253, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -2\/3 (b) 18 (c) -4 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 3*a**2 - 10*a + 1. Suppose -8*t - 54 = -94. What is p(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hyhhyh. Give prob of picking 2 h.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 8. Let m be (-1*3)\/(u\/(-15)). Solve -2*f + 3*f + m = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 4*o**2 + 2*o - 3. Suppose 36*h - 37*h = -5*k + 12, -3*k - 4*h = -21. Determine i(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-18))**16\/((o\/o**1)\/o*(o\/(o**9\/o))\/o*o) assuming o is positive.\nAnswer: o**(-280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60908?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ntv when three letters picked without replacement from vnnntnntnininntn.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.03, -0.2, 1, -1, -20, -3\/22?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**2 + j**2 + j**2)*(-j**2 + 8*j**2 - 3*j**2) - 8*j**4 + 18*j**4 - 8*j**4 + (1 + 0 + 1)*(5*j - 5*j + 2*j**2)*(2*j**2 - 2*j**2 + j**2).\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*d. Suppose d*p + 5*p = 130. Solve -5*l + 4*g - p = -4, 0 = -4*l + 4*g - 20 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -196\/1905 - -958\/1905. Let x = -21\/20 - -4\/5. Is v >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.9? (a) -6 (b) -3 (c) 3 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (252\/(-135))\/4*((-940)\/282)\/((-8)\/(-6))\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -678*a - 3*x - 54 = -682*a - 12*x, -3*a - 5*x = -37 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -32937 and 280.\nAnswer: -9222360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.040029 to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(14\/3))\/q)\/q**(-10\/7)*q\/q**3*q**(-10)\/q assuming q is positive.\nAnswer: q**(-145\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/195172091 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1020 + 1188. Is 24 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjjf when four letters picked without replacement from fpfrjpfffjrfp.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -664*h + 1. Let c be s(2). Let u = -827 - c. What is u rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r - 1. Let v(n) be the first derivative of -5*n**2 - 4*n - 13. Give -14*a(k) + 3*v(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -3, -4*i + b + 5 + 0 = 0. What is the least common multiple of 112 and 3 + 29*3*i\/3?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39344639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**3\/6 + p**2 - 42*p. Let i be q(1). Solve -5*a = 3*j - 2 - 2, 0 = -i*a - 3*j + 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -119. What is the greatest common factor of f and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4554 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(2448) + sqrt(425)*2)**2 + 5)*-5*5*-5 + -3.\nAnswer: 9122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/30*-22)\/(3\/9). Suppose 100 - 452 = -a*u. What is the remainder when u is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32495009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 409056, 409494, 409910, 410292, 410628, 410906?\nAnswer: 411114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 + 13 = -4*n - a, 3*n - 3*a + 66 = 0. Let u be ((-144)\/(-20))\/((-6)\/n). Suppose 0 = v - u - 26. Is 13 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15900888?\nAnswer: 2, 3, 662537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c - 2646 = -158*c. Solve 10 = 13*k - c*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 58 * -0.56.\nAnswer: -32.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 1, 0, 1123 in ascending order.\nAnswer: -1, 0, 1, 4, 1123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v**2 - 2*v + 2. Let q(l) = -l - 1. Let k(c) = -c**2 - 2*c - 4. Let i(j) = -k(j) + 3*q(j). What is 6*i(g) - 3*r(g)?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x - 6. Let p be z(6). Suppose r - 4*r = p. Suppose r = 4*a - 23 - 5. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*d**3 + 5*d**3 + 7*d**3 - 2*d**3 + 4*d**3 - d**3 + (d**2 - 4*d**2 + d**2)*(-2*d - d + 4*d) + 0*d**3 - d**3 - 6*d**3.\nAnswer: -25*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -3832746811.09 and 0.4.\nAnswer: -3832746810.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*z - 2*u + 24, -18 = z - 5*u. Let g = z - 6. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 8 = -4*g. Let f(k) = 5*k + 0*k**2 - 2*k**2 + k**g + 6. Let b be f(6). Are b and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-10)\/z)\/z*z*z**(-8)*z**(-9\/4)\/z*(z\/(z*z**(2\/9)))\/z)**(-19\/3))**(10\/3) assuming z is positive.\nAnswer: z**(80275\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -7935 = -7933?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 + 3620\/550 - 3\/(66\/4). Sort c, -0.5, -149, -1 in ascending order.\nAnswer: -149, -1, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 863155478?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -27*a + 32*a - 20 - 18 - 23 + 60. Give p(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1388305?\nAnswer: 5, 17, 16333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, v: 2, m: 2, d: 4}. What is prob of sequence dvd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5472)*-2)\/(2*sqrt(98) + sqrt(98) + sqrt(98)).\nAnswer: -6*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2\/5 - 15963*t\/5 + 854466\/5.\nAnswer: -3*(t - 53)*(t + 5374)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 > -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/12306 and 19\/8?\nAnswer: 49224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 4:50 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggg. What is prob of picking 4 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c + 1812 - 1851 = a, 0 = 2*c + 2*a for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 j when two letters picked without replacement from {j: 4, z: 2, n: 6}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-55) + (4 - 75\/(-11)). Let z(o) = -3*o**3 + 4*o - 3. Let n(h) = 16*h**3 - 21*h + 16. What is g*z(k) + 2*n(k)?\nAnswer: -k**3 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 7*w**2 + 2. Let z be 12\/4*4\/6. What is the remainder when s(z) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1678320 and 719280?\nAnswer: 5034960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.065 - -0.135. Which is the smallest value? (a) w (b) -4\/5 (c) 2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/7)\/((-4)\/14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 102842 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -23*m - 390. Let z be ((-34)\/(-6))\/((-44)\/132). Let t be c(z). Which is greater: t or 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3134\/(-10969))\/((-408)\/28 - 4)?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(5 - -1 - (-39 - (-1566)\/36)). Solve 0 + 4\/17*s + 6\/17*s**5 - 22\/17*s**2 - 26\/17*s**4 + 38\/17*s**y = 0 for s.\nAnswer: 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/44 and 3\/21 - 8\/128*-4?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*p = -40*p + 56 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20031, -38340, -56649, -74958?\nAnswer: -93267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 3, 10885, -5, -29 in ascending order.\nAnswer: -29, -5, 3, 8, 10885","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -b + 16, -5*a = 24*b - 19*b. Solve a*l + 20 = -0*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 428*m**2 - 1 - 13657841357*m + 13657841357*m.\nAnswer: 428*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-6) - 56\/6. Let t = 0.7 + -0.2. Put 4, l, t in descending order.\nAnswer: 4, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrbwhhbkho. What is prob of picking 2 r and 1 h?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-28)\/8 - ((-35)\/(-10) - 3). Let r(n) = -26*n**3 + 13*n**2 + 5*n + 25. What is the units digit of r(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 5064304?\nAnswer: 5064303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*((-2)\/(-30))\/(-1). Let q(p) = p**3 + 5*p**2 - 6*p - 3. Let t be q(-6). Let f = -215\/1651 + -3\/127. Which is the smallest value? (a) o (b) t (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 - 73*m**2 + 1232*m + 122304.\nAnswer: -(m - 39)*(m + 56)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*v - v + 2 - 14*v)*(-19 + 33 + 10).\nAnswer: -624*v + 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59981374 is divided by 3433?\nAnswer: 3431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-9.218.\nAnswer: 3.6872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 261889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 25\/(-1)*5\/(-25)*2. Suppose w - 30 = -2*w. List the prime factors of h + w\/(-2) + 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 163308147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and 31242.\nAnswer: -1874.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*t**3 - 6*t - 6*t + 19*t - 9*t**2 - 2 - 7*t + t + 2*t**4 in the form h*t + u + q*t**4 + k*t**2 + n*t**3 and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 190986 divided by -373\nAnswer: -190986\/373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3\/37)\/v**9 assuming v is positive.\nAnswer: v**(-336\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -64419, -63992, -63589, -63204, -62831, -62464, -62097?\n\"Answer: j**3 - 18*j**2 + 474*j - 64876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven quarters of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -58*x**4\/13 + 6*x**3\/13 + 928*x**2\/13 - 96*x\/13 = 0. What is x?\nAnswer: -4, 0, 3\/29, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36445718 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 309*m**3 + 7 + 116*m**3 + 0 - 8 - 107*m**3 to u*m**3 + h*m + z*m**2 + c and give u.\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/8))**(2\/47) assuming c is positive.\nAnswer: c**(3\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 230 and 5.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 210000 = 10*p. Round p to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a decade in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + 164. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2. Let i(b) = 12*b - 9*b - 5*b. Give h(i(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - v + 25. Determine i(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.34 - 0.74. Which is the third biggest value? (a) 0.3 (b) g (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280*y - 12 = -281*y. Suppose 33 + y = l. Let j = 47 + -17. What is the greatest common factor of j and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*-0.030257545\nAnswer: -0.211802815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-6)\/g*g**(-4))\/((g\/g**1*g*g)\/g*g**(2\/7)))\/((g**2\/g*g*g*g)**(-4))**(-4\/9) assuming g is positive.\nAnswer: g**(-1222\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4205.93ml in litres?\nAnswer: 4.20593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0334 + -1.0334. What is the nearest to g in 12, 0.01, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -7. Differentiate -14*c - 4 - 8 - h wrt c.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -142853, -142860, -142849, -142814, -142749?\nAnswer: -142648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 5*k**2 - 6*k + 1. Let s be b(6). Let y = s - -1. Find the third derivative of y*u**2 + 6*u**2 - u**4 - 7*u**4 wrt u.\nAnswer: -192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 668420*p + 2. Let l(f) = 18*f**2. Determine j(l(y)).\nAnswer: 12031560*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*l - 4262 - 454. Suppose -146 - l = -5*d. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w - 6. Let f be o(-10). Let n = f - 1. Suppose -3*m - m - n*s + 35 = 0, 3*m - 3*s - 42 = 0. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 798335 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10814825?\nAnswer: 5, 7, 29, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 (base 9) in base 16?\nAnswer: 5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b - 5932?\nAnswer: -5961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (6 + 1 - 7 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 978 is divided by 44?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 36 = 2*p, 8380*p + 8380*p = 2*y + 16756*p - 56 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1863897 litres in millilitres?\nAnswer: 186.3897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 458*o + 53 = 459*o + 11*r, -2*r + 11 = o + 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 62407 and -0.5.\nAnswer: -31203.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(468) - (sqrt(468) + -3*(sqrt(468) + 0 - sqrt(468)))) + (2*sqrt(468) - sqrt(468))*2)*3 + 1)**2.\nAnswer: 1152*sqrt(13) + 17104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2 - 2)*(1 - 1 - 1)*(2 + 1 - 2)*(-1 - 3 + 0)*(6*u - u + 0*u) in the form o + k*u and give k.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does -59 = -59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - i = -73, 18*n + 1167259*i - 1167256*i = -291 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 48?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**3 + 551750*t**2 + 1103515*t + 551760 = 0. Calculate t.\nAnswer: -1, 110352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 228 + 7*z**5 - 228 + (3*z**2 + 2*z**2 - 3*z**2)*(-2*z**3 + 4*z**3 + 4*z**3).\nAnswer: 19*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-12)*16\/18. Factor -2\/3*l**4 + 2\/9 - m*l**5 + 4\/9*l**2 + 2\/3*l - 4\/9*l**3.\nAnswer: -2*(l - 1)*(l + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 5:09 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 30519?\nAnswer: 61038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-12)\/10)\/(-1))\/((-350)\/61250*5810).\nAnswer: -3\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2702 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -462.95 - 34.05. Let p = -0.03372 + 499.36372. Let w = p + z. Round w to one decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -291 + 547. Suppose 3*k - l = -k. Suppose -4*v - 36 = 2*g - 6*g, 59 = 3*g + 5*v. Calculate the remainder when k is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1185 + -1156 - (-2 + 1 + -10)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -6*1\/(-4) - (-42)\/4 and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20894237491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, h: 4}. What is prob of picking 3 h?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 51*p**4\/2 - 101*p + 21. What is the derivative of d(j) wrt j?\nAnswer: 306*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20833 - 20833.0008608. Round h to 6 dps.\nAnswer: -0.000861","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/(v**(1\/4)*v)))**(2\/55)*v**5*v**(1\/5) assuming v is positive.\nAnswer: v**(573\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of c**4\/12 + 7*c**3\/6 + 4*c**2 + 18. Let k(b) be the second derivative of -b**3\/6 - 3*b**2\/2 - b. What is 4*g(v) + 9*k(v)?\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1293 + 1510. What is the highest common divisor of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 22*w - 57. Let g(d) = d**2 - 6*d - 27. Let c be g(10). Is 3 a factor of x(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/(-15) - (-13)\/(-5)) + 1. Let i(l) = -l**3 - 2*l**2 - 4*l - 3. Let f be i(y). Let w(q) = -q**3 + q**2 - q - 8. Calculate w(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r + 28*r**2 + 3*r + (-1 - 1 + 3)*(-3*r**2 + 6*r**2 + r**2) + (-7*r**2 + 2*r**2 + r**2)*(2 - 1 - 2) as o + p*r**2 + f*r and give p.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -350 - -685. Let c be (-2)\/8 - j\/20. Let b = c + 32. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + (sqrt(84) - 3*sqrt(84)))*1*5)\/(-3*(sqrt(972) - 2*sqrt(972) - sqrt(972))).\nAnswer: -5*sqrt(7)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1394\/31 or 46?\nAnswer: 1394\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1032?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence caa when three letters picked without replacement from cccaaa.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4087, 7952, 11817?\nAnswer: 15682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 109.01 times -0.1778?\nAnswer: -19.381978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6 - 10 = 0. What is the remainder when r + -1 + (48 - 18) is divided by ((-3)\/6)\/((-1)\/14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f + 7. Let a be k(5). Let d be (-17)\/(-3) - (-2)\/(-3). Suppose i - 28 = -0*o - o, -d*i = -5. Solve a = 5*q + o for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5391 - -7922. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8\/111, 2, -2\/3, 5, 1\/5?\nAnswer: -8\/111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12969712, -25939451, -38909190, -51878929, -64848668?\n\"Answer: -12969739*s + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25, -64, -79, -76, -61, -40, -19?\n\"Answer: -i**3 + 18*i**2 - 86*i + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*d**3 - 171*d**3 + 31*d**3 + 549*d**3.\nAnswer: 461*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22943689 to the power of 1\/3, to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-32)\/(-56))\/((-8)\/(-28)). Factor -20 + 62*f - 205*f + 56*f + p - 27*f**2.\nAnswer: -3*(f + 3)*(9*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -5*f + 1411*y - 1406*y, -4*f - y - 13 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1784660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 922*c - 7332. Determine l(8).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8956, 17916, 26878, 35842, 44808, 53776?\nAnswer: 62746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/2)\/((-290)\/(-20) - 15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 18*k**2 + 3*k + 4. Give p(-2).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 500 + 2233?\nAnswer: 3133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2*27\/36)\/((-6)\/16). Find the common denominator of -71\/72 and ((-49)\/189)\/(y\/(-8)).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 144\/(-16) + 56*(-1 - -3). Solve -8*i = -c + 71 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -331 + 627. Suppose -5*m = -a - 199. What are the prime factors of m\/6*(-20)\/(-15)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2469, -4973, -7473, -9969, -12461, -14949?\nAnswer: -17433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 3:51 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 8*d + 43. Let r be o(13). Let i = r - -70. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -345, 0, -17106, 1 in ascending order.\nAnswer: -17106, -345, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*c - 10*c - 12*c + 25 + 3*c wrt c?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -7, -16258964?\nAnswer: -16258964","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -82 + 238. What is the highest common divisor of x and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -8.9. Let w = -2 - -1.5. Let s = 2 + -3. Put s, w, a in ascending order.\nAnswer: s, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-78)\/(-4)))\/((-8)\/6)*117280\/(-29320).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 921 and 596226542?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*a**3 - 312*a**3 + 206*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7292088.6 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 468 - 200. Suppose -m - m = -b. Suppose 5*x - 126 - m = 0. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55000474913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -140, -220, -316, -434, -580, -760, -980?\nAnswer: -1246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10 - (1 + -9))\/(-1). Suppose -q + 555 = z*x, 3*q + 1 = -8. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**5\/l*l))\/((l**(-1\/5)\/l)\/l)*(l**(2\/15)*l)\/l**3*(l\/l**2*l**(1\/3))**(-42) assuming l is positive.\nAnswer: l**(73\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 112222?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 82101?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 524320468*i**3*k**2 - 14186*i**3*k + i**2*k - 28*i**2 - 2*i*k + 12*i wrt k.\nAnswer: 1048640936*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 5. Suppose 2*w + 14 = 4*y - 0, -3*w = i*y - 29. Suppose -w*v + 27 = c, 2*v - 21 + 3 = -2*c. Solve -3*p = -5*l + 29, -4*l = -p - 7*l + v for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -16. Let n = -3 - -6. Solve s = -n*m - 2*m + 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 divided by -1?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 2:49 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-5*(1 + sqrt(242)) - sqrt(242)) + -2 + -5)**2.\nAnswer: 2112*sqrt(2) + 8968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8507)\/(-94) + -80)*((-5760)\/(-1134) + (-2)\/9).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from urrrururrruuuuuuuuu?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/6 + -1*2\/6. Let c be 14\/(2\/2) - 1. Solve -c = -2*w - v for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.34 + -8.44. Let p = -8 - a. Is 0 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5845?\nAnswer: 5, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-51)\/(((-1122)\/44)\/(-51)*-1*6)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 7 + 4 - 21 + 21*h to u + s*h and give s.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3911.6*0.12\nAnswer: 469.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -192 - -173 - (-3 - (2 + 6))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 1 = -5*r - s, -5*s - 3 = -3*r. Let i(y) = -3*y + r - 3 + 2. Let k(l) be the second derivative of -l**3\/3 + l. Calculate k(i(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.35 + 0.65. What is the closest to -1\/2 in 0.1, -0.3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1040*h**2*v + 6*h + 26*v wrt h?\nAnswer: 2080*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuu. Give prob of picking 2 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 7 + 0 + -11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2*l + 39, 2*l + l + 6 = 0. Let d(p) = 40*p**2 - 9*p - 2. Let h be d(m). Suppose 0 = -4*v + h + 191. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0774 - -0.04. Let b = 0.03539 + x. Round b to 4 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 3*a + 9. Let s be h(4). Suppose -s*g + 14087 = -4*p, g - 2781 = -4*p + 22. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.13 - -0.17. Let n = 1\/9 - -1\/18. Put -2\/3, n, a in increasing order.\nAnswer: -2\/3, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2303*z - 2308*z - 5*a + 10, 8 = -4*a for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 64520181 divided by 7168909?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 16) to base 4\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 6\/(-4)*(-260)\/15?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 141 - 143. Is 56 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 868, 34, 2 in descending order.\nAnswer: 868, 34, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 974031933?\nAnswer: 3, 7, 53, 875141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2041 is divided by 364.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 59*n + 8. Let i = -765 + 766. Let y(z) = -1. Calculate i*v(h) + 6*y(h).\nAnswer: 59*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3948 divided by 4\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -0 - 12. Suppose 5*n + c = 39, 18 = y*n + 5*c - 23. Let k(w) = -n*w + 5*w + 3*w. Let j(o) = -2*o**2 - 59. What is j(k(m))?\nAnswer: -2*m**2 - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/6 (b) 0.184 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 8) to base 3\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5119786\/9 or -568864?\nAnswer: -568864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 9:06 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.930015 days to hours.\nAnswer: 94.32036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence olel when four letters picked without replacement from {o: 2, s: 1, a: 3, l: 5, e: 1}.\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -260362 divided by -3886.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -369884.2352 rounded to the nearest 100?\nAnswer: -369900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -1\/420*y**7 - 2*y**2 - 1\/80*y**6 + 0*y + 0*y**4 + 0*y**3 - 1\/60*y**5 + 0. Find n such that b(n) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 40, -x - 5*f - 70 = -5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (2\/1)\/((-13)\/(-13)) and 5\/(8\/56 + 66\/(-560))?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - 2103*4*(-3)\/1332.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 250280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + -3. Let c = s + 9.25. What is c rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 376 + -379. Which is the nearest to -4? (a) g (b) -1 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131000101302 (base 4) to base 5.\nAnswer: -3421301224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 88 = -0*w. Let x = w + -24. What are the prime factors of -4 - -4 - (-6 - x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*k**2 + 353*k - 39*k**2 - 351*k to o*k + d + c*k**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -409, -815, -1219, -1621?\n\"Answer: j**2 - 409*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -108, 4, 21 in descending order.\nAnswer: 21, 4, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = -4*u + 300. Let a = u + -49. Is 13 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/2)\/((44\/8)\/11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2210332 (base 4) to base 14.\nAnswer: 3bc2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*i + 238 = 8*i + 34 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10010*p**2*t**3 + 7*p**2*t**2 - p**2*t - t**5 + 3612*t**2 wrt t?\nAnswer: -60060*p**2 - 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6026.669 centuries to years.\nAnswer: 602666.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((1*sqrt(175))**2 - sqrt(175)) + -1 - (sqrt(175)*1 + -2))*-2*1.\nAnswer: -2112 + 120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, -21, -5, 30 in decreasing order.\nAnswer: 30, 0, -5, -9, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 434972.1 minutes to microseconds.\nAnswer: 26098326000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/1251 and -27\/11.\nAnswer: 13761","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 k, and 1 p when three letters picked without replacement from wpvwyykvykyvywpy?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 t when three letters picked without replacement from gggtgttgtgttt.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2095932, -4191858, -6287784, -8383710?\n\"Answer: -2095926*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 285196 and 1476.\nAnswer: 2566764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of k**5\/80 - k**3\/6 + 3*k. Solve w(m) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3363516743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 minus -1.21346?\nAnswer: -4.78654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -396\/1395095 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(7\/6)*z)**(6\/11)\/(z\/(z*z**(-2\/53)\/z)*(z*z**(-7))\/z) assuming z is positive.\nAnswer: z**(4165\/583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30713 is divided by 106.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = q + q, -2 = -4*q + 3*v. Let c(t) = -t**2 - 2 - 5*t + 8 - 15*t**2 + 12*t. Let x(m) = -33*m**2 + 15*m + 13. Let z(k) = -13*c(k) + 6*x(k). Give z(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1)**13)**(3\/23) assuming a is positive.\nAnswer: a**(39\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9f + 44e?\nAnswer: 3af","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4000429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o**2 + 689*o + 20893. Determine y(-45).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302859496?\nAnswer: 2, 4283, 8839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3212*p - 101050 - 2224 = 182594 for p.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j + 3. Let g be n(2). Let h = 2.93 + 0.07. Let t = -2.5 + h. Which is the biggest value? (a) -0.3 (b) t (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2495 != 4987\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 12:43 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/54 + (-4)\/18. Suppose w = j - 0*j - 4. Find the third derivative of 1683*z**4 - 1683*z**j + 28*z**5 - 6*z**2 wrt z.\nAnswer: 1680*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27947 bigger than 3\/181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/7)*x\/x**(-1\/3)*(x*x**1\/x*x)**35)**(2\/107) assuming x is positive.\nAnswer: x**(3008\/2247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1138453790 to the power of 1\/2, to the nearest integer?\nAnswer: 33741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-42))\/(15\/(-140))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8b96b (base 14) to base 12\nAnswer: -14448b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 15*h**2 + 9*h - 233. Give f(-13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/11, -30.6, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**8\/3360 + p**7\/1260 + p**4\/6 - 3*p. Let r(k) be the third derivative of a(k). Find the third derivative of r(l) wrt l.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*g = 290, -4*p + 214 = 3*g + 17. What is the remainder when p is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16*41\nAnswer: -656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 2 - 2*c**2 - 7\/9*c**3 + 1\/18*c**5 + 1\/54*c**4 + 1\/135*c**6 + 11*c. Let m(j) = 0. What is j?\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(2057) - (4 + sqrt(2057) + sqrt(2057) + 2)) + -2)*4)**2.\nAnswer: 2816*sqrt(17) + 33936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4526*a + 4529*a - 4*w + 19, 0 = 4*a - 4*w + 28 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 7. Suppose 3*u = 5 + 4. Suppose 0 = u*k - 7*k - 24. Calculate f(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -5 - (3 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t = 2*t + 4*s - 28, -3468*t = -3469*t - 4*s + 24 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -79.3 + 65.58. Let x = a + -0.28. Let b = x + 14.7. What is b rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17617805?\nAnswer: 5, 3523561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.90581 decades to centuries.\nAnswer: 1.890581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 11709?\nAnswer: 58545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 10*g**2 - 24*g**3 + 3*g**2 - 6 - 10*g + 23*g**3. Is 18 a factor of x(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 176 - -68. What is the remainder when m is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 28917, 57831, 86745?\n\"Answer: 28914*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -1, 2, 4 in decreasing order.\nAnswer: 30, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/(168\/(-8)))\/(-8 - 10).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44895915 by 6.\nAnswer: -14965305\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 15 = -6*n. Solve 0 = m + 2*l + 3, -3*m - n*l = -5*m - 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.52 and -0.11.\nAnswer: 0.0572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33068 or 363738\/11?\nAnswer: 363738\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 3*p - 6. Let a = 17 + -12. Suppose p = a*g - 2*g. Calculate the smallest common multiple of 2 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5800189?\nAnswer: 5800189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -403, -907, -1613, -2521, -3631, -4943?\nAnswer: -6457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t*t**2\/t)**(-2))**(8\/13) assuming t is positive.\nAnswer: t**(-64\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h + 2*q + 106 = 4*h, 0 = -1415*h + 1417*h + 2*q + 16 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126896 and 1408?\nAnswer: 1015168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/5 + 1014*b**2\/5 + 93169*b\/5 + 270354\/5.\nAnswer: -(b - 1099)*(b + 3)*(b + 82)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448) + (sqrt(2448) - (3 + sqrt(2448) + -1)).\nAnswer: -2 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1613 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9296 is divided by 1544.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -44, -95, -146, -197, -248?\n\"Answer: -51*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/8 of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*((sqrt(60)*3)\/sqrt(10))\/(sqrt(384)\/sqrt(8) - sqrt(3)).\nAnswer: -3 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-26)\/351)\/((-4)\/(-6)). Let l be ((-2)\/(-6) + (-4)\/3)*0. Let n be 1 + 3*-2 + 2 - l. Which is the nearest to n? (a) -5 (b) v (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8815307 is divided by 70.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence id when two letters picked without replacement from iibdubbiudbuiobbbi.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158672 is divided by 849.\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -183*k**2 - 52*k + 21. Let h(a) = 77*a**2 + 22*a - 9. Let i(o) = -19*h(o) - 8*z(o). Let r(x) = -x**2 + 3*x - 4. What is 6*i(p) + 4*r(p)?\nAnswer: 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 4*n)*(-6 + 2 - 2) + (-14 - 8 + 27 - n)*(-3 - 1 + 6) as x + u*n and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 minus 6512.738?\nAnswer: -6512.758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 295900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -2\/5 (b) -2\/35 (c) 0 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 51, 1\/7, -8, -4, 0 in decreasing order.\nAnswer: 51, 5, 1\/7, 0, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (((-24)\/(-15))\/8)\/(99\/22)\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5797 = -186*v - 155*v - 0 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 68*m + 6670 = -54*m for m.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 69268066 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13595, -29298, -45001, -60704, -76407, -92110?\n\"Answer: -15703*d + 2108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4 = -2*w - 0*k, 0 = -3*k - 3. Suppose 3*a + z + 21 = 0, -8*a - 35 = -3*a + 2*z. What is the tens digit of (7\/w)\/(a - 1918\/(-273))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 15960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gnnnnngg. What is prob of picking 1 n and 2 g?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 - 39*f**3 + 99*f**2 + 231*f - 294.\nAnswer: 3*(f - 7)**2*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4207, 10, -3, 11 in increasing order.\nAnswer: -4207, -3, 10, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 93750, 187458, 281166, 374874?\n\"Answer: 93708*n + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 2*p**2 - p - 6. Let k = 26 - 28. Calculate the least common multiple of 56 and m(k).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 32?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -5*x**8\/1512 + 4*x**7\/135 + 19*x**6\/180 - 26*x**5\/135 - 7*x**4\/27 + 164*x**2 + 5*x. Find u such that y(u) = 0.\nAnswer: -2, -2\/5, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.061 rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 5*o**4\/6 + 1090*o**3 - 30045*o**2 - 9810*o + 540675\/2 = 0.\nAnswer: -1335, -3, 3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.33 (b) -2\/9 (c) 0.4 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61*g**4 - 644*g**3 - 262147 with respect to g.\nAnswer: -244*g**3 - 1932*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - -23) + -10 - (-3 + 0 + 1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, u: 5, d: 2}. Give prob of picking 1 u and 1 o.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**2 + 5*c - 3. Let q(l) = l**2 - l + 1. Determine -i(k) - 4*q(k).\nAnswer: -2*k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*b - 24*b - 8 = 0. Let j be (-5 - b\/(-1))*10. Let w = j + 35. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 5, -9, -8.\nAnswer: -9, -8, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-2 + 1)*2 - -316) + 4 is divided by 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-133942)\/(-21) + (10 - (-3 + 9)). Let s = -6384 + x. Calculate the common denominator of (-642)\/(-32)*4\/18 and s.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - 1 - 0\/1. Suppose -3*s + 50 = 5*j, k*s + 6 = -4. Suppose -2*x - 25 = -7*x. Calculate the remainder when j is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -374 + 777. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/10)\/(282\/(-1645)))\/7.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -45.9 and -0.462.\nAnswer: 21.2058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 195852 + -92442191\/472. Calculate the common denominator of d and -77\/2.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 3*y + 113, 130*y - 932 = -3*w - 4950 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 289467 and 304416.\nAnswer: 1359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-38)\/3*2)\/(32\/(-48)). Suppose w*n + 2 = 39*n. Solve 0 = 3*y + 4*d - 28, -n*y + d = -d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5896 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 12. Is 11 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 3)*(-6 + 4 + 3*d + 3)*(1 + d - 1).\nAnswer: -3*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 9491*l - 360919. Calculate u(38).\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 0*m + 6*m + 1)*(m**3 + 3*m**3 - 3*m**3).\nAnswer: 2*m**4 + m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-78))\/(((-55)\/15)\/(-11))?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*t**2 - 29 + 64*t**3 + 29 wrt t.\nAnswer: 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*t - 56*t + t - 15015 = 86*t for t.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 + 1 + 151*g**2 - 20 in the form t*g**2 + k*g + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115325?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25696 and 264.\nAnswer: 77088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 4*k - 48, -72*k + 73*k = -6. Let w(l) be the third derivative of 0*l + 0 - p*l**2 + 1\/12*l**4 + 3\/2*l**3. Calculate w(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/6)\/(456\/(-113202)). Solve -y*q - 10 = -321*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5352, -10393, -15434, -20475, -25516, -30557?\n\"Answer: -5041*j - 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/13)*j\/(j\/j**7))\/(j**(-5\/3)*j**(-4\/5)) assuming j is positive.\nAnswer: j**(1831\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-81*i - 2 - 6 + 75*i)*(2*i + 1 - 1) to the form n + s*i**2 + l*i and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6173 - 6063. Solve 2*p + i = 100 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112769 - 115894 + 5*q**3 - 76*q**2 + 3375*q - 179*q**2 = 0. Calculate q.\nAnswer: 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 3. Let x be 4*2\/20 - 92058\/(-1005). What is the highest common factor of k and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3086\/5 or -0.2?\nAnswer: -3086\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 divided by 1?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**3 - m**2 + 3*m + 3. Calculate b(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125\/(-385) - 90\/(-495).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-17 - -7) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((z - z - 2*z**2)*(-z**2 + 3*z - 3*z) + 10*z**4 + z**4 + 9*z**4)*(-44*z + 12 - 12 - 2*z - 2*z + 5*z + (5*z - 3*z + 0*z)*(-4 + 2 + 1)).\nAnswer: -990*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -26141 and -360402.\nAnswer: -386543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/sqrt(324)*-1 - sqrt(432)*-3*6)**2.\nAnswer: 1677025\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 2548, -0.2.\nAnswer: -0.2, 38, 2548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2785 by -192.\nAnswer: 2785\/192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 8*i + 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*m - 19. Let x be ((-3)\/3)\/((-1)\/m). Solve 1 = -w - 4*g, g - 5 = -x for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*12*(-9)\/(-72).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 877309577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2 = l, -2*x + 0*l = 2*l + 8. Let z(h) = h**3 + 6*h**2 + 5*h + 1. What is the lowest common multiple of z(-5) and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 2\/551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h*h**2))*h*h**(6\/11)*h*h)\/(h**(2\/3))**(-41) assuming h is positive.\nAnswer: h**(1118\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4917\/(-137676)*16\/(-22)\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010100 - 100?\nAnswer: -10011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13033124 or -13033126?\nAnswer: -13033126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/2 - 18\/4. Let n be 10\/(-14) - 14\/49. Sort 3, n, s in increasing order.\nAnswer: s, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-11) + ((-6)\/4 - -2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 36? (a) 5 (b) 4 (c) 360\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 10) in base 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 143 - 140. Is 4275\/t + 8\/(-2) - -2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140494761 divided by 10617?\nAnswer: 13233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -h - 4*h + 81, 1 = h + 4*o. Suppose -63 = -h*l + 14*l. Suppose 0 = -18*s + l*s - 393. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20011011221122 (base 3) to base 7.\nAnswer: -36542255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5819802 is divided by 194?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-3\/11))**45 assuming b is positive.\nAnswer: b**(630\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (3 - -2 - 12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4 + 129*s**3 + 552*s**2 - 684*s.\nAnswer: 3*s*(s - 1)*(s + 6)*(s + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1133827.\nAnswer: 1133827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 6399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.136701 - 0.3?\nAnswer: 10.836701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-1) - 3) + 3. Suppose 0 = 3*k - 4*k + 1. Let r = f - k. Solve 5*j - 4*p + 17 = 0, 3 + 2 = j + r*p for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 24677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**2 + 3*l**3 - l**2 + (2 - 2 + 3*l**2)*(0*l + 0*l - 4*l).\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8 + 2.8. Let q be 62\/(-238) + (-6)\/(-42). What is the closest to 1\/2 in 13, i, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -6693480?\nAnswer: -6693475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 9649?\nAnswer: 19298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1781 + (3 - 0) + -2. Suppose 29*q - 27*q = s. Suppose -3*l + q = 2*l - d, 1 = -d. Calculate the remainder when l is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + n. Let s(p) = 5*p**3 + 2*p**2 - 4*p. What is -3*h(k) - s(k)?\nAnswer: -8*k**3 - 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 853*c**3 + 1073 wrt c.\nAnswer: 2559*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/64015189 and -29\/36580108.\nAnswer: 256060756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -1072 + 4474. Suppose -p = 4*q - 10*q. Is 21 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 3 - 3)*(s**2 + 0 + 0) + (2 + 3 - 4)*(-4*s + s + 0*s)*(-4024*s - 137*s**2 + 4024*s).\nAnswer: 412*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 61845.32 litres in millilitres?\nAnswer: 61845320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y - 30*y - 77 + 77 + (-1 + 6 - 3)*(4*y + y - y) as d + m*y and give m.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c. Let a be l(-2). Solve -a*k - 15 = -k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*b - a + 460 = 30*b, -77 = -b - 5*a. Calculate the least common multiple of b and 1170.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tot when three letters picked without replacement from {t: 15, o: 4}?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 14*v - 7*v - 9*v - 1. Let j(u) be the first derivative of u**2 + u - 1. Give 6*h(t) + 5*j(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/108 and -1\/36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*w - 30*w - 80 = 0. Suppose 2*m = 4*q - w - 32, 0 = -3*q - 4*m + 14. What is the lowest common multiple of q and (-3)\/((-6)\/20 - 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-8)*4\/(-3). Suppose 3*o - 5*o + p = 0. Factor 9\/4*w**3 + 4*w + 21\/4*w**2 + o.\nAnswer: (w + 1)*(3*w + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -32. Suppose 0 = -3*c + 2*o + 13 + 3, 5*c = -5*o + r. Let d(n) = -3 - 5*n**2 + c*n**2 + 18*n - 24*n. What is d(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14495.\nAnswer: 5, 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*t)*(-1 + 6 + 0) + 3 + 2*t - 3 + (0*t - 2*t + 3*t)*(7 - 3 - 2).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 31, 72, 129?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/4 - 6895*s**2\/2 - 69025*s - 345250.\nAnswer: (s - 13810)*(s + 10)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 18 = 4*h, -h = 3*d - d - 9. Suppose -4*i + 4*j = d*j - 28, -i - 2*j + 16 = 0. Solve 2*m - 4 + i = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 15) to base 5\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38365 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 6*z - 26. What is the units digit of (-1365)\/14*((-9)\/z - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -106 + 526\/5. Which is the closest to 0.6? (a) v (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5*u + 24. What is d(13)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 63.45 and 0.08.\nAnswer: 5.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(72)\/sqrt(4) - (1 + sqrt(2) + -1 + sqrt(2)))*-4.\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 8:30 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z - 7. Let b be q(7). Solve 5*y - 1 - 4 = b for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 172.21794 minutes?\nAnswer: 2.870299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*a - 5 + 11 = 6. Solve 12 - 10 = 4*v + 5*z, a = -3*v - 5*z + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2946.\nAnswer: 2, 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = r - 15, 4*r - 32 = -j - 4*j. Suppose 0 = -6*b + r*b. Solve -p - 2 = -b*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*j + 90 - 34. Let c = 346 - 343. Solve c*u + 4*g = 17, u = -j*u - g for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*w - 81722 + 465224 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/15 (b) -4\/3 (c) 0.6 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1274.9 + 2\nAnswer: -1272.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a - 3. Let x(q) be the first derivative of -q**2\/2 - q - 1230. Give 4*c(n) - 11*x(n).\nAnswer: -5*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 7*q - 39. Suppose -5*m + 5*k + 13 = -127, m = 3*k + 36. Calculate the remainder when m is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 204146, 409049, 613952, 818855?\n\"Answer: 204903*x - 757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 2 - 2*i**2 + 1\/3*i**3 + 4*i. Suppose a(u) = 0. What is u?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.4, 0.2, -0.2, -5, -2.685 in ascending order.\nAnswer: -5, -3.4, -2.685, -0.2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 48546841021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is eight sevenths of a week in days?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -528 + 540. Let b(v) = -2*v - 6. Let g be b(-7). What is the highest common factor of g and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4785083 divided by 68.\nAnswer: 4785083\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 8*l - 12. Let r be s(-12). Suppose 11*b - 30 = r. Is 19 a factor of ((-2)\/b*-80)\/((-1)\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4133*p - 4144*p - 165 = 0 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*1*sqrt(45)*-5)**2 - (2*sqrt(1125)*-2)**2) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -263 - -513. Suppose 0 = z + 16 - j. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21353 and 524.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 2*p**2 - p + 1. Let u(o) = 280*o**3 - 8*o**2 - 7*o + 5. Give -5*l(y) + u(y).\nAnswer: 275*y**3 + 2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - f = -9. Let r = 89122 + -89122.2. What is the nearest to -1 in r, 0.9, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 + 1 + 0 + 1 + 3*u**2 - 63*u**2.\nAnswer: -59*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 5:09 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 + -664?\nAnswer: -700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 9:41 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*5*6 - sqrt(91))\/(1*sqrt(343))*-2.\nAnswer: -58*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*i = -119, 2*i = -5*d - 0*i - 124. Let z = 30 + d. Find the second derivative of -5*m**4 + 5*m**z + 33*m**5 + 7*m - 28*m wrt m.\nAnswer: 660*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 57720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*o**3 + 935*o**2 + 1250*o + 280.\nAnswer: -5*(o - 28)*(o + 1)*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one quarter of a second?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 19*s**2 - 18*s - 21. Let h be x(-18). Which is bigger: h or -24?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.059 * 19579.059.\nAnswer: -1155.164481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*p - 178, 5*m = 2*p - 146 - 77. Let i = -131\/3 - m. Factor 0*n**3 - 2\/3*n**5 + 0 + 2\/3*n - 4\/3*n**2 + i*n**4.\nAnswer: -2*n*(n - 1)**3*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.2, -0.3, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 284458441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*j = -40, 6 + 25 = -5*n - j. Let y = 4 + n. Let d(s) = 4*s**2 + 7*s + 13. Let c(i) = i**2 + 2*i + 3. Let g(m) = -9*c(m) + 2*d(m). Determine g(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4195338 minus -1.5?\nAnswer: 4195339.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2*z - 2*j, -5*j + 52 = 169*z - 151*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 632317, 632315, 632313, 632311, 632309?\nAnswer: 632307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168 and 1361220336?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4*-1047.4\nAnswer: -4189.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/(-22) - (13 + (-748)\/66)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17393 + -17342 - (-298)\/(-6)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (32*w - 32*w + 5*w**2)*(-1 + 2 - 2)*(-39*w + 39*w - 18*w**2) in the form c*w**2 + s*w**4 + t*w + g + k*w**3 and give s.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259*u - 5445 = 512. What is the least common multiple of 6 and u?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -147 - -733\/5. What is the closest to -4 in 5, 3\/5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 10:31 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -19. Suppose i = -p + 2*q + 3, -4*p + 5*q + 12 = 0. Suppose p*r = -3*m + 96, 163 = 5*m + 3*r + r. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15*(9\/30)\/((-18)\/(-24)). Suppose -3*l + 5*u + 449 = d*u, 0 = -5*l + 3*u + 725. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43.6 + 48. Let g = w - 4. Which is the closest to 1? (a) g (b) -3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**3\/3 + 9*i**2\/2 - 25*i. What is q(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28467 and 14895.\nAnswer: 47112885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19149449 to the power of 1\/3, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*t*t**(2\/41))\/t)*t**(2\/25))\/(t**7)**(-6))**26 assuming t is positive.\nAnswer: t**(1120132\/1025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -430040683 divided by -1.\nAnswer: 430040683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14676704?\nAnswer: 2, 7, 65521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 2024044 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 16) to base 13\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + 2*s + 32. Suppose 4*l + t = -53, t + s = l - 3*t. Let k = l - -14. Solve f = -x + 6*f - k, 3*f + 6 = 3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 7 = 2*s, 4*s + 0*s = -4*p + 44. Suppose 3*z - 2*w - 15 = -5*w, -2*z - w = -s. Calculate the greatest common divisor of z and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 87 - 81. Solve d = -2*h - 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 777986.\nAnswer: 2, 11, 35363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 + 12*10330\/(-20655))*-6. Is x equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215 + 698 = 85*h + 233 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4967377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -78880*l**4 + 42778*l**2 wrt l.\nAnswer: -1893120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66494 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*u + 12, 4*k - 3*u - 14 = -k. Suppose k*l - 2 = 3*l. What is the remainder when l is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11934 + -11993 + (5 - 0 - -1).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 3:08 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -26837+296.6\nAnswer: -26540.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 5\/6, -68?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -35. Solve -4*f + x = -0*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from daadaaadadaadaaa. Give prob of sequence aa.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/((-6)\/45))\/((-104)\/104).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**3\/2 + 32290*y**2 - 521322050*y = 0 for y.\nAnswer: 0, 32290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 478\/1274837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**5\/60 + 23*w**2. Let s(l) be the second derivative of 0*l**3 + 0 + 0*l**2 + 1\/4*l**4 + 6*l. What is v(s(y))?\nAnswer: 9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -102 + 88. Let c = 18 + r. Is c a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 - (84 - (22 - -30)).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 807, 2379, 4721, 7851, 11787?\n\"Answer: 3*x**3 + 367*x**2 + 450*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 0*j + 0*j + (2*j - 2*j + 2*j)*(5 - 12 + 17) to the form g + i*j and give i.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -44 + -1043?\nAnswer: -1107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -10. Let r(n) = -n**2 + 9*n + 11. Let v(a) = 1. Let p(k) = r(k) - 5*v(k). Does 2 divide p(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -448 - 1\/7*x**2 + 16*x.\nAnswer: -(x - 56)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/9? (a) 2 (b) -0.06 (c) -3 (d) -2 (e) -281 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 15\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhgelcs. Give prob of sequence cs.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 3 = -5*n - 0*l, n + l + 5 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4172.\nAnswer: 2, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 248*s**2 - 452*s.\nAnswer: 496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-2))\/(((-66)\/(-77))\/2)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (3*sqrt(1862))\/(sqrt(162)*3))*6 + 5.\nAnswer: -25 + 14*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001087 rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 10*s**2 + 8*s + 20. Let k be g(10). Let f be k\/6 + 17\/51. What is the second derivative of 13 - 13 - f*x**3 + 6*x wrt x?\nAnswer: -102*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, d: 2, h: 1, b: 1}. What is prob of sequence sd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-2)*178\/(-89)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004443562 to five dps.\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*2*sqrt(77))\/(1*sqrt(175)).\nAnswer: -3 + 4*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4424c + -4?\nAnswer: -44251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006011 rounded to 7 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7 times -10454.2115\nAnswer: -73179.4805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 16 = -s. Let b be -5*((-6)\/(-15) - s). Solve 0 = 5*m - 4*p + 5, 0 = 2*m - p + b + 2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -811 = 155*x - 5616 for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 650*b - 3969 = 83*b. Solve -34 = b*u + 1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52700?\nAnswer: 2, 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = i + 3. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**3 + 2*y**3 - 2*y**3 + (6*y**2 - 4*y**2 + 7*y**2)*(3 - 3*y - 3).\nAnswer: -26*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -4. Let q(d) = d + 10. Let g be q(z). Solve 4*h + g = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -869*m - 35*m - 86314 = -66*m for m.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16777?\nAnswer: 19, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m + 1. Let x(g) = -16*g + 5. Suppose w - l + 16 = 0, -4*l + 6*l = -3*w - 23. What is w*c(u) + 2*x(u)?\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 3*b = -0*b + 3*m - 10, 52*m = -47*b + 48*m + 1155 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 23*k**2 - 25*k + 34. Let b be r(24). What is the greatest common divisor of b and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 86, -10, 1 in ascending order.\nAnswer: -10, 1, 2, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2378 is divided by 83.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 24999.\nAnswer: 4\/24999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 7 + 4 - 93*m + 14.\nAnswer: -93*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 3*r**2 + 5*r. Let j = -99 - -103. Let n be c(j). Suppose -n*u = -3*u - 5*u. Solve -2*x - m - 5 = u, 2*m = -x + 3*x - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -3\/7 (c) 0.2 (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4)\/(212\/848).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 52 = -14*c + 7*c + 8*p, -5*p = 5*c - 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-46)\/92*1*7*2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t\/t**13)\/t))**48\/(t**(4\/9))**(-22) assuming t is positive.\nAnswer: t**(6136\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*x + 5*y - 31, -x + y = -30. Let r be 11\/4 + 5\/160*8. Solve -5*z - x = 3*w - 9, -5*w + 25 = -r*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 19.68. Let z = h - -0.02. Let t = z - -0.3. Which is the nearest to t? (a) 0 (b) -3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109 divided by -4.\nAnswer: 109\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-34)\/(-51)*9342\/36 is divided by 36.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 783*r = 1529*r - 795*r + 392 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 + -1497.\nAnswer: -1429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11 and 9765.1.\nAnswer: -107416.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1173800671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -3\/5, -4\/9, 6, -2, -0.065?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -73 + 80.85. What is p rounded to 1 dp?\nAnswer: 7.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -2*m + 3, 3*k - 5 = 4*m - 14 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-621)\/(-126))\/23*-4?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 101489 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*i**2 + 1412*i - 111*i**2 - 1412*i + 17*i**2 + 9*i**2 + 7*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = -2*x. Solve x = 5*y - 0*y + 5*n + 30, 3*n - 17 = 4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 1096?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 548244 and 29673?\nAnswer: 11513124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 148192 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7338.11kg to micrograms.\nAnswer: 7338110000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccacccaacccccccc. Give prob of sequence aca.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 129*p**3 - 3*p + 4. Let g(k) = 386*k**3 - 8*k + 11. What is -11*c(l) + 4*g(l)?\nAnswer: 125*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3414\/5 + -684. Put -1, o, 3\/7 in decreasing order.\nAnswer: 3\/7, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-350)\/(-40) + 1*-4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*d**2 + d**2 + d**2 + (6*d - d - 3*d)*(3*d + 4*d - 5*d) + (3*d + 0*d - 2*d)*(-135*d - 2*d - 62*d) in the form b + c*d**2 + i*d and give c.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*z = -31, 2 + 30 = -y - 5*z. Let j be ((-70)\/(-49))\/((-2)\/y). Solve 4*a + 11 = -j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b9a02 (base 15) to base 12.\nAnswer: 550725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 16. Suppose 3*l - x*l = 0. Suppose p - 5*d + 0 = -21, -2*p + 5*d = 17. Sort l, -5, p.\nAnswer: -5, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a - 16*a + 0*a in the form l*a + q and give l.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 147, 802, 2471, 5628, 10747, 18302, 28767, 42616?\n\"Answer: 79*z**3 + 33*z**2 + 3*z + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 960 - 80 = 4*l. What are the prime factors of l?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-3)*(-35038)\/2296. Let d = q + -1\/287. Calculate the common denominator of d and -43\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16821 and 110153520?\nAnswer: 2403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23010837779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.06 - -0.14. Suppose -12*o - 20 = 16. Let w = 3 + -1. What is the closest to o in -5, p, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 956218877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -3*j**5\/5 - 5*j**4\/4 + 7*j**3\/2 + 3*j**2 - 58*j - 2. What is x in f(x) = 0?\nAnswer: -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5565, 5617, 5771, 6081, 6601, 7385?\nAnswer: 8487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -2\/25*z**5 - 1 + 0*z**4 - 1\/15*z**6 + 0*z**3 + 0*z + 0*z**2. Solve t(f) = 0 for f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3314812 - -1210296. Let n = -914504 - u. Suppose 4*v - 12 = 0, -a + v = -3*v + n. Round a to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a - 55 + 20 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 138768 and 330848?\nAnswer: 58560096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 80 - 2 = -4*u, 3*b - 5*u = 81. What is the highest common divisor of 2662 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 12:13 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140) + (sqrt(140) + -4*(sqrt(140) + sqrt(140)*-1) - sqrt(140)) + sqrt(140))\/(sqrt(1134)\/sqrt(2)) + -5.\nAnswer: -5 + 4*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 296507666 to the power of 1\/2, to the nearest integer?\nAnswer: 17219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of y**4\/12 + 2*y**3\/3 - y**2 - 3*y. Let b be o(-6). Let p be (-2)\/10 - (-22)\/b. Solve -p*r - 7 = 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 + (-4 - -2)*1. Let h(l) = l**3 + 2*l**2 - l + 3. Let s be 6\/21 - 23\/7. Let v be h(s). Sort 1, v, r in descending order.\nAnswer: r, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118696817?\nAnswer: 118696817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4295*t - 4348*t + 13007*t - 7 - 4365*t.\nAnswer: -t - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205*h - 209*h - 770193272 = 0. Let v = -130948318 - h. Round v to the nearest 1000000.\nAnswer: 62000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 341.5601nm?\nAnswer: 0.0003415601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6472 + 15914. Does 19 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 10*t - 11*t + 11, 5*t = 5*y + 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2ac8 (base 14) to base 3.\nAnswer: -101110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*j - 12, -4*b = 4*j - 24. Suppose 3*u + b*u = 3*z + 4199988, 4*z + 1679984 = 2*u. Round u to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100\/(-225))\/((-4)\/(-3)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + 1 + sqrt(720)*-2 + -1)**2.\nAnswer: -5778 - 288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i**3 - i**2 + 3*i + 2. Suppose 5*l - 24 = 21. Suppose 0 = -3*a - 3*f - l, 0 = 3*a + 4*f + 10 - 0. Give s(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/(-10) - (-36 + 27))*(5600\/546)\/20.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -663671 (base 8) to base 9\nAnswer: -370106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 5*m, -2*m = 3*m. Suppose -5*n + j - 287 = s, -n - 218 = 3*n + 5*j. Let w = 22 - n. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/420 - 1864\/168.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -194 - -198. Solve -l*j + 5*x = -2*j + 22, -12 = -3*x for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - p + 18 = -2*m, 0 = -m - 4*p - 5. Is (6\/(-8))\/(m\/(-1036)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2156443 is divided by 51.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sst when three letters picked without replacement from {s: 17, t: 3}?\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1863 - -481250?\nAnswer: 483223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 0*i**2 - 9 + 0*i - 1\/12*i**5 + 0*i**4 - 11\/3*i**3. Let l(y) be the third derivative of v(y). Let p(f) = f. What is l(p(k))?\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - 4 + 4)*(-2*u - 5 + 5) - 4*u**3 + 0*u**3 - 4 + 2.\nAnswer: -8*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -368*l**3 + 202*l**3 - 203*l**3 - 188*l**3.\nAnswer: -557*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -29 + 2 + 9 - -9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 9*a - 13. Let w be s(10). Let c(h) = -7*h**3 - 4*h**2 - 2*h + 2. Is c(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-44)\/6*5\/(-5). Let k = s + -73\/12. Which is the second biggest value? (a) -3 (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourteeen ninths of a week?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 550*l - 13 = 548*l + 5*q, -3*l = -5*q - 12. What is the smallest value in 0, -500, l, 0.4, 4?\nAnswer: -500","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -12*l - 2. Let t(j) = -j**3 - 10*j**2 + 9*j - 24. Let b be t(-11). What is z(b)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19245.00000015615 + -19245. What is y rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*q**2*v**2 + 51*q**2 - 30*v**2 - 6*v wrt v?\nAnswer: 28*q**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24.2 + 21. Let i = 3 + a. Let t = 8 - 6. Does i = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -70*v**3 + 2 + 7*v**2 + 9 + 10*v + 71*v**3 + 13. Let r be s(-6). What is the remainder when 42 is divided by (-1)\/(3\/(-21) + r) - -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 921774.9nm in kilometers?\nAnswer: 0.0000009217749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of p**6\/40 - 17*p**5\/20 + 31*p**4\/8 - 15*p**3\/2 + 507*p**2. Find f such that t(f) = 0.\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 2 (c) 123 (d) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-16) - 1\/(-8). Suppose 4*u - 6*z + z = k, 1 = -3*u + 4*z. Solve u*j = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181\/61193 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 352\/3 + (-2)\/(-3). Suppose -c = -5*w + 57. What are the prime factors of w?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 1.7097?\nAnswer: 3.4194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -10. Let r = -79 + 344. Let p be 6 + r\/(-20) - -4. What is the smallest value in 2\/9, n, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k**2 + 8*k + 65 - k - 95 + k**3. Let b be j(-9). Round b to the nearest ten.\nAnswer: -1150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 751*x**6\/30 - x**4\/3 + 15*x**3\/2 + 1618*x. Find the third derivative of s(m) wrt m.\nAnswer: 18024*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 4)*(-4 - 1 + 2)*(-r**3 + 0*r**3 + 2*r**3).\nAnswer: -15*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 1988, 1\/2, 5\/1133?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*16\/28 - (151580\/(-77) - 20). What is the greatest common factor of r and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -535198 = -31*v + 282777 + 334233. Is v a multiple of 202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06261167 * -5.\nAnswer: 0.31305835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-378) + (-3308)\/35616)*15\/(225\/120)\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 v when three letters picked without replacement from {v: 14, d: 5}.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 + -27. Suppose -5*i + 66 = -o. What is the smallest common multiple of i and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m**2 - 4*m + 7520000. Let c(v) = -v**2 + v - 1880000. Let d(f) = 9*c(f) + 2*x(f). Let a be d(0). What is a rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2183707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15797685?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 56. Let s = d + 68. Suppose -26*a = -s*a + 393. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 196245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.830248511 rounded to one decimal place?\nAnswer: 10.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 39\/5, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g - 4*g + 297. Suppose -298 = 25*c - g*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from qxlqqqcqlqvclllqlqql?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 8283.2186 to 0 decimal places.\nAnswer: 8283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, k: 1, f: 6, j: 6, s: 5}. Give prob of sequence skd.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -3*a + 472, -3*n - 129 = -3*a - 462. What is the least common multiple of n and 644?\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 357 = 17*h - 20*h, -2*h - 5*u + 264 = 0. What is the highest common divisor of h and 333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 1\/5 (c) -3\/5 (d) -1516913\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/3*n**2 + 4\/3*n + 0 = 0 for n.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.5 + -38.5. Let j = k - -36.88. Let x = 0.12 + j. Which is the third smallest value? (a) -1\/3 (b) x (c) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9376, -9398, -9438, -9502, -9596, -9726?\nAnswer: -9898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5975500 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 + 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 378390304577 minus 2?\nAnswer: 378390304575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (8 - (7 + -3)) + -9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + -31. Solve 18 = f*v + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 divided by 36.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01122 in 3, -0.7, 1\/9, 0.5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m - 5. Let o(k) = -4*k + 9. Suppose -4*d - 127 = 217. Let z = d - -56. Let l be ((-132)\/z)\/((-2)\/(-5)). Determine l*s(v) + 6*o(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2*m = -5*y + 28, -5*m = -5. Calculate the greatest common divisor of 138 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3753129678.\nAnswer: 2, 3, 17, 36795389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 20*c**2 - 17*c + 11. Let l be s(21). Suppose 80 = 5*z - 4*y - 69, 3*z - y - l = 0. Let h = z + 77. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1164348 and 6597972?\nAnswer: 19793916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*r - 1805*r + 1574 = 278*r - 19016 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95033015?\nAnswer: 5, 7, 11, 246839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.03 or -705\/352?\nAnswer: -705\/352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 296207\/22 or 13464?\nAnswer: 296207\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 38.6678053.\nAnswer: 36.6678053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 22*o**2 + 17*o + 1. Suppose -48*k - 30 = -50*k. Is v(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 i when two letters picked without replacement from {m: 7, i: 3, x: 2, y: 1, a: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5 + 4*k - 2*k - 2*k - k. Let i be f(3). Suppose i*p - 11 = p. What is the remainder when 32 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4 + 531*m**3 + 71252*m**2 + 194304*m - 1951488.\nAnswer: (m - 4)*(m + 7)*(m + 264)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -253 (b) 2 (c) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.56 + 0.58. What is u rounded to 1 decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 21\/(-18))\/(3\/(-18)). Solve -j = -m*t + 3*t + 5, 0 = 3*t - j - 7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95817?\nAnswer: 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*k + 349984 - 347806 = 0 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**6\/120 + j**5\/6 + j**4\/12 - j**3 + j**2. Let m be y(10). Solve 0 = -3*g - 5*p - 11, 4*p - 4 + m = -2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 2*j + 12 = 0, o + o = 4*j + 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56\/(-32))\/((-10)\/48*196\/(-490)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 519376 and 19008?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1923411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 331*p**8\/112 - 123*p**5\/20 + 952*p**2. Find the third derivative of r(w) wrt w.\nAnswer: 59580*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 284246036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -37164?\nAnswer: 222984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -10749 greater than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*s**3 - 64*s**3 + 18*s**3 + 0*s**3 - 3*s**3 + 4*s**3 + (-2*s**2 - 2*s**2 + 5*s**2)*(-3*s + 4*s - 3*s) + s**3 + s**3 + 0*s**3 - 2 + s**3 + 2.\nAnswer: -57*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 283661 less than 283662?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + s = -3, -5*t + 2*t - 2*s = -4. Suppose 0 = -5*f + 4*m + 1560, t*f = 6*f - 2*m - 1242. Let g = f + -129. What are the prime factors of g?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.84945 to 3 decimal places.\nAnswer: 0.849","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 616855 (base 9) to base 16\nAnswer: 59567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 5*d + 64588, 3*x - 89*d + 94*d - 48446 = 0. Is x a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -69 + 346\/5. Is w greater than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 494, 1207, 2148, 3323, 4738, 6399?\n\"Answer: j**3 + 108*j**2 + 382*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1180 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 85, -1 in increasing order.\nAnswer: -1, 10, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 5*o = -3*b + 7, 5*o - 15 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 6. Suppose 4*w + 7 = -29. Let v = w + 6. Let u be d(v). What is the highest common divisor of u and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 724 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 10:40 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-12 + (8 - 16 - -8) - (-45 + 1))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-40)\/10)\/(-12))\/(3\/(288\/44))?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from lppppppplp.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 8*d**2 - 8*d + 8. Let a be w(-9). Let u be ((-168)\/(-36))\/(a\/3). Let l = 15 + u. Solve -2*m = -3 + l for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ue when two letters picked without replacement from eeeu?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 + 31.9. Is h at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1641*g - 47535 = 1636*g - 5*v, 28518 = 3*g + 2*v. Does 96 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 138 + -271. Let x = -89 - p. Does 17 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**3 + 20*u**2 - u + 4. Let h be d(10). Let i(z) = z**3 + 6*z**2 - 8. Determine i(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 820 = -372*p - 5861 - 239 + 596 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10776\/14)\/6 + (-4)\/14. Let a = o + -126. Let q(y) = y**2 - y + 0 + 1 - 2*y. Give q(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -358 = -2*q + 28*y - 33*y, 0 = 4*y - 8. Calculate the smallest common multiple of 29 and q.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.59891751 rounded to four dps?\nAnswer: 0.5989","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 5) to base 7.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s + 6. Let k be h(2). Suppose -3*c - 43 = -k*a, a - 2*c - 10 = 10. Calculate the remainder when 75 is divided by a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.2, -3, -30, -29, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 535 and 3170410.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58*h*k**5*x + 2*h*k**4*x + 2*h*k*x + 28*h*k + 2*x wrt k?\nAnswer: -1160*h*k**3*x + 24*h*k**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 35\/35397?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j + 130860 = 158*j. What is the remainder when 2920 is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1141.531 + -1142. Round u to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9666, 9652, 9584, 9426, 9142, 8696, 8052, 7174?\n\"Answer: -6*y**3 + 9*y**2 + y + 9662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 88*q - 5*q**2 - 88*q + 0 + q**2 + 0 - 2*q**2 + q**2 + 3*q**2 + (7*q - 2*q - 3*q)*(q - 3*q + 4*q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = f + 12, 0*f = 2*f - 4*k - 4. Put 6, 1, f in descending order.\nAnswer: 6, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2362 is divided by 383?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 at least -17\/647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 26*d + 62. Let j(n) = 53*n + 124. Let z(k) = -6*j(k) + 11*v(k). Find the first derivative of z(l) wrt l.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101.405*-2.31\nAnswer: 234.24555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yuqm when four letters picked without replacement from uyuuuyqquucumumucmuy.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1461338 to the power of 1\/2, to the nearest integer?\nAnswer: 1209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1127854 is divided by 86758?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1623493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 59*p - 497*p = -5328. Let d be (-1)\/((-1)\/(-2)*-2). Let w be (4 + (1 - 2))*d. Solve p = 3*x - w for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 10:39 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 2*w**2 - 6*w - 6. Let s(v) be the third derivative of -v**6\/120 + v**5\/30 + 5*v**4\/24 + 5*v**3\/6 + 4*v**2. What is 5*q(j) + 6*s(j)?\nAnswer: -j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 1.9, -90, 312, -5?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 360\/15200*15 - 4\/38. Let o = 2.3 - 0.3. Let k = 64\/3 - 21. What is the nearest to g in -0.2, o, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2524966 (b) -2\/5 (c) 3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-18 + 19)\/(1\/11) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-423303)\/(-21) - 6\/(-168)*-8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 12:18 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1719451, -1719453, -1719455, -1719457, -1719459, -1719461?\n\"Answer: -2*x - 1719449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*y - 26 = -6*y, 5*w = 4*y + 14. Let c(k) = k - 13. Calculate c(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 4*h - 148, -4*h = 2*r - 5*r - 262. Let v = r - -84. What is the lowest common multiple of (-24)\/(-10)*20\/6 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 - -105. Let f = d + -143. Let z = 13 - f. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014825 rounded to five dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -2 - (13 + -14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 23, 87, 207, 401, 687?\nAnswer: 1083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 245*m**2 + 2*m. Let w(g) = 2*g. Give b(w(f)).\nAnswer: 980*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -28 - x**3 + 9 - 426*x + 413*x - 4*x**2 - 8*x**2. Give k(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-4))**27)**35)**(-10) assuming p is positive.\nAnswer: p**37800","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = 5*o - 113. Solve 14 = 4*q - o*z, -1 = -4*q + 3*q + 2*z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 + -37. Let s(r) = r**t + 2*r + 2 - 3*r - 3*r + r. Let x(w) = -w + 1. Calculate -s(v) + 2*x(v).\nAnswer: -v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-10) + (-32080)\/25. Let j = -484973\/378 - f. Let l = j + 14347\/6426. What is the common denominator of l and -9\/4?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 247.3346 + 0.0654. Is 0.1 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -625*c**3 + 170.\nAnswer: -1875*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 1)\/(4\/(-16)*2). Sort 5, -4, 10, o in ascending order.\nAnswer: -4, o, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -46596552 at most as big as -465965511\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8117 - -2?\nAnswer: 8119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/14 or 2.18?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 599*c - 601*c + 43012. Is c a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 15*n + 100. Let z be u(-29). Let j = -304 - z. Solve 0*h - 4*r - 28 = j*h, -r - 17 = 3*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43092288 divided by 9?\nAnswer: -4788032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t - 3*t = 5*x, -26*t + 5*x = -22*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1636 and 1431909.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 72 = 3*h, -96 = 3*h + 2*a + 2*a. Let i be (6\/(-4))\/(21\/h). Factor -1\/2*g**i - 1\/2 - g.\nAnswer: -(g + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**6\/80 - 27*v**5\/40 + 81*v**4\/8 + 2*v + 1. Let h(q) = 0. What is q?\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/((-2)\/(28266640\/(-4))). Suppose -u - u = y. Let z be -3 + -3 + 1 + u. What is z rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.64 + 1.27. Let q = 1.7 - o. Let m = q + 0.20999999. What is m rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**2 + 2*m**2 + 4*m**2 + (122 - 88 - 188)*(-2*m**2 + 5 + 4*m**2 - 2).\nAnswer: -305*m**2 - 462","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, g: 4}. What is prob of sequence qgq?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/(-198))\/((-1)\/9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-141*20\/660)\/(5\/(-55))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 4. Let w be l(-4). Let h(j) = -355*j + 356*j + 303 + 3*j**2 - 4*j**2. Is h(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*h**3 - 15*h**3 + 7*h**3)*(24 + 25 - 61*h - 46) to a*h**2 + o + l*h**3 + n*h**4 + j*h and give n.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 669866057.\nAnswer: 7, 95695151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 - 303\/7. Let z(o) = o**3 + o**2 - o - 8. Let b be z(0). Let m be 0 + b\/6 + 2. What is the closest to m in -5, -0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -529281, -529283, -529297, -529329, -529385, -529471, -529593?\n\"Answer: -h**3 + 5*h - 529285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13896 divided by 2.\nAnswer: -6948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (69\/45*-3 - -2) + 110\/(-550).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 2*b**2 - 3*b + 2. Let v be z(3). Let c be ((v + -3)*-1)\/(-1). What are the prime factors of (12\/(-14))\/(c\/7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**2*g**(-2)*g**4*g**(2\/17) assuming g is positive.\nAnswer: g**(70\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, l: 2, o: 3, h: 2, m: 2, k: 2}. Give prob of picking 1 l, 1 g, 1 m, and 1 h.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 161.999998056 + -162. What is p rounded to seven decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83837681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -15 - (-1 - -7)) + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**3 + 5*a**2 + 8*a - 8. Calculate x(4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 280\/25*(-7050)\/1880.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.967405ml to litres.\nAnswer: 0.009967405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + t - 1. Let w(p) = p**3 + 5*p**2 - 10*p + 5. Determine -5*i(h) - w(h).\nAnswer: -h**3 + 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 1 + 1 - 4*p + 3*p. Let s be y(0). Suppose -3*m = s - 11. Solve -5*n + m*v - 13 = 0, 5*v - 13 = 5*n + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4896124283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 539 (c) 1\/3 (d) 423.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 338 + 148 = -369*k - 621. Put 7, k, -10, -4, -2 in decreasing order.\nAnswer: 7, -2, k, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**2\/4 - 81*r\/2 = 0.\nAnswer: -54, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, -5, -657, 43, -2, -17 in ascending order.\nAnswer: -657, -43, -17, -5, -2, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64056?\nAnswer: 2, 3, 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -21660*f**5 - 1471284*f**4 - 26674023*f**3 - 56936340*f**2 - 18600300*f = 0. Calculate f.\nAnswer: -1245\/38, -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 + (105 - 30) - (-27 + 1).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + 2*u - 2*u**3 - 10*u**3.\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/306 and 77\/1173?\nAnswer: 7038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -9343.\nAnswer: 3\/9343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**4 + 30*c**3 - 100*c**2 - 30*c + 99 = 0.\nAnswer: -33, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-23 - -25)\/((-1)\/(-2)). Put -3, l, -42 in ascending order.\nAnswer: -42, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/4 + 24*o - 721\/4.\nAnswer: (o - 7)*(o + 103)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f + 15. Let d(x) = 4*x + 16. Let n(t) = -3*d(t) + 2*r(t). Let y be n(-10). Let c be 6\/21 - (-73)\/(-280). What is the biggest value in -0.1, c, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -1c?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1068 and 8459806?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(448) + -1)*6 + ((sqrt(448) + -4*(sqrt(448) - (1 + sqrt(448))))**2 - (sqrt(448) + 5 + sqrt(448)*-2)).\nAnswer: -168*sqrt(7) + 489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2662 = 26*k - 582. Which is smaller: k or -81?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 0*v**3 + 0*v**5 + 0*v**2 - 98 + 1\/12*v**6 + 0*v - 1\/8*v**4. Determine j so that a(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 6, 3*t - 6*m + 7*m - 7183 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0296 and -1242.9.\nAnswer: 36.78984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28633617*x**3 - 1163248*x**2?\nAnswer: 171801702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 181.9 to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 745373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z\/(z*z*z**(-1\/7)))\/z)*z)\/(z\/z**0*z))**(-4\/7)\/((z**0)**(-37)*(z*z*(z\/(z**0\/z))\/z*z)**(-2\/9)) assuming z is positive.\nAnswer: z**(-76\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + g - 20 = 0. Let v = g + -24. What is the units digit of ((584\/10)\/(-1))\/(v\/10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/22076129 or 1?\nAnswer: -1\/22076129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4647*o. Let i(b) = b. What is i(f(m))?\nAnswer: 4647*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-912)\/120 + 6\/10. Is w at most -42\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 63, 95, 121, 135, 131?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6641 is divided by 59?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 380 = 388. Suppose -t*p + 2213 + 1299 = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l**2 - 10*l + 5. Let j(o) = -11*o**2 - 21*o + 11. Let h(u) = 6*j(u) - 13*t(u). Let v = 0 - -6. Calculate h(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 419*o - 11 = 414*o, 2*j + 3*o + 5 = 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79007 - 79018.0997. Let q = k + 0.0747. Let c = q + 0.025. What is the third biggest value in -0.3, c, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108290 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/13))**(-41)\/(m*(((m**(2\/55)*m)\/m)\/m)\/m*m\/(m\/m**(-5)*m)) assuming m is positive.\nAnswer: m**(9489\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 2*b + 0*b)*(-28 + 112 + 23)*(5 + 0 - 1)*(-5 + 5 - 1).\nAnswer: -1284*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 43*k - 39*k. Sort k, -5, 2 in descending order.\nAnswer: 2, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 430007*q*x**2 + 4*q*x - 11993*q - 3*x wrt x?\nAnswer: 860014*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + b. Let y(k) = k**2 + 152*k - 3250. Let u be y(19). Let s(q) = -q. Let j = 0 - 1. What is j*v(m) + u*s(m)?\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 - (38 - (39 - 0))?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**4*c*c*c*c\/(c*c**(-3\/4)\/c))**(1\/4) assuming c is positive.\nAnswer: c**(35\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 690 and 34266642.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**3 - 120*q - 2*q**2 + 0*q**3 + 113*q as x*q + p*q**2 + t + y*q**3 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 5, 10, -2\/3.\nAnswer: -2\/3, 0.3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 24*o**2 + 7*o + 6. Calculate a(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 752*z + 231*z + 246*z - 15 + 47 + 255*z.\nAnswer: -20*z + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-11) + -4 + (-11568)\/(-176) - 14.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ae0671 - 3?\nAnswer: ae066e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -117744*d**2 - 16*d - 2005?\nAnswer: -235488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2211 and 5.\nAnswer: -11055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(200)\/sqrt(4)*-3)\/(sqrt(10) + (-2*sqrt(10) + sqrt(10))*-3) + -3 + (sqrt(245) - (sqrt(245) + 1 + 1 - sqrt(245))) + 0)**2.\nAnswer: -75*sqrt(5) + 3701\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/6)\/(2\/4). Let n = -0.03835 - -0.53835. What is the biggest value in -26, k, n, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 116*y**3 + 2778*y**2 - 142*y + 36. Determine l(-24).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 328 and 4223?\nAnswer: 33784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00525 rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 3*g**2 - 7*g + 1. What is the units digit of c(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3515 (base 6) to base 8\nAnswer: 1507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 13*u + 12. Let m(a) = -a**2 + 9*a - 6. Let o be m(6). Let h be r(o). Suppose -6\/7*x**3 + 0*x + 0 + 3\/7*x**4 + h*x**2 = 0. What is x?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14505, -14504, -14503?\n\"Answer: v - 14506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of m**3\/3 - 118*m. Let t(k) = 48*k**2 - 1. Determine j(t(w)).\nAnswer: 96*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.15 - -1.15. Let v = u + -0.955. What is v rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51.3 + -34.9. Let n = t + -16.3. Which is smaller: 3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -9, -2, -115, -10 in ascending order.\nAnswer: -115, -10, -9, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21011022221122 + -20?\nAnswer: -21011022221212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**4 + h**4 - 5*h**4 + (h**3 + 5*h - 5*h)*(0*h - h + 2*h) + h**4 + 2 - 2)*(9 + 38 - 3)*(3*h - h - h).\nAnswer: 132*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -400906.864 rounded to the nearest 100?\nAnswer: -400900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -l - 9, -c = -l - 0*c - 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a**2 + 7*a + 87. Let z be s(0). Which is smaller: z or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 735, 718, 667, 564, 391?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(11\/3)\/(r\/(r\/(r\/(r*r**0)*r))))\/(r**2)**(4\/9))**19 assuming r is positive.\nAnswer: r**(304\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (2 + -1 + -3). Suppose p*z = 4*r + z - 924, 5*r = -5*z + 1185. Suppose -5*o - 58 = -r. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, v: 7, f: 7, m: 1}. What is prob of picking 1 e and 3 v?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 8*w + 116 = 5*t, 2*t - 44 = -4*w. Solve -t*b = -25*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**(14\/5)*y)\/(y\/(y*y\/(y**20*y*y))*y))**(1\/17))**42)**(8\/7) assuming y is positive.\nAnswer: y**(-4128\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1642.66 - -1645.66. Let y be 66\/16 + -2 - 2. Which is the closest to 0.1? (a) p (b) 1.3 (c) y (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 7:05 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 990 and 37070?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - 12\/(2 - 5). Let r(s) = s**2 + 3*s - 5. Calculate the remainder when r(4) is divided by 4 + k\/4 + 6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, i: 2, c: 2, k: 3, u: 12}. What is prob of picking 1 n and 2 u?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.78 - -2.11. Let m = f + 0.07. Let k = -0.6 - m. What is the nearest to k in -4, -5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 256, 273, 306, 361, 444, 561, 718?\n\"Answer: t**3 + 2*t**2 + 4*t + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*3\/(-12)*1. Suppose -d + t = -6. Suppose -55 = -d*z + 2*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l + 25. Determine j(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -86*h**2 + 48*h - 86. Let c(w) = 29*w**2 - 15*w + 29. Let r(z) = 16*c(z) + 5*v(z). What is the derivative of r(d) wrt d?\nAnswer: 68*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-288 + 284 - 2\/(-2))\/((-39)\/(-611))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**3 + 4*w**2 + 6*w + 7. Let k(q) = -q**3. Let x(g) = -d(g) - k(g). Let t = -11 + 6. Does 16 divide x(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(-4) - -19*20\/(-190). Which is the closest to -17? (a) 5 (b) -14\/11 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + 1*sqrt(209)*3 - sqrt(209) - -1*sqrt(209)*-4)\/((((sqrt(121) - sqrt(121)*-1) + sqrt(121))*3 - sqrt(121))\/(2*sqrt(176))).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * 0.481.\nAnswer: 3.367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 + 2902*a**3 - 1 + 4555*a**3.\nAnswer: 7457*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -48 - -3204?\nAnswer: 3145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -78 - -82. Let c = 55 + b. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**8\/168 - v**5\/20 + v**2\/2 - 1. Let c(k) be the second derivative of w(k). Find the third derivative of c(m) wrt m.\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 172, 435, 874, 1489?\nAnswer: 2280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*q**3 - 2*q**3 - 7*q**3 + (-q - 4*q + 6*q)*(-6*q**2 + 3*q**2 + q**2).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (1\/7 + (-18)\/(-21)). Let y = 2 + p. Calculate the lowest common multiple of y and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 22*n**2. Let j(i) = -115*i + 2. Calculate s(j(c)).\nAnswer: 290950*c**2 - 10120*c + 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 12:44 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*y - 16. Let v be 6\/y + 117\/36. Suppose 0 = v*i - 7*i + 9, 5*m + 4*i - 417 = 0. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q - 4. Suppose -3*i = -12, -4*i - 2 + 9 = 3*n. Let u be o(n). Solve u*b = 5*x - x, -2*b = 3*x for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58494 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((1 - 9) + 168 + -108)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -18*d - 18. Let t be s(-4). Let x = -51 + t. Let p(o) = o - 2. Calculate p(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**8\/1680 - y**5\/60 + y**4\/4 + 2*y**2. Let k(r) be the second derivative of j(r). Differentiate k(p) wrt p.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**5\/20 + a**4\/4 + a**3\/3 - 3*a**2 - 13*a. What is q(4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16979219 - -16979360.99983. Let r = n + -142. What is r rounded to 5 dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5933 + -1382. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tlllv. What is prob of sequence vl?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25579566 to the nearest integer?\nAnswer: 5058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x + 18 = -14*x. Let s be 26\/4 - x\/(-12)*1. Suppose 0 = -14*r + 17*r - 12. Solve 3*c + h - 15 = 0, -r*c - 2*h = -5*h - s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 828939168 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 28 - 2. Let a be (y\/(-4))\/(1 + -7). What is the closest to a in 0.3, 5, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-265)\/(-55) - (-15)\/(-3). What is the second smallest value in 0, 2, 12, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + f + 2)*(5*f - 2*f - 2*f) - 4*f**2 + 4*f**2 + 5*f**2 - 964*f + 964*f - 72*f**2 to the form o + c*f**2 + v*f and give c.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 26 = -4*a + 3*a, 0 = 3*a - 5*z - 78. Let y be (a\/(-6) - 0)\/(26\/(-312)). Calculate the greatest common factor of y and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 0*d = -3*d - 3, 273*d - 279*d = 12 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1915995 (base 13) to base 15.\nAnswer: ac2740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -15. Suppose -2*y - 2*j = -z, 3*y + j - 13 = 3*j. Suppose -y*w = 4 - 14. Solve 4*k = 4*b + 12, -2*k - 3*b + 26 = w*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 8. Let h(c) = -6*c - 65. Let n(q) = h(q) + 2*x(q). Give n(-19).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**4\/2 + o**3\/3 - o**2 + o + 13. Determine y(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32279 + -32282. Let g = -2 - -1. Which is the closest to g? (a) r (b) 0.2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 54. Let x = h - 12. Does 15 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7818.\nAnswer: 2, 3, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of 0*o**3 + 0*o**5 - 25*o**2 + 0*o + 0 - 2\/21*o**7 + 0*o**6 + 7\/12*o**4. What is the second derivative of x(p) wrt p?\nAnswer: -240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -437\/3020 in decreasing order.\nAnswer: 4, 2, -437\/3020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - 0) + 1018 + -994 + 21.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -5 (b) 2 (c) 0.2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 3\/7 (b) 0.2 (c) 25 (d) 1 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 462 = h, h = 3*a - 586 + 130. Let i = 1615 + h. Suppose 3*k + i = 13*k. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + r + 4*r)*(-4 + 2 + 3) - 33 + 33 + 7*r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 12, 20, 1 in ascending order.\nAnswer: 1, 2, 4, 12, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (119 + -84 + (26 - 1))\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 21*z. Let j(t) = -136*t. Give 5*j(r) + 32*s(r).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 188166 (base 10) to base 9.\nAnswer: 316103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3*k*(k*k**(-1\/4)\/k)\/k)**(-1)*(k**(1\/11)\/(k\/k**(-2\/13)*k))\/(k**(-2\/11)\/(k\/((k*k*k**3)\/k)*k)) assuming k is positive.\nAnswer: k**(-3793\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3552?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bssrerrdbbmr. Give prob of picking 1 m, 1 r, 1 b, and 1 e.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -36 and -0.5.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/14 - (-314)\/70) + -4.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1319000 rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 39\/2*(-4)\/3. Let f = 6 - m. Is f bigger than 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/4 + 794*l + 53493.\nAnswer: -(l - 3242)*(l + 66)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 2*x + 1. Let b be j(3). Let r be 8\/(-4 - b) + (-201672)\/(-2). Is 1\/5 - r\/(-40) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 7525720.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-6 + (-3 - -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -11*u**2 + 6*u + 11. Let m be 550\/77 - 3\/21. Let p(x) = -5*x**2 + 3*x + 5. What is m*p(t) - 3*i(t)?\nAnswer: -2*t**2 + 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4673920 is divided by 691.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/13? (a) 27 (b) -4\/3 (c) -936\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -30?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 30. Let q(y) = -y**3 + 2*y + 1. Let l be q(-2). Find the second derivative of -s*z**3 + 8*z**3 + 25*z**4 + 2*z**3 + l*z wrt z.\nAnswer: 300*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2))**(1\/77)*(h**(-1)\/h)**(-30\/13) assuming h is positive.\nAnswer: h**(4594\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 252078 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - -32. Let a be -16 + (0 + 3 - 2). Let v be (a + 1)\/(c - 3). Solve 5*i = -3*f - 7, 2*f + v = 3*i + f for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b + 54. Let p be l(-13). Solve -3*u + p = 2*x, -3 = -4*u - x + 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 - -35. Suppose -30 = -w + 13. Let z = w + u. List the prime factors of z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -4\/307, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 64 - 7*y + 68 + 6*y - 56. Calculate the remainder when b(17) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 213*z - 193. List the prime factors of n(7).\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2 - 4. Suppose k*q + 21 = -q. Let y = 26 + q. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13701*b - 3422*b + 17*b**3 - 3422*b - 3430*b - 3427*b.\nAnswer: 17*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 14*v - 137. Let g be t(-32). Let d = g - -728. Calculate the remainder when 179 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9118 divided by 17.\nAnswer: 9118\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*f**3 - 3*f**3 - 6*f**3 + 11*f**3.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 2:25 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q*q**(-24)*q\/q**(-1\/6) assuming q is positive.\nAnswer: q**(-125\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/3 (b) -51\/907 (c) -0.96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - 3. Let q = f + 6.4. What is the nearest to -0.1 in 1\/6, 0.3, q?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1115.915535 seconds in weeks?\nAnswer: 0.0018450984375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 48236086 and 18.\nAnswer: 48236104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 595460483 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 393381899 to the nearest integer?\nAnswer: 19834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/3 + 196*q**2\/3 + 252*q - 768.\nAnswer: (q - 2)*(q + 6)*(q + 192)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6609 - -0.13.\nAnswer: -6608.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 1:49 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b + 7. Let j be y(-3). Let v = 1 + 0. Suppose l + 12 = -2*l. Sort v, l, j in decreasing order.\nAnswer: j, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (468\/60 - 9)\/((-50)\/(-2))*30\/18.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/1400 and 121\/560.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -1. Let c(i) = -1. Let d(j) = 4*c(j) - 3*z(j). Let s = 12 + -7. Let w(r) be the first derivative of r**2 + 6*r + 45. What is s*d(u) + w(u)?\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f + 1. Let o(t) = t**3 + 8*t**2 - t - 6. Let l be o(-8). Let n be a(l). Suppose 5 - n = -3*c. Sort c, -4, 4 in increasing order.\nAnswer: -4, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**2 + 273 - 109401*t + 109401*t to f*t**2 + u*t + o and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, l: 18}. Give prob of picking 2 l.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94 + -72. Let y be j\/((-3)\/2 + 75\/42). Let q = -78 + y. Is q greater than or equal to 3\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.20085 - -0.2. Round l to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l**2 + 10*l - 5. Determine b(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 944 and 4?\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/2)\/(-2 - -3). Solve x*i = -i - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 535 + -719. What is the third biggest value in x, 8\/3, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -l**3\/3 - l**2 + 3*l - 4. Let w(q) = 0. What is q?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s. Let a be j(-4). Suppose 0 = -u - d + 43, -2*d - 201 = -a*u - u. Calculate the remainder when u is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 8 = 0, 5998*s + 20 = 5999*s + 4*l + 4 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5078 + -362. Suppose -18*j + 108 = -b. List the prime factors of j.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeteteoeaoa. Give prob of picking 2 o and 2 a.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.5 + -7. Let n = 1 + x. Let r = -1\/35 + -13\/35. What is the smallest value in -2\/7, n, r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -7086 + u**2 - 2*u**2 + 7086. Let a(v) = 26*v**2. Give a(n(y)).\nAnswer: 26*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3*c + 10. Calculate the common denominator of c\/(-1 - 37\/(-77)) and (-43)\/(-32)*(-2 + 0).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4470285719 to the power of 1\/2, to the nearest integer?\nAnswer: 66860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -2748.\nAnswer: -1\/2748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/12780 and 37\/32.\nAnswer: 102240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 431 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301*z + 30 = 306*z. Let n be 5705\/3780 - z\/4. Which is greater: n or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40114 (base 6) to base 2\nAnswer: -1010001101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5 = -3*i, -i + 0 - 1 = 0. Suppose -3*a - 2*f + 91 = -f, 0 = o*a - 2*f - 74. Let u = a - 11. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 11 - 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*x + 30, -23 - 16 = -3*x - 3*q. Suppose -x = 3*o, -3*o - 5 = -b + 4. Let z be (-1)\/(-3) - 28\/(-6). Put b, -2, z in ascending order.\nAnswer: -2, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2177826, -4, 23 in decreasing order.\nAnswer: 2177826, 23, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*y + 5*o, y + o = 2*y - 2. Suppose y*x - 6*x + 20 = 0. Suppose 0 = x*b - 5, 44 = 4*l + 4*b. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 2*d - 5*t, -1 = d - 2*t + 8 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.78 + 1.17. Let x = -0.21 + u. Let c = x + -0.1819. Round c to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -2*j**3\/3 + j**2\/2 + 9*j - 255. Let v(i) = i**2 - i - 5. Give 5*v(s) + 3*y(s).\nAnswer: -s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -19847682 divided by 3307947\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-20)\/(-25))\/((-2)\/(-10)). Let w(j) = 2*j - 11. Let g be w(10). Let n be (g\/12)\/((-3)\/(-24)). What is the highest common divisor of c and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -36. Suppose 5*u - 5*z = -15, -4*u + z = 1 - 4. Let o = u - -2. Solve -r = l - o*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y - 4. Let m(q) = -3*q**2 - 4*q + 1. Let h be m(-2). Let l(r) = 3. Give h*l(i) - 2*t(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b - -473c?\nAnswer: 4748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1657 * 0.40035\nAnswer: -663.37995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 270673020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h + 0*h = -0*q - 5*q + 10*h + 27, 0 = 4*h + 24 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/102*(-1)\/(-2).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4*w**3 - 12*w**2 - 88*w + 96 = 0.\nAnswer: -4, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(900) + (sqrt(900) - sqrt(900)*3) + sqrt(900))\/(sqrt(5) - sqrt(500)*-2))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((-570)\/54 + 10).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2. Let z(y) be the second derivative of y**3\/3 + y**2\/2 - 65*y. Calculate z(k(c)).\nAnswer: -2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 19 = 4*s + 15, 0 = -4*y + 8. Let w(o) = -o**2 - 10*o - 11. Let h be w(s). Find the second derivative of 2*n + 0*n - 2*n**h - 2*n**5 wrt n.\nAnswer: -80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*x + 45, 3*c + 3*x - 1 - 38 = 0. Let g be 3\/6*(0 + c). What is the smallest common multiple of 0 + (g\/(-3) - -24) and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16)*1 + sqrt(16))\/sqrt(8))**2 + ((sqrt(32))**2 + -1 - sqrt(2)) - (-4*sqrt(4)\/sqrt(2) + 3).\nAnswer: 3*sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 - 6*z**3 + 270*z - 270*z.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 - 23. What is the highest common factor of 65 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2307, -4599, -6881, -9147, -11391, -13607, -15789?\n\"Answer: g**3 - g**2 - 2296*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 613.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*g - 24 = -76, 4*t = -4*g - 140. Let c = t - -79. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 23*g**4\/24 + 60*g**2. Let j(i) = 2*i**2. Give k(j(d)).\nAnswer: 46*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 15*s = 78. Suppose s + 3 = m. What is the remainder when 52 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55295266\/8033817 + -40527\/7108. Let p = k + 1\/1644. Which is smaller: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 10, 25, 42, 61?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**5 - 208*p**3 - 305*p.\nAnswer: -20*p**3 - 1248*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 744386070 divided by 682923\nAnswer: 1090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 17.22. Let p = k - 0.39. What is p rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185569 + 0.5?\nAnswer: 185569.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/26 + (-300)\/(-78). Suppose -5*w - g*z + 6788 = 0, 0*w + 4064 = 3*w - 2*z. Suppose -313 = 7*u - w. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -ab55?\nAnswer: ab59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2011, 1979, 1903, 1765, 1547?\nAnswer: 1231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 189.1823mg?\nAnswer: 189182300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 + 56 - (0 + 0 + 0 + -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10981108 to the nearest integer?\nAnswer: 3314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2177 and 4043.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, m: 4, u: 3, j: 2, l: 1, f: 4}. What is prob of picking 2 u and 1 f?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8289 or 8295?\nAnswer: 8295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/39 + 4\/13. Suppose -3*x = -4*z + z + 42, -12 = x + z. Is x bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231820475.\nAnswer: 5, 9272819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 363 - 402. Let u be ((-130)\/v)\/((-95)\/(-15)). Factor 2\/19*s**2 + 12\/19 + u*s.\nAnswer: 2*(s + 2)*(s + 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, u: 1, b: 2}. What is prob of sequence xb?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 + 15*k**2 - 66*k - 29. Calculate r(4).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*n - n + 6 = 0, 2*h = -4*n. Suppose 2*r = -r. What is the tens digit of (-5 - r - -1)*h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 25 = 0, -4 = 2*s - 0*v - 2*v. Let h(z) = -2*z**2 + 7*z - 3. Let b be h(s). Suppose 3*i - 81 = -b*i. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 0) + 3 + -44 + 11?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*v = -16, 4*h - 16 = -0*v + 4*v. List the prime factors of (-576)\/(-60) + h\/10.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 13*l + 13. Let j be v(-11). Let s = 0 - j. Suppose 63 = 3*a + s. Calculate the remainder when a is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13891, 55611, 125145, 222493, 347655, 500631, 681421?\nAnswer: 890025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19.91 - 19.88. What is the second smallest value in p, -3, 7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 10 = k. Let j be 7*6\/k - -1. Let w = j - -46. Calculate the remainder when w is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 320 - -101?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p**2 - 2503*p + 270630. What is d(139)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 53665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.49484 to 2 decimal places.\nAnswer: -3.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, u: 3}. What is prob of picking 2 l and 1 u?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*o**5 + 10*o**4 + 4466*o**3 - 3*o - 244733 wrt o.\nAnswer: 260*o**3 + 120*o**2 + 26796*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -23052335 (base 7) in base 13?\nAnswer: -556283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 888 and 216?\nAnswer: 7992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, e: 1, z: 6, o: 1}. Give prob of sequence ebz.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269505338?\nAnswer: 2, 43, 3133783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l - 1. Let f be z(0). What is the units digit of (1\/(-3))\/(f\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 67 - 34 - 10*u - 38. Let g be v(-2). Let l(s) = 2*s - 15. Let t be l(g). Solve k = 4*k - t for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 9*i. Let r(m) = -2*m**2 - 3*m - 3. Let w(k) = 10*k**2 + 16*k + 16. Let c(h) = 16*r(h) + 3*w(h). Give c(z(g)).\nAnswer: -162*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bsbb when four letters picked without replacement from ssssbbbbsss?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -11*j + 3 + 0 - 27 - j**2 + 0. Let p be s(-6). Suppose -p*u = -5*u - 6. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 + -37. Let n(w) = -w**2 + 5*w. Let b be n(5). Suppose b = -2*m + m. Sort u, 2, m in descending order.\nAnswer: 2, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 + 1726921\/(-63829))*4 - (-2)\/71?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -273 - 1\/4*h**2 + 137*h = 0.\nAnswer: 2, 546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 2)*3 + 33\/(-33).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3994.95ng in micrograms?\nAnswer: 3.99495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -3. Suppose q*v = 4*v - 560. Suppose -2*d = 2*d - v. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*o - 7. Suppose 5*m - 2*m + t - 400 = 0, 0 = 5*m + 5*t - 680. Calculate the highest common divisor of m and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(605) - (sqrt(605) + sqrt(605) + -1) - sqrt(605)) + -2 + sqrt(605) - sqrt(605))*-5 - (-1 + sqrt(180) + 2)*5)*2)**2.\nAnswer: 128000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k + 5*t = -19*k - 18, 57 = k - 9*t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.15 - 3. Let n = -0.071 + 0.121. Let c = n - h. What is the second biggest value in -6, -2\/9, c?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-48 - 12 + 21)*(5*g - 6*g + 5*g) - 2 - g + 2 to t + v*g and give v.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -80? (a) 21\/13 (b) -0.03 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (60\/36)\/(-2 + 3 + (-22)\/33). Let w(v) be the third derivative of -1\/2*v**3 + 0*v + 0 - 1\/24*v**4 - z*v**2 + 1\/60*v**5. Calculate w(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -685 - -9?\nAnswer: -676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h\/(h*h*h\/(h\/(h*(h\/(h*h**(-1\/4)*h))\/h))*h*h))\/h)\/h*h)\/h)\/(h*h**(-3\/2)*h*h)*h**(-3)\/h**(-10))**(2\/19) assuming h is positive.\nAnswer: h**(5\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 + 51. Calculate the greatest common divisor of w and 240.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047288779 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -5246 not equal to -5246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -31172012?\nAnswer: 1\/7793003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-12))\/(1*1\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3914.6 - -1?\nAnswer: -3913.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290797106?\nAnswer: 2, 73, 1991761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 - 6*f**2 + 4*f.\nAnswer: 2*f*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 97073.56 to the nearest 100.\nAnswer: 97100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 260\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 228?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -163.15 rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 3 (c) 1116\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-6))\/s**4)**(-3\/7) assuming s is positive.\nAnswer: s**(-9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32.04 + -32. Are 0 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (85\/(-10) - -9)\/(10\/(-8)). What is the second smallest value in -1\/4, d, -0.05?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 332.7 (b) -0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 65.1 and 1.55?\nAnswer: 100.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-13\/5)\/(f*f\/((f*f*f*f\/(f\/(f\/((f*f**(8\/13))\/f)*f))*f)\/f)*f*f)*f**(-7\/2)*f**(-2\/45))**(-2\/25) assuming f is positive.\nAnswer: f**(6739\/14625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 37 = d, -2*a - 7 = -5*d + 2. Let x = a - 8. Solve h + h = x for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2871\/756 - (-21)\/(-9) and -55\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3272090 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-42)\/189 - (-14)\/(-18) - -3590. Suppose 7*r + 173 = w. Suppose 4*b - r = -4*d, 6*d - 102 = -b + d. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3648513040.\nAnswer: 2, 5, 1811, 25183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 30*x - 217. Give d(14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-10*24\/420)\/(-1*5\/(-210)*-2)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 0.06 (c) 100\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 3\/113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4950 = 33*w - 0*w. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 55 (c) -3\/5 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - b + 0*b)*(8 - 5 + 11*b**3 - 4).\nAnswer: 22*b**4 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79895?\nAnswer: 5, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33507*c**2 - 5*c - 755?\nAnswer: 67014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 630 and 1710.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2. Suppose 12*f - 5*f = 14. Let i(o) = -o + o + 54*o**2 - 23*o**f. Determine d(i(c)).\nAnswer: 961*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -101 - -107. Let n(b) = -4*b**2 - 12 + 3*b**2 + c + 2*b. Suppose -2*r + 9 - 1 = 0. Give n(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggcx when four letters picked without replacement from {x: 8, t: 2, z: 1, c: 2, g: 3, b: 4}.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**4\/6 + 8*t**3 - 229*t. Factor q(v).\nAnswer: -2*v*(v - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 0 + 1\/20*f**5 + 8*f + 1\/12*f**4 + 1\/90*f**6 + 0*f**2 + 1\/18*f**3. Find v, given that d(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 54? (a) -0.3 (b) 0 (c) -1\/4 (d) 0.4 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -63*k - 293. What is the remainder when 903 is divided by t(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqcjlsf. Give prob of picking 1 c, 1 s, and 1 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 36947 and -0.029.\nAnswer: -1071.463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 8:45 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (295 - 590 + 249)*(1 + 2*p - 1)*(-5 + 4 + 3).\nAnswer: -184*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12525*i + 4118?\nAnswer: 12525","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 2)*(-20)\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -6*a**2 + a**3 - 4 + 0*a**3 + 7*a - 1. List the prime factors of b(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25770 + 2732?\nAnswer: 28612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -5*c + 10. Let d(x) be the first derivative of -3\/2*x**c - 1 - 1\/3*x**3 + 5*x. Give d(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-420)\/945)\/((-1386)\/81)\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6572 and 124.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**3\/5 - 3*i**2\/5 + 3*i\/5 + 1. Factor x(g).\nAnswer: 3*(g - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -2, 3, -693 in ascending order.\nAnswer: -693, -4, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 0*m + 8*m)*(-2 + 1 + 0*m + m + (2 - 1 - 3)*(-4*m + 4*m - 2*m) - 5*m + 2*m + 2*m).\nAnswer: 36*m**2 - 9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**4 - 160*m**3 + 161*m**2 = 0 for m.\nAnswer: -161, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15014 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mft when three letters picked without replacement from ftftotofftmtomftw.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 396001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 5007.768 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/100509 and 95\/22245992.\nAnswer: 66737976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -9*h - 1. Let g(l) = 8*l + 2. Let i(n) = 3*f(n) + 4*g(n). Let p(b) = b + 1. Let c(u) = -i(u) + 4*p(u). Determine c(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-3*-2 + sqrt(117))\/((sqrt(90) + sqrt(90) + sqrt(90)*4 - sqrt(90))\/sqrt(10)).\nAnswer: 7*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -45 + -3?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 181 + 214. Let a = u + -345. What is the remainder when 147 is divided by a?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s - 3. Let b(a) be the first derivative of -6*a + 6*a**2 + 1\/4*a**4 + 14\/3*a**3 - 6. Let r be b(-13). Determine g(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -144, -449, -1042, -2019, -3476?\nAnswer: -5509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*d + 2*u, 5*d + 2*u - 14 = 0. Let y(x) = 3*x**3 + 2*x**2 + 2*x - 1. What is y(d)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 64?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-3) + (-15)\/225.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 6*a = 0. Let d = a + 2. Suppose 5*r = 3*u - 2, 0 = r - 0*r + u + d. Put -5, r, -2\/7 in decreasing order.\nAnswer: -2\/7, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.4? (a) 9\/4 (b) -2\/9 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/4*3\/5. Let k = 3\/154 - 335\/1386. Sort -3, k, r, 1 in ascending order.\nAnswer: -3, r, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5*m**2 + 8 - 2*m**2 + 10*m + 3*m**2. Let q(v) = 7*v**2 + 11*v + 9. Let h(n) = -5*a(n) + 4*q(n). Let h(s) = 0. What is s?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21495.8 to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -319 - -619. Let i be 0*(4\/(-30) + 190\/c). Determine k so that -2\/3*k**4 + 0*k + 2\/3*k**2 + 0 + i*k**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3989 and -0.2.\nAnswer: -0.07978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -22, -4, 2062 in ascending order.\nAnswer: -22, -5, -4, 0, 2062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 0 + 0*h**5 - 34*h + 0*h**2 + 0*h**4 + 2\/3*h**3 + 4\/15*h**6. Find the second derivative of l(j) wrt j.\nAnswer: 96*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 less than or equal to 148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**5 + 918*t**4 - 42018*t**3 + 228888*t**2 - 406401*t + 218610 = 0?\nAnswer: -347, 1, 2, 3, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1474 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 59, 74, 89?\n\"Answer: 15*d + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggggggggggkgkkggk. Give prob of sequence gg.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11250301 and 2140.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75285947?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3635 + -1730. Suppose -z - q = -5*p, z + 9588 = -4*z + 4*p. What is z rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 168 or 166?\nAnswer: 168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 81?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-32 - (-45 - -3)) + 21\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/24*12\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1283 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7835687.\nAnswer: 2131, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4635*h**2 - 5*h - 50. Let i be s(15). Round i to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*k**5 + 54*k**4 + 4002*k**2 + k + 1059666322 wrt k?\nAnswer: 760*k**3 + 648*k**2 + 8004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -405.56446+0.05\nAnswer: -405.51446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07473 plus -6?\nAnswer: -6.07473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -238 + 255. Suppose 3*y + y - 26 = -2*o, 0 = -5*o + y + 87. Calculate the greatest common factor of o and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38.99 + -0.99. Let g = u + -72. Let x = -34.14 - g. Which is the third smallest value? (a) -2 (b) x (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -28306\/111311 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from claaccclcaca. What is prob of picking 1 c and 2 l?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7052 + 7052.4. What is the second smallest value in 4, h, -172, -0.2, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 h, and 1 x when three letters picked without replacement from {h: 1, x: 5, e: 1, b: 5}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*g - 862 - 7265. Does 21 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 100*u - 5. Let a be x(0). Sort a, -4, 12.\nAnswer: a, -4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133314, 133315, 133316, 133317, 133318, 133319?\nAnswer: 133320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/26 and -37\/57730?\nAnswer: 750490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 204d82 - -96?\nAnswer: 204e28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**3 - 6*s**2 - 4*s + 4. Let y be o(5). Let u = 193 - y. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + 0.2. Let r = -54.471 - -54.271. What is the closest to -3 in r, s, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 8.748337 and 1\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 2*j = 0. Suppose 3*g = -j*g - 30. Let y be (2\/g)\/(40\/25). Which is the second biggest value? (a) y (b) 0.4 (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*c = -3550, 6*c - 7072 = -4*v + 7*c. Suppose -2*x + 539 = -2*f - 347, f + v = 4*x. Let q = x + -226. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3294808 or 3294814?\nAnswer: 3294814","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-32) - (-15)\/(-28). Suppose -3*m + 7 - 20 = -2*n, 3*m - n = -11. Let a be 195\/(-63) - (-6 - m). Sort q, a, 1, -0.3 in ascending order.\nAnswer: -0.3, q, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 1:07 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u**5\/4 - 217*u**4\/4 + 11221*u**3\/4 - 111463*u**2\/4 - 128731*u\/2 - 33640 = 0. What is u?\nAnswer: -1, 16, 58, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13867890 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: In base 9, what is 2 + 26?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -15459.\nAnswer: -1\/5153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 173588830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*m + 20*m - 16. Calculate the lowest common multiple of m and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + -18. Suppose p = 2 - n. Let d = p - -10. What is the highest common divisor of 1 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1859113 - -5\nAnswer: 1859118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 181645, 181613, 181581, 181549, 181517?\nAnswer: 181485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**2 - 5*m + 8. What is the remainder when 98 is divided by y(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4605889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 74 = 3*l - 2*q, -5*q = -5*l - 115. Let f be l\/2*(-1)\/2. Suppose 49 + 4*v - 54 + f*v - 5*v**2 = 0. Calculate v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**2\/7 + 298*k\/7 - 3520\/7 = 0.\nAnswer: -160, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2. Let k(a) = -12*a**2 - 3*a**2 + 14*a**2. Calculate k(o(c)).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -224 - 13e4?\nAnswer: -1608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 4:54 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -760.\nAnswer: -7\/760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -9293?\nAnswer: -9296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25179 = 100*b - 39*b - 824*b for b.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + q - 4*q - 2, -4*p - 18 = 5*q for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -4*r**7\/21 + 2*r**6\/3 - 3*r**5\/5 - r**4\/3 + 2*r**3\/3 + 3*r. Let v(w) = 0. Calculate w.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4))\/((-77)\/66).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - g + 4, -2*g + 15 = 4*t + 3*g. Suppose 608 = -13*a + t*a. Let m be 12\/30 - (0 + a\/10). Solve 14 = -4*h + 6*p - p, -4*p + m = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -8*j**2 + 1063*j - 25147. What is h(102)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9004051531 - 9004051531 + 317*r - 1073*r.\nAnswer: -756*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.031, -0.22, 13\/159, 2?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -1553\/17295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + (6 - (14 - 11) - (12 - 0)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12168, -12166, -12162, -12156, -12148, -12138, -12126?\n\"Answer: z**2 - z - 12168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 64914, 129846, 194776, 259704, 324630?\n\"Answer: -v**2 + 64935*v - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9125700.\nAnswer: 2, 3, 5, 19, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -l**2 + 9*l - 3. Let x be s(6). Let g = x - 0. Which is the nearest to 1? (a) 0.2 (b) -0.3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -166*r**2 - 146*r**2 + 337*r**2. Let p(x) be the first derivative of -x**3\/6 + 23*x + 26. Let s(b) be the first derivative of p(b). Give s(u(l)).\nAnswer: -25*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.775 - -4003920497?\nAnswer: 4003920496.225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 8, j: 5, g: 3}. What is prob of picking 3 j?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6966 - -6968. Solve 0 = 3*x - t*j + 7, -2*x - 12 = 3*j - 8*j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.479 + -3.4790002403. Round a to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 80 = 2*b, 209*b - 447*b - 3*u + 213 = -235*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*i - 315*i = -335*i - 5092 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*x - 20 = 5*d, -x = 2*d + 15. Let b(k) = -k**2 - 10*k + 2. What is the units digit of b(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 107535 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13281 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - g + 5*g + 24037, 2*y = 3*g + 9612. Suppose 5*z = -5*n + y - 304, -3628 = -4*n + 2*z. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/12 (b) -4 (c) -0.01 (d) 13 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 - 4*c + 1995 - 1995 - c**2 + 3*c**2.\nAnswer: c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 6*c**2 - 2*c + 2. Let a be j(4). Suppose -6 = -0*v - v. Let y = -10951 - -10956. Solve y*s + v = a for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13573*w - 13569*w - 24 = 0. Let p(h) = h + 6. Let o be p(-6). Suppose w*z - 4*z = o. Solve 2*c + z = 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -1\/36, -2\/15, 1?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-46 - -89 - 105 - (-1 + 2 + 13))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 995.67495 nanoseconds to days.\nAnswer: 0.000000000011524015625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-8019)\/85536*32\/((-2)\/2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r**3 - 81*r + 2*r**3 + 84*r)*(0 - 1 - 1) to the form u*r + v*r**3 + f + o*r**2 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-32)*-30*4. Let b = -12 + r. Solve -5*p + d + 22 = 0, 0*p + 4*d - 4 = -b*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3170293.\nAnswer: 7, 353, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r + v = 3, 2*r = -3*v + 2. Calculate the remainder when 22 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2 + 46*m + m**3 - 33004*m**2 - 46*m + 33005*m**2. Let x(i) = 2*i + 2. Let l be x(-2). Calculate z(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.02 - -0.98. Let j = -8 + -8. Let r be (j\/140)\/(2\/(-5)). What is the nearest to -1 in -2\/5, r, y?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 32 = 11*w. Let z(c) = 4*c + 3. Let x be z(-2). Sort w, -3, x in increasing order.\nAnswer: x, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = 3*a + 7*l - 543, 3*a - 535 = 5*l. Let q = a - 173. What is the smallest common multiple of 8 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 145758704 to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-9)*6*12. Let c = b - -22. Let t(r) = 35*r**3 + 4*r**2 - r + 2. Let i be t(c). What is i rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 11 - 39 = 0. Let w be (-5 + c)*(-118)\/(-2). What is w rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a minute in seconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7101244?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71927\/10 - -7202. What is the common denominator of k and -74\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 5*i = -11, -5*j + 5*i - 2*i - 59 + 79 = 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 445, 889, 1325, 1759, 2197, 2645?\nAnswer: 3109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 953772*h + 5722631. Give z(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + d + 0 - 7 = 0, -4*d + 25 = 3*k. Let g(f) be the second derivative of -f**3\/3 + 2*f**2 + 4*f. Determine g(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5781054 divided by -963509?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 11:51 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = m + 9200. Round m to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2624 and 123?\nAnswer: 7872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -22*l + 27*l + 19, 7*c + 99 = -5*c + 15 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express r - 2*r**3 - r + (r + 0*r - 3*r - 3*r + 2*r + 2*r + (1 + 1 - 1)*(r - 2*r + 3*r) + r + 2*r - r)*(0 - 3*r**2 + 0) as f*r**3 + q*r**2 + x*r + w and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 10160261?\nAnswer: 10160263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6624 (base 7) to base 10\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/6)\/((-12)\/(-54)). Let s be (7\/2)\/7*0 + 14. Let h = -13 + s. Solve -k*j + 0*x - 2*x + h = 0, -4*j + 6 = -2*x for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 21*h - 41. Let v be r(2). Solve 0 = f + 4 + v for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 10 = 4. List the prime factors of (2 + 7)*x\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 2 + (-1 - 1). Let o(t) = 3*t - 3. Let y be o(k). Solve f = -y*f + 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.977121s?\nAnswer: 977121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5*i + 5. Let s(f) = 3*f - 2. Determine 2*l(x) + 5*s(x).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/1098869 and -95\/8?\nAnswer: 8790952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*b = -10, 4*b - 9 = -5. Calculate the highest common factor of u and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yz when two letters picked without replacement from {z: 8, p: 2, y: 5}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/36 - (-3 + 28\/8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000114257 to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 2714.8 to the nearest 100.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1357*j**2*l**2*z + j**2*l**2 - 6103797*j*l**3 + 242*l**3*z wrt z.\nAnswer: 1357*j**2*l**2 + 242*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1075 + 505. What is the greatest common factor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25557541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -158 and -157 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112) + 0 - (sqrt(700) + 0)**2.\nAnswer: -700 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m + 4*m**3 + 3*m**2 - 4*m**3 + m**3 - 2*m - 4. Let b be n(-4). Suppose b = 3*s - 9. Solve -4*p = -13 - s for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 m when two letters picked without replacement from {m: 1, k: 3, p: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z. Give m(-17).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10441450 by -13775.\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 253219.308 to the nearest 100.\nAnswer: 253200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 16*x**3 - x**2 + x - 1. Let c be w(1). Let a be (-1)\/10*-14 + ((-462)\/55 - -9). Let v be -1 + a\/((-4)\/6) + c. Solve -3 = 4*g - v for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38789 divided by -1?\nAnswer: 38789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81540?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 - 34 - (34 + -25).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, u: 2, a: 1, q: 1}. What is prob of sequence dq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5\/10 - (-527421)\/(-6))*(-5 - -4).\nAnswer: 3, 9767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0. Suppose 5*w - 8 = 2. Solve 3*d + w*d - 15 = r for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 383, 538, 693, 848, 1003, 1158?\n\"Answer: 155*l + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -360 by 90.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o\/(o**(-1)*o))**(-9\/13))**5)**(4\/31) assuming o is positive.\nAnswer: o**(-540\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 17 = -k + 4*k, 0 = -y + 2*k - 6. Put y, -5, -1\/77, 2\/11 in decreasing order.\nAnswer: 2\/11, -1\/77, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.169 + 1.16931643. Round x to five dps.\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20328 and 5993526.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-93)\/(-3)*(-598 - -597).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 5*p - 39 = 0, f - 5*p + 8 = -p. Solve -5*s + 25 = 11*w - 12*w, 0 = -5*s - f*w for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -1562*c + 8. Let j(i) = 3*i**2. What is j(y(z))?\nAnswer: 7319532*z**2 - 74976*z + 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 7*r - 81. Suppose 22*n = 11*n + 132. Let i be o(n). Suppose k - 3*k = -50. Solve -3*g = -i*d - 3, g - 5*g = 3*d - k for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -2\/89 (c) -2\/13 (d) 1 (e) 3504\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/182 + 214\/(-1391))\/(((-24)\/1036)\/6).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76744.7um to centimeters.\nAnswer: 7.67447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (30\/5 - 2)\/((-51)\/(-66147)) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1558 a factor of 5337380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(1*sqrt(98)) + -1*(sqrt(13) - (-4*sqrt(39)\/sqrt(3) + sqrt(13)))**2 + 5 + 2 + 3.\nAnswer: -198 + sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -1044*g**3 - 3*g**2 + 5*g + 7. What is the units digit of i(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -111*(-43)\/(-3612)*-28?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13463310 (base 7) to base 6\nAnswer: 42554043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 11:51 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/5)*m**2\/m*(m*(m*((m\/m**(-2))\/m)\/m*m)\/m)\/(m**(1\/2)*m) assuming m is positive.\nAnswer: m**(21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-7) - (-23)\/7. Let y = -0.108448 - 1.891552. Sort o, 1.2, y in decreasing order.\nAnswer: o, 1.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2352)*-6*2*-2)**2.\nAnswer: 1354752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 0 + -7)*(-101 + -36). Let f = 1540 - h. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/4 in 0.1, -1\/6, 416, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 4 = r, -4*r - 5*n - 7 = -5*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5867268490 rounded to the nearest one million?\nAnswer: -5867000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.057, 13, -7, 5, -1\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 133507 and 5830.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 2*q**2 + 2*q + 5. Let u(i) = -i**3 + i**2 - 4*i - 4. What is 3*t(o) + 4*u(o)?\nAnswer: -o**3 - 2*o**2 - 10*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91 by 5.\nAnswer: 91\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 51*t**2 + 9. What is r(-2)?\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 4*j**2 + 4*j - 1. Let p be s(5). Let z = p - -12. Let i(t) = -z + 6 - 3*t - t. Let x(l) = l**2. What is x(i(d))?\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 344313643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1857818172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 3*l + 6, 2*l - 3*i + 8*i + 4 = 0. Calculate the remainder when 96 - (3 + -3 + l) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*k + 8 = 0. Suppose 5*i - k*i - 108 = 0. What is the highest common factor of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 1261 = 934. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i + 259. What is u(-64)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 1)*((0 + y + 0)*(-1 + 3 - 3) + 3*y + 2 - 2)*(1 + 13 + 22) to r + h*y and give h.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13493749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 1321*p**2 + p - 6. Let m be j(-3). Suppose -x - m = -7*x. Let n = x - 302. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 696952 + 696968 - 2090878 + 696958 - 5*m**3.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8495 divided by -144?\nAnswer: 8495\/144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -151077*c + 8007086. Calculate f(53).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/27 + ((-187419208)\/(-7911))\/296?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 - 2)*(z + 7*z - 2*z) to the form c + j*z and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 2. Suppose 8 = u - y. 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 value of 2 + (8 - 3) + -7 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2. Let x(d) be the second derivative of 4*d + 5\/6*d**3 + 0*d**2 + 0. What is a(x(m))?\nAnswer: -25*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1152, -1110, -1068?\n\"Answer: 42*t - 1194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-31847\nAnswer: 3184.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.0438 - 13917812992\nAnswer: -13917812992.0438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (287\/(-12))\/(-41)*((-6)\/(-21))\/(-2)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31\/210 + 2\/105. Let d = 18 - 18.07. Let l = -0.13 + d. Which is the closest to 0? (a) l (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6*(-4 - -1). Suppose 11*h = 8*h + 12. Suppose -h = 2*i - 0, 0 = -y + i + 2. Solve -2*b - j + v = y, 0*b - 2*b = -3*j - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**3 - 118*g**2 + 374*g + 175. What is u(-62)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 94593251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(252) - (-2*sqrt(252))**2) + sqrt(28)*4*-2.\nAnswer: -3024 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y + y + 78 = 5*w, 110*y - 4*w = 115*y + 23 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4 + 14958544*u**3 + 37293001447140*u**2 + 30991590561606299456*u - 30991627854622705142.\nAnswer: 2*(u - 1)*(u + 2493091)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - v - 3 = 0, -3*m - v - 3 = -2*m. Suppose -3*n - 2*n + 25 = m. Suppose 2*h - n = -3*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -19942, -39890, -59842, -79798, -99758?\n\"Answer: -2*v**2 - 19942*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 8*r. Let y be 36\/20 + (-2)\/(-10). Solve r = -5*u - 13 - y for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -104 + 110.1. Let f = 2.1 - y. Which is smaller: f or 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -11. Let q = v + 13. Suppose 3*t - 2*t - 36 = 5*w, -q*w + 24 = 2*t. Calculate the remainder when 46 is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -1\/52, 5, 1.8?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 3*v - 3, 2586*v - 37 = 14*j + 2581*v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 7:51 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 4*l - 17*l)*(-204 + 204 + 109*l + 119*l).\nAnswer: -4104*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 - 344515?\nAnswer: -344525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3101048 is divided by 488?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -64, -86, -128, -196, -296, -434?\nAnswer: -616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-556)\/(-12) - 4\/(-6). Let m = z - 327\/7. What is the second biggest value in m, 5, 2\/13?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 5. Let d = 28 - 27. Is d at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1074 - 1070. What is the second biggest value in z, 0.2, -2\/7, -56?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 101*z + 3*z**2 - 46 + 51*z + 5*z**3 - 152*z to b*z**3 + r*z + s + o*z**2 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 27*q**2 + 31*q + 95. Let i be w(-28). Solve 4 = -i*p + 15 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**3 - 5*n**2 + 157*n + 680. Determine y(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-96)\/10 - (-2)\/(-5). Let a be (-1 - 9)*8\/u. Solve 5*d = a + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14471 >= -14470?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1024124 (base 6) to base 8\nAnswer: -141764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11594057 divided by 5.\nAnswer: 11594057\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -10*v + 7*v + 3761, 5*v = 2*c - 7522. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1417.80936 to the nearest integer.\nAnswer: 1418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 180\/(-405) - 193\/(-9). What is the highest common divisor of 126 and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.033*69.\nAnswer: -2.277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0, -2, -4, 2\/139?\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 - -1.2. Let t = 0.2 - n. Let m = -0.6 - 0.4. Put 0.5, t, m in decreasing order.\nAnswer: 0.5, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 189 and 1008.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h**2 - 50*h + 763. Let q(o) = -o**2 - o - 1. Let r(i) = -p(i) - 7*q(i). Factor r(c).\nAnswer: 3*(c - 9)*(c + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 7*u**2. Let s(n) be the first derivative of 29*n**2\/2 + 124. Give o(s(t)).\nAnswer: 5887*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 6:24 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 440466510.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 3, -17.\nAnswer: -17, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1\/2, -0.13, 0.23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4582)\/522)\/(-79))\/(0 + 4\/36).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8057, -4, 2 in decreasing order.\nAnswer: 8057, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1610 and 9545.\nAnswer: 133630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 9*d**2 - d - 2. Let s be r(-9). Let p(o) = 6*o**2 - 3*o - 1. What is the units digit of p(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3938 = 54*x - 1210. Let m(c) = c**3 - 5*c**2 - 5*c - 9. Let n be m(7). Calculate the greatest common factor of n and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 448 + -755. Let q = -158 - r. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1940.194*-2.\nAnswer: -3880.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7164 and 616900?\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + q**2 + 1. Let j(b) = 7*b**3 + b**2 + 7*b + 4. Let u(h) = j(h) - 4*o(h). Let f(x) = x**3 - 2*x**2 + 3*x. Determine -7*f(p) + 3*u(p).\nAnswer: 2*p**3 + 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 8. Let q be 0\/(z + 2 - 1). Let h(u) = u**2 + u - 1. Give h(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n - 5. Let o(a) = a**3 + 15*a**2 - 19*a - 14. Let y be o(-16). Suppose -36*d + y*d = -24. What is the remainder when d is divided by c(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65496649.\nAnswer: 8093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 6:26 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-48)\/288 + (-1 - 79\/(-15)) and -74\/21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*p**3 - 207 - 213 + 420.\nAnswer: 14*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/10 - 477\/(-5). Let b = a + 46. List the prime factors of b.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0662 - 4.1762. Let q = z - -4. Let u = 0.01 - q. What is u rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, v: 1, i: 3, x: 1}. Give prob of sequence xv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 602 - 596. Calculate the smallest common multiple of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40221 less than 0.3?\nAnswer: 40221.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2502688, -2502684, -2502680, -2502676, -2502672, -2502668?\n\"Answer: 4*m - 2502692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 5*s = 2*x - 155, 102 = -3*x + s. Let c = x + 68. What is the remainder when c is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 90 + 50. Is 11 a factor of ((-3696)\/(-40))\/((-3)\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.32, 0.1, 1.3285?\nAnswer: 1.3285","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 1211?\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3710 + -3686. What is the greatest common divisor of m and 201?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 134 in -2\/7, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -448 divided by -56?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 140111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(16)\/sqrt(128) - ((sqrt(2) - (-1*sqrt(32) - sqrt(32))) + (sqrt(18)\/sqrt(3))\/sqrt(3)).\nAnswer: -39*sqrt(2)\/4 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8022 and 5973408?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6*z - 1. Let t be u(3). Calculate the greatest common divisor of t and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4 - 45*g**3 - 658*g**2 - 2880*g + 3584.\nAnswer: -(g - 1)*(g + 14)*(g + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**5\/120 + d**4\/24 + d**3\/12 - 2*d**2 - 25*d. Factor c(t).\nAnswer: (t + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 8*m. Let s(u) = 9*u**2 - 5. Let j(o) = -2*o**2 + 1. Let y(i) = -15*j(i) - 3*s(i). Determine z(y(q)).\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25471637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mcmcmjjmrmmj. Give prob of sequence jrmj.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m - 17. Let u be k(7). Let z = 37 + u. What is the greatest common divisor of 18 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, x: 1, q: 1, a: 1, d: 1, u: 2}. Give prob of sequence zq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and -4.65744.\nAnswer: -4.65744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 3. Suppose -40 = 4*h + 16*h. Sort 1\/9, h, r in descending order.\nAnswer: r, 1\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328 = 175*w - 22. Suppose -3*t + 4*t = 0. Determine q, given that -1\/2*q**5 + t*q**w - 1\/2*q + 0*q**4 + 0 + q**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.2 and 1552\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-3 + 6 - 4 + 3*q) + (-2*q + 6*q - 3*q)*(3 + 1 - 2).\nAnswer: 5*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -112021 (base 5) to base 2\nAnswer: -111110101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20446 + -17962. Is b a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -189, -11.9, 6, 0.4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39102\/(-36309)*(-78)\/7 + (69 - 2)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255000334 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42.6 - 43. What is the nearest to 0 in d, 2\/3, -6, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + (sqrt(35)\/sqrt(5))**2).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37413 is divided by 18677?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 4:44 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in decades?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*m - 39*m + 23*m - 35 = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - v**2 - 7*v**2)*(345*v**2 + 337*v**2 - v + 14*v - 684*v**2).\nAnswer: 12*v**4 - 78*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5 = -11. Suppose 4*i + v - 7 = p, 2*v = -2. Sort 17, i, 0.1.\nAnswer: 0.1, i, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1513039463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/4968091 and -65\/258.\nAnswer: 29808546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -63.3, 1\/4, -5, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11)\/(33\/(-9)) + 260 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -63*y + 36*y + 81216. What is the thousands digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (70 - 54) + 2 + -16 + 5 + -26?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -640.34407 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/21, -11, 1?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.006661 minutes to nanoseconds.\nAnswer: 300399660000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 104 = -5*h - 2*u, -4*h + 77 = -5*u. Suppose -4*w = -2 + h. Let r = w - -18. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/9)*k*k)\/(k*k\/k**(-6))*k**(-8)*k**(-9) assuming k is positive.\nAnswer: k**(-208\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 6:11 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 50451.661 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -58058.52869 + 58058. Let y = i - -0.53. What is y rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 84 - 107. Let x = w - -27. Suppose -3*b + s - 5*s = -66, -3*s - 88 = -x*b. Is 2 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 25. Let z be (-5)\/((-5)\/(-17)) + o. Which is the closest to z? (a) -0.2 (b) -2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 171 and 40489?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6226 by -13045.\nAnswer: -6226\/13045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -11, -2\/7, 0.2, -1\/2430, -1?\nAnswer: -1\/2430","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + 0 + -1)**2.\nAnswer: -18*sqrt(17) + 1378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 700, 1384, 2068, 2752, 3436, 4120?\nAnswer: 4804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 535\/2 + -267. Which is the nearest to m? (a) -5 (b) 0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**5 + 385*y**4 - 5190*y**3 + 13210*y**2 - 12415*y + 4005.\nAnswer: 5*(y - 9)*(y - 1)**3*(y + 89)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (597\/995)\/((-4)\/240*3)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -m**6\/360 - m**5\/30 - m**4\/24 + 2*m**3\/3 - 3. Let x(t) be the third derivative of v(t). Give x(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 15 - 28 - 7 + 30*l**2 + 10.\nAnswer: 30*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 50983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -313542 (base 6) to base 10\nAnswer: -25478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -98 + 102. What are the prime factors of (6*(-5)\/45)\/(y\/(-1302))?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l + 11*l = -3*m - 8, -3*m + l - 7 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4887, -4888, -4887, -4884, -4879, -4872, -4863?\nAnswer: -4852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5 = 0, 3*t - 15 = -4*x + 14. Put t, -1, 1, -1\/6 in decreasing order.\nAnswer: t, 1, -1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h**2. Suppose 0 = -0*a + 2*a - 4. Let s(t) = -t + 2*t - a*t. What is s(d(l))?\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*f + 47797 - 47755. Determine k, given that 6\/13*k**f + 2\/13*k**5 + 0*k + 0 - 6\/13*k**4 - 2\/13*k**3 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 10:07 PM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - h**2 - 3*h + 3. Let u = 63 + -58. Is d(u) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((((x**(-7)*x)\/x*x)\/x)\/x))**(11\/3)*x**(-3\/7)*x**(1\/5) assuming x is positive.\nAnswer: x**(1147\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**2 + 0*j**2 + 2*j**3 + (-2*j + 1 - 1)*(-217*j**2 + 1387*j**2 + 1946*j**2).\nAnswer: -6230*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 20 = -0*x + 5*x, -x = -s - 4. Let d(c) = c - 8*c + x*c + 0*c - 7 - c**2. Let p be d(-6). Which is smaller: p or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(3\/5))**24)**(-2\/51) assuming t is positive.\nAnswer: t**(-32\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 5, 2*j - 3*j = 4*g - 335. What is the greatest common factor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1076753.6 rounded to the nearest 10000?\nAnswer: -1080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14917603 and 278597?\nAnswer: 164093633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -14. Let r = 0 + i. Put r, 0.04, -1\/5 in decreasing order.\nAnswer: 0.04, -1\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4 + 69*t**3 + 504*t**2 + 1284*t + 1056.\nAnswer: 3*(t + 2)**2*(t + 8)*(t + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13345 - 13345 - 3*m - 2*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30? (a) -5 (b) 0 (c) 4 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-9)\/(c*(c**16*c)\/c)*(c**3\/c)**(-26))**40 assuming c is positive.\nAnswer: c**(-3120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 - 44 + 1 = -12*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25382*v - 76342*v + 25494*v + 1 + 25518*v.\nAnswer: 52*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuyuyuyuypyypyyyu. What is prob of sequence uyp?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 9 (b) 2\/9 (c) -13.21 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 11, 52, 1\/6, -1\/3993?\nAnswer: -1\/3993","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 11*a + 4. Let z be y(-9). Suppose c - z = b, -2*b + 67 = 5*c - 43. Suppose -8*r = -6*r - c. Calculate the highest common divisor of r and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*6*2*(3 + sqrt(80))*-1 + -5 + -4)**2.\nAnswer: 129600*sqrt(5) + 465345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(425) - sqrt(425)*2) + -4)**2 - (((sqrt(425) - 1*sqrt(425)) + 0)**2 + -5 + sqrt(425) + -1).\nAnswer: 115*sqrt(17) + 1329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -25*c + 23*c. Sort 4, c, -5, -3 in ascending order.\nAnswer: -5, -3, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 204222314?\nAnswer: 204222321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Convert 3d8 (base 14) to base 2.\nAnswer: 1100001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 304.5136547327.\nAnswer: -304.2136547327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -312*c**3 - 848 - 9*c**5 + 70*c**4 + 15*c**5 + 9*c**5 - 168*c**3 + 1028 - 655*c + 870*c**2.\nAnswer: 5*(c - 1)**3*(c + 9)*(3*c - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 3, -2\/5, 601, -1\/3, 1\/9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12023, 24037, 36051, 48065, 60079?\n\"Answer: 12014*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 8*h**2 - 6*h + 1. Let g be d(-7). Let c = -142 - -141. Put 3, -3, g, c in descending order.\nAnswer: 3, c, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h - 2 + 2)*(-1047*h + 1045*h + 0 + 2 + 2*h**3) to the form l*h**3 + z*h + a*h**4 + y*h**2 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(304) - sqrt(304))**2 + 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 6*n - 420. Calculate the least common multiple of n and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/35916 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1919286644 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-28)\/294)\/(4\/6). Let v be (-32)\/(-30) - (-4)\/(-6). Put -2\/11, q, v in increasing order.\nAnswer: -2\/11, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.87941ml to litres.\nAnswer: 0.05587941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*o = -4900, -2*x - 292 = -5*o - 2735. List the prime factors of x.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d. Let j(h) = 46537*h**2. What is j(s(q))?\nAnswer: 186148*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 74.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-7 - 29) + -5 + 75.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 546.0532 millennia in years?\nAnswer: 546053.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -282 + 275 - 2*d**3 + d**3 + 8*d**2. Find the second derivative of o(g) wrt g.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50406.\nAnswer: 2, 3, 31, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 (base 16) in base 8?\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 723305 (base 8) to base 10.\nAnswer: 239301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/5)\/(1 + 964\/(-20))*(-61704)\/(-38565)?\nAnswer: -2\/295","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -103171587*c*t - 1118709*t + 70 with respect to c.\nAnswer: -103171587*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -a33?\nAnswer: a32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.05570052 + -0.0557. What is k rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-135)\/5 - 1\/(-1). Let l = -18 - b. Suppose -4*q - 3*f = -l*q + 1, 5*q - 5*f = 0. What is the remainder when q is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/3, 3\/2, -5, -0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a + a**3 - 4*a + (921*a - 921*a - 69*a**2)*(-2 + 2 - 2)*(2*a - 2 + 2) as y*a**2 + v + z*a**3 + p*a and give z.\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -549, -569, -589, -609, -629?\nAnswer: -649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-42) + (-16)\/(-7). Suppose 2*v + 2*j - 32 = -3*j, -z*v - 3*j = -28. Find the common denominator of ((-20)\/(-6) - 4) + 304\/(-30) and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**14*y*y**(4\/27) assuming y is positive.\nAnswer: y**(409\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 41856 divided by 109\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -17*d + 1\/18*d**4 - 1\/9*d**3 - 1\/3*d**2 + 1\/30*d**5 + 0. Let w(c) = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 = 4*s + 34. Suppose 0 = 3*z + 3*p - 126, 80 = 3*z + 5*p - s. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (144\/60)\/((-12)\/(-45)). What is the second derivative of -12 - 2*i - 10 + p*i**4 + 4 + 10*i**4 wrt i?\nAnswer: 228*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2 = -5*y, -2*y = 5*v + 2*y - 19. Let h = -2 + 4. Sort -5, v, h in descending order.\nAnswer: v, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7492, 14712, 21940, 29182, 36444, 43732, 51052, 58410?\nAnswer: 65812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 1 = -2*c + 7, -5*w - 16 = -c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 880*u. Let z(g) = -330*g. What is t(z(y))?\nAnswer: -290400*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4\/543 (b) 0.5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*j - 3 = -2*q, -5*q = 2*j - 24. Let r(f) = q*f - f**2 - 9 + 5*f - 3*f. Let m be r(6). Solve 3*b - 2 = 5*y - 4, -m*b = 5*y + 22 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -122. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 12*z + 3*z**2 + 0*z.\nAnswer: 3*z**2 + 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**3 + 3*o**4 - 43 - 47 - o**4 + 91 - 2*o**2 to the form i*o**2 + p*o + k*o**4 + c + g*o**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1715.8*-0.95.\nAnswer: -1630.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*n - 42 = 0, -2 = 2*z - 2*n - 10. Let f be z - 7 - (-2552980)\/2. Let o = f - 336492. Round o to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**3 - 107*g - 82*g + 213*g + 5*g**3 + 0*g**3 - 4*g**3 + (2*g + g - g)*(4 - 4 - 2*g**2) + 3*g**3 + 2*g**3 - 3*g**3.\nAnswer: -3*g**3 + 24*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 99*z + 21. Let w(r) = 3. Let c(k) = j(k) - 7*w(k). Let g(n) = -15*n. Calculate g(c(v)).\nAnswer: -1485*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/22 in 1, 13, 0.061, 1\/3?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 928*l**4 - l**3 + 54*l**2 - 221425*l wrt l.\nAnswer: 11136*l**2 - 6*l + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-4) + (540\/16 - -3). Suppose -2*j = 5*x + 80, 7*j - 8*j = x + c. Is -42 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -6*q + 435. What is the remainder when h(-14) is divided by 258?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 11, s: 1}. What is prob of picking 1 s and 2 y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2 + 228*y**2 - 1 - 12*y + 221*y**2 + 466*y**2 + 45*y**2. Is i(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -10. Suppose 0 = -2*f + k + 1, 2*n = -4*f + 14. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s = -16*s - 1071. Is 17 a factor of (s\/6)\/(15\/(-150))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19374 >= -19353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**12*s*s)\/s*s\/((s\/s**5)\/s))**(2\/73)*(s**(1\/2)\/(s\/(s**7\/s)))**7 assuming s is positive.\nAnswer: s**(5697\/146)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 526860 and 2340.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1026919 divided by 60407.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1 + sqrt(847)*-2 - sqrt(847) - sqrt(847))*3.\nAnswer: -132*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 3. Suppose 0 = -s - 3*u - p*u - 18, -4*s + 16 = -2*u. Let i(f) = 2 + 0 - 2 - s*f**2. Let a(q) = -2*q**2. What is i(a(y))?\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.0096 - 0.0096. Let h(o) = -o**3 - 10*o**2 - 18*o - 11. Let k be h(-8). Put 3, k, t, -2\/67 in decreasing order.\nAnswer: k, t, 3, -2\/67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 152 = -72*m + 88. Solve -m*n + 18 = 3*g, -n - 26 = -5*g - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1142679 and 171.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 149260010*h*v**3 + 106*h*v**2 - 18*h*v - 2526*v**2 wrt v?\nAnswer: 895560060*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 582662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2243786, 2243750, 2243714?\n\"Answer: -36*r + 2243822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 84*n - 119. Let w(a) = -7*a + 10. Let u(o) = 3*t(o) + 35*w(o). Is u(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -569 (c) -1 (d) -3 (e) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eveseovosoee. What is prob of picking 1 o and 2 e?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11231 (base 5) to base 8.\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, w: 1, h: 4, a: 6}. Give prob of sequence ah.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.15 + 0.15. What is the second smallest value in g, -2, -6, 3\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 1049 = -6341. Let q be t\/28 - (-2)\/(-8). Suppose 3*f = -2*s + q, 0*s = s + f - 25. Calculate the remainder when 111 is divided by s.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20108\/(-165) - 8\/60. Let i = f + 131. Solve -5*v + k = 8, i + 0 = 3*k for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10208 (base 13) to base 10\nAnswer: 28907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 2. Let g be a(2). Let q be (29\/638*-8)\/(4\/(-22)). Suppose -q*l + 40 + 146 = g. Is l a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17796 and 14830.\nAnswer: 88980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 28\/(-378) + (278\/108)\/1. Solve k*t**3 - 6*t**4 + 6*t**2 - 9\/2*t**5 + 0 + 2*t = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 3:28 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -335*a + 316*a + 85 + 257 = 0 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1118 and 1421030.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1))**(-1\/43) assuming w is positive.\nAnswer: w**(1\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1166, 4674, 10522, 18710, 29238, 42106, 57314?\n\"Answer: 1170*u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18101867 to the nearest integer?\nAnswer: 4255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1423747.\nAnswer: 13, 109519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 662.0646 microseconds in nanoseconds?\nAnswer: 662064.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138 - 18*r - 256 + 118.\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssbbbsessssesss. What is prob of picking 1 e, 1 b, and 1 s?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -746, -764, -788, -818, -854, -896, -944?\n\"Answer: -3*c**2 - 9*c - 734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 68310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wcw when three letters picked without replacement from sswwscvvsvcvwss.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -109307*b**4 - 5*b**2 + 4*b - 189523 wrt b.\nAnswer: -1311684*b**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 24 = 6. Let m(s) be the third derivative of -1\/3*s**3 + 0*s**5 + 0*s**4 + 1\/60*s**r + 0 + 5*s**2 + 0*s. Differentiate m(w) wrt w.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380967 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/10698499 and -50\/1752019.\nAnswer: 502829453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 7*x - 10. Let i(h) be the first derivative of h**2 - 9*h - 1. Let g be i(6). Suppose 14*b + 88 = g*b. Determine a(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/4272 and -173\/60.\nAnswer: 21360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millennium in centuries?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 512741167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 + 2496*o - 31772.\nAnswer: -4*(o - 611)*(o - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 40, -14, -116, -278, -512, -830, -1244, -1766?\n\"Answer: -2*h**3 - 12*h**2 - 4*h + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/5, 7, 2.2, 20\/9, 0.1, -2, 0.01?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -626, -4315, -14240, -33491, -65158, -112331, -178100?\nAnswer: -265555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 0 + 5*k + 1\/80*k**5 - 19\/48*k**4 - 3*k**2 + k**3. What is r in l(r) = 0?\nAnswer: 2\/3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -3*c - 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-186)\/(-84)*(-1487 - -1431)\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 214681306 to the nearest integer?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - m + 0)*(-4*m + m + 2*m - 2) - 108*m**2 + 57*m**2 - 153*m**2 in the form d*m + i*m**2 + s and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 3 = -3*m, -63 = 2*m - 71 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (3 - (1 + -1) - (-118 + 147))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1140 - 1136. What is the nearest to -4 in r, -0.5, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, k: 3, i: 6}. What is prob of picking 2 k?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oob. What is prob of picking 1 o and 1 b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-184)*-12)\/3.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20682 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-479870)\/(-32) - (-110)\/1760?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 6*x**2 + 3*x - 9. Let w be h(-5). Let f be (-1 - -4) + -2 + 0. Calculate the greatest common divisor of f and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*s = -135*s + 13*s + 646 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1021936029?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6770919648*z + 3385459816*z + 3385459830*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5877\/3220 + 16\/115. Let n = -289143\/22 - -13146. Find the common denominator of n and y.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + -2 - (-6)\/2. Find the common denominator of -2 - (2\/(-344))\/(u\/(-1494)) and 45\/16.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 1\/3*c**3 + 2*c - 2\/3*c**4 - 16*c**2 - 50. Differentiate x(t) wrt t.\nAnswer: -16*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**3 - 65*k**2 - 15*k + 41. What is the remainder when p(-22) is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -181 at least as big as -180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 4. Let h(d) = -5*d - 19. Let p(j) = 2*h(j) - 11*w(j). Let b be p(-6). Is 30 - (-5 + b + 4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(252) + (sqrt(252)\/sqrt(4))**2.\nAnswer: -6*sqrt(7) + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = o, -25 = -2*d - 3*o + 5. Suppose -4*n = d - 32. Suppose -q + n = 1. Calculate the remainder when 10 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35888563 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271 is divided by 62?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50895 is divided by 960.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (13 + (-1 - 11)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + sqrt(245)*2).\nAnswer: -14*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1236689 is divided by 455.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + l - 42 = 0. What is the highest common divisor of 63 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 14*p**2 + 17*p + 12. Let x be l(-15). Let y(m) = m**2 - 10*m + 13. Let t be y(9). Let w be t\/x*18\/12. What is the biggest value in -4, -1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 166 = 66*c - 70*c, 0 = 3*r - 4*c - 98. Solve 7*g + 135 = r*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1 + -1*sqrt(192))**2 + (sqrt(525)*-2)\/(6*sqrt(28)\/sqrt(4)).\nAnswer: 43*sqrt(3)\/3 + 190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -8.3. Let r = 43\/4 - 11. Let c be (14\/10)\/(42\/15). What is the smallest value in o, r, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a factor of 1686685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 259? (a) -3 (b) 5 (c) 1\/4 (d) -13 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -37, -47, -53, -55?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11 + -2 + (2 - 2). Suppose 0 = 10*c - 13*c + b. What is the units digit of 3 + c + -5 - -21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73827 divided by 1.\nAnswer: -73827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/45 - -217\/18. Let r = 53 - -2. Let b = 609\/10 - r. What is the common denominator of v and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**3 + 6*r**2 - 6*r**2 - 7*r - 3*r**3 in the form y*r + s + t*r**2 + h*r**3 and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-418)\/24 + 243 + -229 and ((-1)\/(2\/10))\/21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/4 - 633\/60 and 41\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + sqrt(882)*-2 + sqrt(18))\/(sqrt(6) + sqrt(6) + -3*(sqrt(6)*-3 - sqrt(6)) + sqrt(6) + sqrt(6) - sqrt(6)).\nAnswer: -4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - p - 1. Let m = 20 + -50. Let x(j) = -3*j**5 - 6*j**2 + 5*j + 5. Let b(g) = m*f(g) - 6*x(g). What is the third derivative of b(o) wrt o?\nAnswer: 1080*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + -22.8. What is x rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = m - 9, -m - 4*m - 25 = -4*q. Suppose -8 = -4*v, -29 = -3*x - q*v + 17. Suppose g + g = x. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1945945?\nAnswer: 5, 389189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 111 and 481?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 146*r**2 - 84953*r - 11001. What is j(582)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 16 = -4*d, 0 = -16*d + 11*d - 4*n + 11 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 9*y - 11. Let h(v) = 6*v - 5. Let q(g) = 7*h(g) - 3*s(g). Let p(u) = 16*u. Determine p(q(i)).\nAnswer: 240*i - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 5001670*d**3 + 10765*d**2 + 0 - 5001667*d**3 - 10765*d**2.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/3)\/u)\/(u\/(u*u*u**7)))\/((u**3*u)\/u*u**(-2\/7)\/u) assuming u is positive.\nAnswer: u**(125\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -66)*(37 - (-6468)\/(-176))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-824)\/(-3708))\/((-4)\/(-18)). What is the nearest to 37 in -5, 5, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4237882 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 948 - 900 - (17 - 0)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*6*1\/2. Let z be m\/((-63)\/(-33) - 2). Round z to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3865687*n**2 + 3865687*n**2 + 2097*n**4)*(0 + 0 - 3) in the form d*n**3 + m + v*n**2 + w*n + s*n**4 and give s.\nAnswer: -6291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9750, -9756, -9762?\nAnswer: -9768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/70 - 2\/(-10). Let c = 0.5 + -0.55. Let m = 0.45 + c. What is the nearest to g in -5, -2\/11, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25231486 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*c = 5*c + 234, -2*c = 5*d - 355. Let u = -60 + d. Differentiate -26 + u*s + 30 - 3*s - 27 wrt s.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(102))\/sqrt(6))**2 + (sqrt(17) - (sqrt(425)*1 + sqrt(425))**2) + -2*sqrt(153)*1.\nAnswer: -1632 - 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 23*r**3 - 20*r**3 + 45*r**3 - 32*r**2 to the form g + t*r + i*r**3 + q*r**2 and give q.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 82*q + 2. Let h(c) = 82*c + 1. Let z(d) = 5*h(d) - 4*v(d). Let l(s) = 9*s + 145. Let y be l(-16). Is z(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8623129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 49519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 + 612?\nAnswer: 611.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 76 = -4*z, -z - 58 = 5*t - 303. What is the tens digit of (-2 - 26)*t\/(-28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**2 - s + 4. Suppose 2*r = -2*r + 12. Let w be u(r). Suppose -2*p - 2*p + w = 0. What is the highest common factor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5034365\/8 < -629296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2.543819 kilograms?\nAnswer: 2543819000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39512 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (((-693)\/(-245) + -3)*(-80)\/(-264))\/(1 + 1)\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(275) + -2 + 4 + (sqrt(176) + 2 - (sqrt(99) - (sqrt(99) + sqrt(99) + 1 + sqrt(99))))).\nAnswer: -75*sqrt(11) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 7*z + 30 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c - 2. Let b be j(-3). Differentiate -1 + b*s - 2*s - 7 wrt s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4*b = -648, 3*d + 3*b - 519 = -d. List the prime factors of d.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10211001 (base 3) to base 15.\nAnswer: -c57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1777*o + 550*o - 333*o - 402*o to the form x*o + i and give x.\nAnswer: 1592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**4\/(u**18*u))**(-32))**(2\/43))**(-49) assuming u is positive.\nAnswer: u**(-47040\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3100*h**2 - 5*h + 27*h + 12 + 2658*h**2. Let y be j(-7). What is y rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1502581127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/4 and -15\/34852.\nAnswer: 34852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.7 + -14. Let g = 2.3 + w. Which is the closest to g? (a) 0.4 (b) -2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 372 = -7*i. Let p = i - -169. Suppose -4*t = -p + 20. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14688 to the nearest 100.\nAnswer: 14700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 5. Let o(z) = z + 3. Let v(g) = -4*g - 10. Let q(a) = -10*o(a) - 3*v(a). Let i = -9 + 10. Let c(k) = k**2 - k. Calculate f*c(t) + i*q(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -109 + 13. Let d be (-1 + (-18)\/(-15))*-1367. Let h = -270 - d. Calculate the common denominator of h and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -7*o + 17. Suppose 0 = o*w - 2*h + 16 + 9, 0 = 3*w + 5*h - 10. Is ((-2)\/w + 22512\/20)*1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/132 and -95\/62634.\nAnswer: 125268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*t - 24 - 36 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8272140?\nAnswer: 2, 3, 5, 137869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -111220210111 (base 3) in base 12?\nAnswer: -112657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t**(-2)\/t)\/t*t)*t)**7\/(t*t\/(t*t**(-4\/7))*t*t**(-7)) assuming t is positive.\nAnswer: t**(276\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 977.2824l to millilitres.\nAnswer: 977282.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -87707625*b*n - 945*n - 177346 wrt b.\nAnswer: -87707625*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/167, 4\/3, -4, -3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -1485709*r. Let w(s) = s. What is w(p(d))?\nAnswer: -1485709*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*d + 203, -5*d + 0*d - u = -204. Let h = d - 17. What is the greatest common divisor of 6 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 10*h + 7*h - 8465 = 0, 4*x = -3*h + 16957. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 2:18 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*q + 67 = -11243 for q.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t + 35*t - 11894 = 13782. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2. Let l(z) be the second derivative of 55*z + 37\/6*z**3 + 0 + 0*z**2. Give l(v(u)).\nAnswer: -74*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -26*k**5 - 108*k**4 + 712*k**3 - 720*k**2 - 128*k = 0.\nAnswer: -8, -2\/13, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 6. Factor -2*u**4 + 3*u**3 - 6*u**2 + 0*u + 6*u**3 - 3*u**3 + z*u.\nAnswer: -2*u*(u - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**4 - 6*i**4 + 2*i**4 + (-11*i + i - 13*i)*(-2*i**3 + 2*i**2 - 2*i**2) + (0*i + 0*i - 6*i)*(2*i**3 + 3 - 3).\nAnswer: 35*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -405815, -3 in decreasing order.\nAnswer: -3, -6, -405815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 0. Let i be (1 + w)\/((-5)\/(-10)). Let c = 7493 - 7483. Solve 0 = -i*g + 6*g + c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 - -29. Let n = -8 - w. What is the third smallest value in n, -1\/4, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -155 - -230. Let b = -115 + z. Which is smaller: b or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 13 = 3*x - t, 5*x + t - 39 = 0. What is the highest common divisor of 56 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h. Let o(v) be the third derivative of -v**6\/45 - 25*v**3\/6 - v**2. Let n(x) be the first derivative of o(x). Calculate i(n(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 1)*(-h - 1 + 1) + (-5*h - 2 + 2)*(-5 + 1 + 2) + 3 - 3 - h)*(-37*h**3 + 7*h**3 + 19*h**3).\nAnswer: -88*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -10120220?\nAnswer: 10120220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3418*m - 3265*m - 7 + 6564*m - 2*m**3 - 4*m**4 + 0*m**3 as w*m**2 + h + u*m**3 + l*m + n*m**4 and give l.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-100)\/(-15))\/5*(34\/(-85))\/(24\/450)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3902*h**5 - 4*h**3*l**3 - 84*h*l**3 - 5*h*l**2 + h*l wrt h.\nAnswer: -78040*h**3 - 24*h*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 4*f - 3. Let m be v(3). Suppose 5*o + 9 - 144 = m. Suppose 4*l - l = o. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000014 to 6 decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 69. What is z(-28)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/34 and 15\/58894.\nAnswer: 1001198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.5 - -0.2. Let z = 1.6968 - w. What is z rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2.24699 = 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6461 from -1811.\nAnswer: -8272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -351 - -41?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 0.0433.\nAnswer: 0.01732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 661012255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 6*v = -3*i - 116, -5*v + 244 = 4*i. Calculate the least common multiple of v and 18.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 492, -0.04, 4.6, -0.1 in increasing order.\nAnswer: -4, -0.1, -0.04, 4.6, 492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/5*(8 - 3). Suppose -4*o + 25 = -b*h - 9*o, 0 = h - 5*o - 25. Suppose v + 32 = 4*n, v + 25 = 3*n - h*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 9*k**2 + 2*k - 15. Let r be n(9). Suppose r*w + 620 = 665. Solve -5*j + 50 = -w*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4196 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u - 5. Let i be g(-8). Let m be 1145\/35 + 6\/21. Calculate the greatest common divisor of m and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 55029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -88?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*c**3 - 273*c + 273*c.\nAnswer: 197*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(20)*1)\/(sqrt(4) - (sqrt(4)*-1 - sqrt(4))*-4)*2*-6.\nAnswer: -24*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2575 = 2582. Which is greater: 3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*-1 + (0 - -8). Let k(j) = 5*j - 36. Let l be k(9). Suppose -4*b - l - r = -3*t, -4*t = -b - 20. Solve 4*z = 1 - t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 2 + (-2 - (-8 - -5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.74443 litres to millilitres.\nAnswer: 47744.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 22\/10 + 32\/(-160). Let h = 88\/7 - 398\/35. Is d smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3321\/492)\/(9\/8))\/((-3)\/(-68)*-2).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 0 - 6*f**2 - 5\/24*f**4 - 1\/20*f**5 + 0*f + 0*f**3. Let j(w) = 4*w**2 + 5*w + 1. Let i(h) = 5*d(h) + 4*j(h). What is i(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 4*r + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6\/7, -16, 0, 27426?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -108 + 129. Suppose t*n - 1108 = 17*n. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 342*n*o**6 - 4*n*o**3 + 30*n*o**2 - 16*o**4 + 677*o**2 + 1 wrt o?\nAnswer: 41040*n*o**3 - 24*n - 384*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 d when two letters picked without replacement from ddodoodooo.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**7*y)\/y**(-6\/5))\/(y*y*y*y**(-5\/4)*y*y*y**5\/y*y) assuming y is positive.\nAnswer: y**(29\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x - 4. Let n be r(8). Suppose n*o - 36 = -0*o. Calculate the remainder when 15 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2896518.\nAnswer: 2, 3, 482753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -192 divided by 6.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 - 12*n + 2. Let i be f(6). Solve -i = -l - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*o - 24*o + 2 - 15*o.\nAnswer: -26*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2 + 27 = 2*k, -4*k - 4*d = -28. What is the second derivative of 12*x + 25*x**k + 27*x - 27*x wrt x?\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -388*b - 913 - 3450 - 2434 = 4067 for b.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*x + 2 + 6*x**3 - 53*x + 106*x in the form l*x**3 + y*x + q + z*x**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 48 = -24. Suppose f + 110 = 3*s, 116 = -5*s + 8*s - 4*f. What is the highest common divisor of s and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -869, -6682, -22485, -53282, -104077, -179874, -285677, -426490?\n\"Answer: -834*k**3 + 9*k**2 - 2*k - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 5*h + 32*h**4 - 28*h**4)*(-2*h + 3*h - 3*h).\nAnswer: -8*h**5 - 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 223089361?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*f + 53, -n + 5*n - 2*f - 118 = 0. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5*1*2\/(-2). Suppose -3*n + 1432 = w*f, -3*f - 130 + 962 = -5*n. List the prime factors of f.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 6*d - 200. Suppose -2*w + 5*w = 0. Suppose -4*l = -w*l - d. Calculate the greatest common factor of l and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 573, 1154, 1737, 2322, 2909, 3498, 4089?\nAnswer: 4682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20422053833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 6*f - 32. Suppose -12 = -f*d + 4. Let l(v) = -v**3 + 4*v**2 + 2*v - 4. Give l(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 2*z - z + 1 - 1 - z + (3 - 3 - 1)*(z + 0*z + z) + z - 3*z + 0*z - z + 2 - 2 - 3*z + 3*z - 2*z)*(-3 + 2 + 4)*(4 - 5 - 1).\nAnswer: 42*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**2 + 15*a + 273275 - 9*a - 273275 - 6*a.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((((-6)\/(-45))\/1)\/((-1)\/84))\/(472\/1180).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 0*i**4 - 2*i**3 + 13*i - 3*i**2 + i**4 - 11*i to the form p*i**2 + x + w*i**3 + o*i**4 + m*i and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + 5*l**2 - 3*l**2)*(-2*l + 3*l + l)*(4 + 1 - 2)*(-1 + 0 + 2).\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -363, -1020, -1281, -456, 2145, 7212?\n\"Answer: 115*z**3 - 492*z**2 + 14*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2d (base 15) in base 16?\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 5, 1464, 14 in increasing order.\nAnswer: -3, -2, 5, 14, 1464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 8. What is the closest to -2 in x, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18887196 divided by 4721799?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6368 is divided by 789?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29267 and 51415.\nAnswer: 1902355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 638758*x - 1277519. What is c(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - 7\/(-2) - (-6)\/(-20). Find z, given that -k*z**2 - 2\/5*z**3 - 6\/5*z - 2\/5 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -2223?\nAnswer: -2227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*1*-2*5 - -5*(0 + sqrt(176)))**2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 345078?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 221, 477, 735, 995?\nAnswer: 1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1360\/(-51)*((-195)\/(-26) - 9).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*v**(1\/7))\/v*v)*(v**(1\/3)*v*v)\/v)**1 assuming v is positive.\nAnswer: v**(25\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108492?\nAnswer: 2, 3, 9041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 125 - 140. Let k be ((45500\/(-3))\/1)\/(l\/(-1800)). What is k rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 89 = -72. Suppose -2016 = -h - k*h. Does 16 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 68 = -4*a - 0*q, 0 = -a - 5*q + 17. Let t(h) = -h**2 + 13*h + 24. Let z be t(a). What is the remainder when (z\/8)\/(3\/(-36)*2) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36752169*z - 30891807.\nAnswer: 36752169","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xpx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 650 - 646. Which is the closest to -1? (a) 2 (b) p (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**5\/60 + u**4\/4 - 3*u**3\/2 + 5*u**2. Let v be l(-7). Is v at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -4. Let f = -2 + j. Let l be ((1 - 1)\/f)\/(-2). Let q(w) = -w**2 - w + 7. What is q(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -702 + 5613\/8. Put -2, -0.1, y, 2\/13 in descending order.\nAnswer: 2\/13, -0.1, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -196, -436, -772, -1204, -1732?\nAnswer: -2356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/916 and 121\/2290?\nAnswer: 4580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*o + 5494 = -3369, 0 = -3*a + o + 8857. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2789 is divided by 71?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 + 53. What is the smallest value in -11, -5, j?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45135 = -5*u + 5*o - 16440, -4*u = o - 22981. What are the prime factors of u?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-192)\/(-40))\/12*-25?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 233203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-59)\/2891*2\/((-2)\/(-7)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 398745, 398746, 398747, 398748, 398749, 398750?\n\"Answer: q + 398744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 123142?\nAnswer: 123135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11389 divided by -5?\nAnswer: 11389\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r - 5. Let p be t(6). Let z = -15 + p. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -101010001100111?\nAnswer: -101010001101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1314.77 and -0.121?\nAnswer: 1314.649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/8)\/(6\/(-8)). Let g be -1 + d - (4 + -4). Let p be ((-2)\/(-2))\/((-1)\/3). Is g less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1249\/27 + -1267\/27. Which is the closest to 1? (a) 6\/5 (b) 3 (c) y (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/142442 and -43\/141729790.\nAnswer: 141729790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -355830, -1, 1 in decreasing order.\nAnswer: 1, -1, -355830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -60016044 divided by 15004011\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(171)*2 + -2 + -4 + sqrt(171) + 1)**2 + 5.\nAnswer: -90*sqrt(19) + 1569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -7 + (-74)\/(-10) - 31329\/(-20). Let v = r - 1566. Calculate the common denominator of v and 9\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/30 - (-13)\/5. Suppose -2*l = 6*l - 3*l. Suppose 5*o = 4*d - l*d + 608, 0 = -4*o + z*d + 484. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 33*p**6\/2 - 142*p**3\/3 + 122. Find the third derivative of v(u) wrt u.\nAnswer: 5940*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 202787541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31616708 by -1.\nAnswer: -31616708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -24*d**2 + 37*d - 15. Let z(q) = 11*q**2 - 18*q + 7. Determine -6*y(j) - 13*z(j).\nAnswer: j**2 + 12*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7266264 (base 8) to base 7.\nAnswer: -22251035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15270719 + 5*x**3 - 15270719.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/48*64400\/(-119600)\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -6*z**2. Let b(q) be the first derivative of -132 + 0*q + 0*q**2 - 19\/3*q**3. Give t(b(h)).\nAnswer: -2166*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 529535 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 150, 303, 456, 609, 762, 915?\n\"Answer: 153*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 37*y - 4\/9*y**3 + 0 - 1\/36*y**4 + 3\/2*y**2. Suppose b(g) = 0. What is g?\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + (-203)\/(-70) + (-948310)\/(-100). What is y rounded to the nearest one hundred?\nAnswer: 9500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 35075630\nAnswer: -7\/17537815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 48, 109, 166, 219, 268, 313, 354?\n\"Answer: -2*x**2 + 67*x - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 7:19 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 756562389 to the power of 1\/3, to the nearest integer?\nAnswer: 911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 665.67*9213.\nAnswer: 6132817.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 1780262?\nAnswer: -1780267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-4) + 60\/80. Is -22*(3 + -3 - o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 3*t - 1044. Let v = t + 366. Is 24 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r**2 + r. Suppose -g = -1 - 2. Suppose g*k + 1 = 2*k. Calculate the remainder when h(k) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -85.519 to 0 dps.\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/4*217\/279?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -13.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 312 + 571?\nAnswer: 883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 1 + 5. Sort -1, 1, t in increasing order.\nAnswer: -1, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/216)\/(1*(-4)\/2). Let j(k) be the third derivative of 2*k**2 + 1\/270*k**5 + 0*k + 0*k**3 + o*k**4 + 0. Determine i so that j(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18193*q**2 - 2242*q**2 - 690*q**2 as y*q**2 + i + l*q and give y.\nAnswer: 15261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -13 + v**3 + 1 - 31*v - 12 + 26*v**2. Let q be x(-27). Let a be 45\/20*(-16)\/(-3). What is the greatest common factor of q and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/27 of a week in seconds?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*(-1 + 7 - -11). What is the highest common factor of 102 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 6. Suppose 0 = 4*u + u - 10, -u = -c - 2. Let i be c\/1*x\/4. Solve i = -0*k + 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**3 + 7*d**2 - 9. Let q be h(2). Let y(u) = u + 1. Let v(o) = -4*o + 3. Calculate q*y(m) + v(m).\nAnswer: -9*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.0508 and -0.5.\nAnswer: -0.5254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 3*q + 7, 2*q - 28 = -4*s - 2*q for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2410631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -8*o + 115. Calculate the remainder when 318 is divided by o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.2678989g?\nAnswer: 0.0000002678989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*v**3 + 180 - 180.\nAnswer: -152*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 21*m - 23. Is g(14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-15)*9*(-23)\/(-1656))\/(164\/10)?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -45, -78, -113, -150, -189, -230?\n\"Answer: -b**2 - 30*b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -1. Let c = -730093 + 730088. What is the smallest value in c, 34, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**3 - 22 + 32 - b**3 - 170 - b**3 in the form f + x*b + i*b**3 + d*b**2 and give f.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 2*f + 8 = 0. Let o(r) = r**3 + 1 + 3*r + f*r**2 - r**2 - 4*r. Let i be o(0). Solve 2*x + 5 = 2*z + x, 3*z = -5*x + i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w - 2. Let m be 6\/(-2) - (-1 - 0). Let c be (1*3)\/(m\/4). Let g be ((-12)\/(-9))\/((-4)\/c). Determine u(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2092 + 19283 = 15*i. Is i a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqllqclqcccc. What is prob of sequence lcq?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or -86.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*o - 0 - 1, -5*o = z + 45. Let n = o - -20. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q + 24. Let k be o(7). Suppose -32*j + 41*j = 9. Sort -1, k, 3, j in ascending order.\nAnswer: -1, j, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72078 is divided by 562?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 377 + -370. Suppose -f*h + 1082 = -5295. List the prime factors of h.\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-47)\/940)\/(1\/(-556)) - 33.\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v - 4. Let r be k(5). Let j = -243 + 245. Suppose 9*f - 10*f = j*d + 17, 3*f + d + 46 = 0. Which is greater: r or f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*(p*p\/(p\/(p*p\/(p*p\/(p\/(p\/p**0))))))\/p*p))**(-35))**32*((p**4\/p)\/(p\/p**(1\/6)))**(-39) assuming p is positive.\nAnswer: p**(2071\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-14 + 0 + (17 - (7 + 8)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1686343 (base 11) to base 6\nAnswer: 141212235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -57746 and -966?\nAnswer: 55782636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3 - 26 + 8 + r + 6 + 8. Let w(t) = -11*t + 1. What is 3*l(g) + w(g)?\nAnswer: -8*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, h: 1, g: 1}. What is prob of sequence gc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -209, -383, -555, -725?\nAnswer: -893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 0*r + 5*r + 3*r.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -5 (b) 8\/11 (c) 1 (d) 0.002\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -t**4 + 8*t**3\/3 + 2*t**2 - 8*t + 10. Solve x(k) = 0 for k.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -12208 less than or equal to -12208?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**3 - 175*o**2 + 3*o - 36. Let l(g) = 2*g**3 - 178*g**2 + 2*g - 30. Determine -6*l(m) + 5*t(m).\nAnswer: -2*m**3 + 193*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*(-3)\/(-6)*-64. Suppose p = 4*u - 12. What is the second derivative of -7*l + u*l**2 - 12*l + 3*l + 2*l wrt l?\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -533422 and -0.5.\nAnswer: -533422.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22644 and 37425636?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17715 and -0.18.\nAnswer: 3188.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -t**4\/12 + 14*t**2. Let s(j) = 33*j. Calculate o(s(y)).\nAnswer: -66*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 80308087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 e when two letters picked without replacement from vaaeeeeeeeebe?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - h**2 - 2*h - 2. Let n be (-6)\/4*(1 + -3). Let m be w(n). Suppose -3*s - m = -5*s. Solve s = 2*y - 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.1 (b) 2.2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 973 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/((-5)\/((-5)\/(-3))))\/((-34)\/(-119))\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2507 is divided by 791?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -v**3\/3 + 2*v**2 - 2. Let o be g(4). Solve o = -y - 3*y + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3 + sqrt(847)*1*-4)**2.\nAnswer: 616*sqrt(7) + 13601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(324)*3*-6 - sqrt(324)))\/((2*sqrt(64))\/sqrt(2)*4).\nAnswer: -513*sqrt(2)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1043 - 1039. Solve 0 = -s - 5*o + 16, -f*s - 9 - 2 = -5*o for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 + 369*d + 241. Let r(s) = 2*s**2 + 367*s + 200. What is 6*r(o) - 5*v(o)?\nAnswer: 2*o**2 + 357*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*u - 2156 = 0, 74*u + 10726 = 5*r + 76*u. Calculate the highest common divisor of 67 and r.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*(2 + (1 + sqrt(252) + 3)**2 + ((4*(1 + sqrt(252)))**2 - sqrt(252)) + -4) + 1)*2.\nAnswer: -258828 - 14040*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 - 79*k**3 + 155*k**2 - 77*k.\nAnswer: k*(k - 77)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 12:11 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5776286100?\nAnswer: 2, 3, 5, 13, 1481099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 567.6672 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 318*j + 77*j - 377*j.\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -38 + -8?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112 and 375970?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (44\/10 - 158\/395)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 5:35 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4*a + 3*g + 360015 = 0, 4*g + 360020 = 4*a. Round a to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**2 - u - 4. Let z(i) = 3*i - 4. Let d be z(2). What is the least common multiple of 18 and j(d)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.015 and 0.3.\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5108590 and 370.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/63 and 109\/315.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1383935?\nAnswer: 5, 7, 39541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - 619d?\nAnswer: -6196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = n - 2*n - 4*l, 3*l - 2 = -n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -3*g**4\/2 - 3825*g**3\/2 + 1558155*g**2\/2 + 6282225*g\/2 + 2360124 = 0.\nAnswer: -1599, -3, -1, 328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l - 1. Determine z(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -959, -962, -965, -968, -971?\n\"Answer: -3*d - 956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6618, 14181, 23628, 35901, 51942, 72693?\n\"Answer: 157*a**3 + 6464*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1567*w**5 - 12*w - 2?\nAnswer: -31340*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 428*q = 432*q. Let z(n) be the third derivative of -3\/40*n**6 - 9\/20*n**5 + 0*n - 1\/210*n**7 - n**2 + q*n**3 - 9\/8*n**4 + 0. Let z(s) = 0. What is s?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s**2. Let w(b) = -b**2. Let h(a) = -m(a) + 6*w(a). Let g(k) = k. Let u(v) = -2*v**2 - 3*v. Let q(n) = -3*g(n) - u(n). What is h(q(c))?\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 27*z. Let a(d) = -25*d**2. What is y(a(x))?\nAnswer: -675*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*17085\/(-901) + (-10)\/265?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62916 and 3381.\nAnswer: 1447068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/25, 8\/3, -3\/38 in decreasing order.\nAnswer: 8\/3, 1\/25, -3\/38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -8. Let t = 1820 - 1820. Suppose t = r + g*k - 2*k - 37, -3*r - k + 71 = 0. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3 - 6) + -3)*(-2)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 4*v = -v, 3*o + v = 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1228475 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/4569 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*s**3 - 7*s**2 - s + 7 wrt s.\nAnswer: -96*s - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 21 = -11. Let n = 1 - -3. Let u = w - n. Solve -3 = -u*b - 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.43088 from -64.\nAnswer: -64.43088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 33 = 5*n, -3*n = 5*u - 0*n + 38. Let x = u - -7. Solve x = 2*r + 2*r - 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/26, 38, 0.016, -0.3?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-2)*-1 + 3. Let f be -1 - (-8 - (5 - k)). Suppose z - w = f, z + 2*w - 12 = 3. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71309334?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -81 or -103?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**3 - 71785*j**2 + 649370*j + 41661400 = 0. Calculate j.\nAnswer: -14366, -20, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 64\/(-28) - -3. What is the closest to 0 in 0, -5, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a year in months?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 less than 0.01286?\nAnswer: 26.01286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -943 + 5*b**3 - 968 + b**2 + 1968 in the form l*b + v*b**3 + g*b**2 + x and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gzsl when four letters picked without replacement from esgslzge?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 8*t - 12. Let n be v(4). Put -1\/4, -5, n in descending order.\nAnswer: n, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**3 + 120190*u**2 + 722161600*u - 1444804000 = 0.\nAnswer: -12020, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-1 - (-13 - -12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 8*f**2 - 3*f + 3. What is the remainder when y(-7) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - -42164648895?\nAnswer: 42164648901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 8:47 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4232044?\nAnswer: 2, 1058011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of y**7\/210 + y**6\/18 - 13*y**5\/60 + 3*y**2. Let s(w) be the third derivative of g(w). Differentiate s(j) with respect to j.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59259*x = -59095*x. Suppose -32\/7*q**2 + x + 38\/7*q**3 - 8\/7*q - 10\/7*q**4 = 0. What is q?\nAnswer: -1\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 + 0.2. Suppose 3*z = -4*w - z + 8, w - 2*z = 8. Let s be (-5)\/(-8) + (-3)\/w. Which is the biggest value? (a) -1\/4 (b) j (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - -4 - 1)\/1. Let f be 5\/g*(-4)\/14. Suppose -s + 2*s + 1 = 0. Is f > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, y: 2, i: 4, e: 1, t: 4, u: 1}. What is prob of picking 3 g?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 221*z**2 - 4*z + 5. Let w be g(1). Let k = -22 + 25. Let n(b) = 11*b + 4. Let m be n(k). What is the highest common factor of w and m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 3812301.\nAnswer: -3812300.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -17 + -15 - -23 - (2 + -34).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/6383, 4\/11, 432, 2\/3?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 16*z = -11*z - 576, -z - 594 = 3*r. Let u = r - -298. Calculate the remainder when u is divided by 29.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (1 + -2 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1542426 is divided by 49753.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 33672741509 and 2.666.\nAnswer: 33672741511.666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1721235 or 2?\nAnswer: 1721235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 911 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100000 (base 2) to base 13.\nAnswer: -c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -46*h**2. Let r(l) = -6 + 7 - 1 - 2*l**2. Give r(k(i)).\nAnswer: -4232*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1872) + 0 - (sqrt(1872)*2 + -3 - sqrt(1872))) + 5 + 1*(sqrt(1872) + -4 + sqrt(1872))**2.\nAnswer: -180*sqrt(13) + 7512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5*d + 391 + 281, -3*d = 4*f - 2711. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -4 (b) 1 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 182, 369, 556, 743?\n\"Answer: 187*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 252 - 94. Let c = d + -99. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -6*n + 50 - 103 + 9*n**3 + 42 - 2*n - 9*n**2. Let h(q) = -3*q**3 + 3*q**2 + 3*q + 4. What is 3*c(d) + 8*h(d)?\nAnswer: 3*d**3 - 3*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(-24*m + 9*m + 2*m)*(m**3 - m**3 + m**3).\nAnswer: 26*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of q**4 + 2749*q**3 + 8659*q?\nAnswer: 12*q**2 + 16494*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - 3*sqrt(2))*-2 + 2.\nAnswer: 2 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 682149 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 490243423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**2. Let f(d) = -66*d + 8. Let i(r) = 525*r - 65. Let u(k) = -25*f(k) - 3*i(k). Let x(j) = 76*j - 6. Let y(g) = 5*u(g) - 4*x(g). What is y(n(z))?\nAnswer: -142*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 6*z + 11. Does 17 divide h(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -68*p + 66*p. Find the common denominator of (p\/(-3))\/((-156)\/1573) and -27\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d\/(d\/(d*d\/d**(-2)))*(d\/(d\/((d\/(d*d**(-10)))\/d)*d))\/d)**44 assuming d is positive.\nAnswer: d**572","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f + f - 3*f + (0*f + 0*f + f)*(-2 + 4 + 0) + (0 + 7 - 6)*(-6*f + 2*f - 2*f)*(1 + 3 - 6) - f - 1 + 1 to the form g + c*f and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 5*n - 3. Let t be g(6). Solve t*l + 12 = -0*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -582.01094 + 582. What is y rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 14 = -2*h, 5*k + 2*h - 1855 + 1820 = 0. Let q(t) be the first derivative of -15\/4*t**4 + 3*t + 15\/2*t**2 + k - t**3. Factor q(f).\nAnswer: -3*(f - 1)*(f + 1)*(5*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -96.1 + 4.7. Let z = -51.7 - p. What is z rounded to zero decimal places?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1\/4, 3, 3\/19 in increasing order.\nAnswer: -0.5, -1\/4, 3\/19, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -8187208?\nAnswer: -818720a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11451 rounded to three dps?\nAnswer: 0.115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 132 + -133.66. Let p = d + -0.24. Let j = p + 2.8. What is j rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-33)*1)\/(63\/(66150\/(-35))).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 - 7*a**2 - 9569458*a + 7*a**2.\nAnswer: a**2 - 9569458*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18332 is divided by 2197.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4514, -3, -5, 0.\nAnswer: -5, -3, -1, 0, 4514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 254390 to the nearest 10000.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9ef0 (base 16) to base 3\nAnswer: 2001210222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -85 - (54 + (-160 - -87))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5414 (base 7) to base 11.\nAnswer: -1498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.19 + -0.09. Let q(t) = 19*t**2 - 133*t. Let u be q(7). Do p and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**3\/5 + 33*w**2\/5 + 57*w\/5 + 27\/5 = 0.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1740830820 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1*s)**28*(s\/(s**3*s))\/(s*s*s**(-1)) assuming s is positive.\nAnswer: s**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1469471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(1152) - (sqrt(1152) - -1*sqrt(1152))).\nAnswer: -sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 1 = -9. Suppose -18 = -3*u - 3*h, -4*h + y = -2*u - 2*h. Suppose -49 = -2*q + m, -u*q - 1 + 65 = 2*m. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -3*o**3\/2 - 278*o. Give t(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007298938885 rounded to five dps?\nAnswer: 0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 2*z - 2. Let u(v) = -6*v**2 - 11*v + 11. Let j(n) = -n**3 - 8*n**2 - 7*n - 3. Let g be j(-6). Give g*o(p) - 6*u(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 65 = 2*r, -r - 2*r - 2*s + 104 = -0*r for r.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 524889998 to the nearest integer?\nAnswer: 22910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 25*r**4\/12 - 5*r**3\/6 + 2*r**2 + r. Let m(f) = 2*f**3 - 18*f**2 + 11*f + 42. Let c be m(8). List the prime factors of o(c).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -0.6 (b) -2 (c) -0.1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1888 + -1879. Let y(d) be the third derivative of 0*d - u*d**2 + 0 - 1\/24*d**6 - 5\/6*d**3 + 5\/24*d**4 + 1\/12*d**5. Determine s, given that y(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -55 - 102*25\/(-50)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 53*q + 301. Let y be u(56). Calculate the highest common divisor of 1 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 + 1 - 1 - 28435 + 28435 - 1021*n**2 + (3*n - n - n)*(-n + n - n))*(4*n - 5*n - n)*(0 + 0 - 2*n).\nAnswer: -4084*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4*y + 161 = 0, -3*a + 4*y = -2*a - 27. What is the remainder when 139 is divided by a?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5 + 1 = 0. Let p = b + 7. What is the greatest common divisor of p and 90?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 913969 divided by 130567?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 6*a - 60 = 0. Solve 2*v + a = -3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/15)\/l)\/l**(-1)*(l**(1\/5))**(-19\/2) assuming l is positive.\nAnswer: l**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 7*s**3 + s. Let z(i) = -57*i**3 - 9*i. Let d(o) = 33*j(o) + 4*z(o). Factor d(b).\nAnswer: 3*b*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, a: 2, g: 2, m: 1, n: 7, k: 1}. Give prob of sequence aan.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -719*x**4\/6 - 13481*x. Let h(t) = 12*t**2. What is h(n(j))?\nAnswer: 24814128*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/5 - 20809*z**2\/5 - 21648643*z + 21652805.\nAnswer: -(z - 1)*(z + 10405)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 5*f**2 + f - 7. Let t = -198 - -216. Suppose -93*d + t = -96*d. What is j(d)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178457423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -265 + 268. Determine p so that -79*p - 20*p**u - 5*p**2 + 83*p + 21*p**3 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 167161941 and 129.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.5 - -568.9.\nAnswer: 571.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -23322 (base 4) in base 3?\nAnswer: -1001020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -75 + 108. What is the common denominator of ((-310)\/(-16) - 6)*(-6)\/(-9) and 187\/c*(-3)\/14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2061 - a**3 - 336 + 1864 + 2*a**3 - 348 to m + u*a + z*a**3 + f*a**2 and give m.\nAnswer: 3241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.9 + -5.5. Let q = 14 - 13.4. Let n = m + q. What is the nearest to 0 in n, -2\/3, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5103) - ((sqrt(5103) - (sqrt(5103)*1 - sqrt(5103))) + sqrt(5103))) + (sqrt(756)*2)\/sqrt(12))*-6)\/(4*(6*sqrt(567))\/sqrt(7)).\nAnswer: 7*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -4 (c) 10.8 (d) 2 (e) 1\/3 (f) 8 (g) 0.52\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 208 - 208.0000107. What is y rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 35542140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 803579*s**2 + 11 - 803581*s**2 + 146*s - 47*s - 99*s.\nAnswer: -2*s**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -32213231?\nAnswer: -32213221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 138 - 106. Let k be ((-6)\/(-4))\/(24\/y). Suppose 3 = -j + 2*j, -k*w - 2*j + 230 = 0. What is the greatest common factor of w and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 889092933 divided by -1?\nAnswer: -889092933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 9, -8 in ascending order.\nAnswer: -8, -5, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 421.9 + -401. Let k = -21 + z. Let g be 1\/(-2)*(0 - -2). What is the smallest value in k, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 50.70873 litres?\nAnswer: 50708.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 8:30 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 - -28. Let w(v) = -v**3 + 9*v**2 - 2*v - 6. What are the prime factors of w(x)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31\/4 - 3. Suppose 3*y - 8*y = -20. Is y at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14972209 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27\/2 of a day?\nAnswer: 19440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 26.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143 (base 10) to base 14.\nAnswer: -a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-18)\/(-27))\/((-2)\/(-372)*4). Suppose 3*l - t = -4*n + 2*l, 5*n = l + 32. Solve 4*o = -5 - n for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103723?\nAnswer: 103723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o - 42. Let z be s(-47). Let b be (1\/(-2))\/(10\/(-40)). Solve 0 = 5*a - z, 0*l - b = l + a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52 + -49.1. Let x be -20 + 54 - 5*95\/25. Which is bigger: q or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a - 6. Let j be z(-8). Let o(l) = 2*l**2 + 3*l - 3. Let g be o(-3). Find the third derivative of -3*r**j + 3*r**g + 0*r**2 + 2*r**6 wrt r.\nAnswer: 600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9503752 divided by 1?\nAnswer: 9503752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and 1058474340646?\nAnswer: 1058474340651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 16*l**2 + 21*l - 16. Give b(17).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000025 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 101773 and 187327.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -6, -32, 10 in descending order.\nAnswer: 10, 3, -5, -6, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -5. Suppose h*u - 2*m = 2*u + 8, -4*m - 16 = 4*u. Let x be (-2)\/10 - 2\/(-10). Solve 2*b + x*b + 8 = u for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.6397 decades to months.\nAnswer: 4276.764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**6\/360 - h**4\/12 - 2*h. Let y(m) be the third derivative of k(m). Let g(o) = -2*o. Give y(g(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1387 + -1345. What is the highest common factor of 10 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 143805?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 5*p + 3*p)*(-2 + 1 - 1 + (0 - 2 + 1)*(1 - 4 + 2) + 0 - 1 - 1).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -6*i - 8. Let n be a(-6). Let j be (-33)\/(-6) + (-2)\/(-4). Let b be (-6*(-4)\/j)\/1. Calculate the greatest common divisor of n and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1\/y)**15\/(y\/(y\/y**(-1\/2)))**(-2\/51)*(y\/(y\/(y**(-2\/7)\/y*y)*y)*(y**(1\/8)\/y)\/y*y)**32 assuming y is positive.\nAnswer: y**(-24691\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 57 (b) 1.8 (c) -1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -209*x**3 + 902*x - 27 + 27 - 914*x as f + g*x**3 + k*x**2 + q*x and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 1 - 2 + 5*b**2 - 2 + 6*b + 0 - 6*b**2. Suppose 0*m - 2 = -s + m, -4*m + 32 = 4*s. Determine c(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12337 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 20*q - 11. Let c be b(5). Let d = -11 + c. Let h be d - (-1)\/1*2. What is the highest common divisor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, q: 1}. What is prob of picking 2 i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**5\/140 - 3*n**4\/28 - 5*n**3\/14 + n**2 - 29*n - 28. Let f(p) be the second derivative of s(p). Factor f(v).\nAnswer: -3*(v + 1)*(v + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**2 + z**3 + 2*z**2 - z**3 + z**3 + 2*z**3 + (-2*z - z + 4*z)*(0 + 0 - z**2) + (-1 + 5 - 2)*(-294*z**3 - 257*z**3 + 1076*z**3).\nAnswer: 1052*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.53867 centuries to decades.\nAnswer: 615.3867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + sqrt(132)*3*1 - 4*sqrt(132)*4)\/((sqrt(72)*1*-1)\/(1*sqrt(18)\/sqrt(3))).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 160, -4\/5, -3, 5\/7 in ascending order.\nAnswer: -3, -4\/5, -1\/4, 5\/7, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.568 + -2.77. Let g = 2.962 + -3. Let m = t + g. Round m to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 149 + -126. Suppose 0 = -4*a + h*t - 18*t + 136, 0 = -a - t + 43. Calculate the least common multiple of 9 and a.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 8*l**3 - 12*l**2 - 18*l - 8. Let d(j) = -j**3 + j**2 + j + 4. Let b(r) = 6*d(r) + k(r). Factor b(f).\nAnswer: 2*(f - 4)*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*g + 1, 2*d - 30 = 2*g. What is the greatest common divisor of 65 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-5)\/3*(-3)\/1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 - 9*c + 16. Let q be l(6). Differentiate -9*r + 0*r - 28 + q - r wrt r.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 7:25 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gtgggtgtgggg. Give prob of sequence gt.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31*b**3 - 41 + 12*b**4 - 16*b**3 - 14*b**3 - 119 wrt b?\nAnswer: 48*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 7, 5, -6 in ascending order.\nAnswer: -6, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (510\/408)\/(1\/(-8)) + (-3036)\/(-303)?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3214 <= -3276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (95\/(-120))\/(-1) - 5\/40. Let u(d) be the second derivative of 0 - 7\/15*d**6 + 0*d**3 + 0*d**2 + l*d**4 + 6\/5*d**5 + 2*d. Find y such that u(y) = 0.\nAnswer: -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/23, -3\/467, 6, -7.\nAnswer: -7, -2\/23, -3\/467, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 15a7de?\nAnswer: -15a7e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s. Suppose 0 = 3*m - 6*m + 9. Let i be (-57)\/12 - m\/(-4). Give u(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115818743.\nAnswer: 149, 157, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2750\/99 - -22) + 6. Is h <= 56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22.72 * -1\nAnswer: -22.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1073\/261 + (-2)\/18. Solve 0 = z + y - 9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 201664 divided by -1\nAnswer: -201664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1409 + -827. Find the common denominator of 23\/8 and 2\/(-10) - (f\/(-210) + -5).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*-66007.\nAnswer: 990105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 8. Let u = -35 - -32. What is the fourth biggest value in u, 1, 0.04, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 8, -41, -0.1, -15\/13, 1\/9, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6570 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4704 divided by 16.\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**24\/g**(-20))\/(g\/(g\/(g*g**(-8\/3))))**(33\/2) assuming g is positive.\nAnswer: g**(143\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3\/2 + 126*q**2 - 735*q\/2 + 243.\nAnswer: -3*(q - 81)*(q - 2)*(q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 60 * -119\nAnswer: -7140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, -5\/2, -0.2, -0.14, -1\/2, -0.02, -6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(1088) - (sqrt(1088) + 1)) + 1 + sqrt(1088) - (sqrt(1088)*2 + 5)**2)*4.\nAnswer: -17511 - 608*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -113*r + 13. Let g(w) = -w**2 + 12*w - 11. Let k be g(11). Suppose u - 3*u + 22 = k. Let z be b(u). What is z rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**2 + 3*n + n**3 + 4 + 0 - 3. Let f be y(-3). Let j = -55.61 - -52.61. Which is the nearest to -2\/7? (a) 3 (b) j (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -m**4\/24 - m**3\/2 + 23*m**2. Let p(y) = -6*y - 16. Let u be (-48)\/(-3) + 1 + -1. What is u*f(v) - 3*p(v)?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 h, 1 j, and 1 s when four letters picked without replacement from {j: 2, h: 1, s: 1, r: 4, y: 5, t: 2}.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1334111 (base 5) in base 2?\nAnswer: -110101100001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 663 and 1512966.\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 405*i - 198*i - 191*i.\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*r + r + 2 = 0, 3 = 3*r. Let t = b + -2. List the prime factors of (-2*t)\/(4\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 9:47 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j + 5. Let x be q(3). Suppose -x*p - 4 = -2*i, -3*i + 2*p + 30 = 5*p. Let w = 528 - 525. Sort i, w, -3 in decreasing order.\nAnswer: i, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 1:34 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -742492.559973 + 742493. Let r = 11 + -11.44. Let q = r + l. What is q rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3 + 0 = 0. Let z be ((-14)\/(-105)*10)\/((-1)\/3). Sort z, r, -2, -3 in ascending order.\nAnswer: z, -3, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -902*f - 146. Calculate the smallest common multiple of s(-2) and 6.\nAnswer: 4974","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**3 + 39*q**2 + 2*q - 544. Let c(i) = -7*i**3 - 156*i**2 - 9*i + 2176. Let u(p) = 2*c(p) + 9*k(p). Differentiate u(v) with respect to v.\nAnswer: 12*v**2 + 78*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - ((0 - -10) + (-5 - 4))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/20 + -1\/60. Let s(v) be the third derivative of 0*v - i*v**5 + 0 - 2\/15*v**4 - 1\/300*v**6 - 4\/15*v**3 - v**2. Factor s(r).\nAnswer: -2*(r + 1)*(r + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*w, -2 = d - 3*w - 9 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 s when three letters picked without replacement from {s: 6, e: 1, t: 1, r: 9, o: 2, v: 1}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -7\/2 (c) -2.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 11*x + 265 = 5*f, -4*x = -2*f - 242. Let h = x + -59. Let l(o) = 9*o**3 - 12*o**2. Let a(u) = -u**2. Give h*l(w) + 12*a(w).\nAnswer: -9*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 15. Suppose j = -0*j + z. Determine a so that -78 - 3*a**4 - 12*a**2 + 78 - 12*a**j = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1297 + -422.1297. Let g = n - -452. Let o = -0.5 + -3.5. What is the third smallest value in o, g, -2\/17?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 5*v**2 + 3*v - 1. Let c be p(-6). Let l = -34 - -35. Let d = l + c. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2985 in -1.18, -1\/2, 10?\nAnswer: -1.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -31833 + -17?\nAnswer: -3184a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/22 and -29\/1799026.\nAnswer: 19789286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1906637 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -1) + 0\/5. Let z be (2 + o)\/(0 - -2). Let a(i) = i + 2 + z*i + i. What is a(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*s + 93557 + 90146. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-98 - 5*u + 47 + 45)*(7 - 14 - 7).\nAnswer: 70*u + 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18*1\/12)\/(2\/(-4)). Sort -5, 0, k, -19 in decreasing order.\nAnswer: 0, k, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(195) - sqrt(195)*2 - sqrt(195))*5)\/sqrt(5))\/(-1*sqrt(192)).\nAnswer: 5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -709, -1421, -2137, -2857, -3581?\nAnswer: -4309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 31 = t, 3*l = -0*l - 9. Let u be 2 - (3 + -1) - -10. Suppose -v + u + 2 = 0. Calculate the remainder when t is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-28)\/200*5)\/(21\/(-45)))\/(0 + -2).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y**4 - y**2 - 747 - 2*y + 741 - 7*y**3 + 11*y**3 as u*y + o*y**3 + f + w*y**2 + b*y**4 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -208 + 216. What is the remainder when 17 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2132222 (base 5) in base 11?\nAnswer: 25519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -36*c - 6. Let q(v) = -7*v - 1. Give 4*j(s) - 21*q(s).\nAnswer: 3*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 + -75. Suppose -25*m - 3*f + 84 = -28*m, 3*m - 5*f = -92. Is a at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - -11. Suppose 0*t + 4*t = 8. Calculate the highest common factor of f and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 51740\/(-4225) + ((-6)\/5)\/2. Let k = -1421\/143 - g. Determine c so that -80\/11*c**3 + 0*c - k*c**2 - 6\/11*c**5 + 0 + 46\/11*c**4 = 0.\nAnswer: -1\/3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-30)\/8) - 3486\/2905?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.9272 + -1.72526. Round o to 2 dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**3 + n**4 + 2*n**3 + n**3 + (0*n**2 + n**2 - 3*n**2)*(-6*n**2 - 6*n + 6*n).\nAnswer: 13*n**4 + 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1935.4 + 577\nAnswer: -1358.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 1:46 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*n*p*x + 53182644*n*p + n*x**2 - 89219*p*x**2 wrt x?\nAnswer: -6*n*p + 2*n*x - 178438*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/4 - 1468\/292. Do -1 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -32*r + 899987 - 32*r - 903455 wrt r?\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 5, 12.\nAnswer: -2, 2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 1 + 4*d**2 + 0*d**2 + 5 in the form o*d + f + m*d**2 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -5. What is the units digit of (2 - 3 - f)*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -30 + 1955*d - 1890*d - 66 + 9 - 13. What is the remainder when 88 is divided by u(2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, m: 14}. What is prob of sequence mmm?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -721.142649 rounded to 1 decimal place?\nAnswer: -721.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (241 - 255) + 8*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*u - 18, -11 = -3*u + 4*q + 6. Let n(b) = 1. Let t(l) = -13*l - 16. Let s(a) = 17*a + 17. Let k(w) = 4*s(w) + 5*t(w). Give u*k(p) - 12*n(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00776 to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 2081389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 701338?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*c - 2 = 0, 8 = 5*a - 0*a - c. Is a > 2\/1737?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/170*-4*(-40)\/16?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 309.6908 to one dp.\nAnswer: 309.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-6) + 165\/(-9). Let o(v) = v**3 + 2*v**2 - 2*v + 2. Let a be (-1)\/3*2*6. Let w(l) = -4*l**3 - 9*l**2 + 9*l - 9. Give a*w(u) + i*o(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44950, 45095, 45324, 45637, 46034?\nAnswer: 46515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*z - 0*g + 5*g, 0 = -3*z + 2*g + 47. Solve 3*p - 2*o - 3 = -5*o, -5*o = -5*p + z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1382?\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 1137932\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u - 66 = 19*u. Let m = u + 71. Suppose -11\/4*f**3 + 3\/8*f - 5\/8*f**m - 1\/4 + f**2 + 9\/4*f**4 = 0. Calculate f.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 648 and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 8*g + g**3 + 0*g**2 + g**2 - 9*g**4 + 7*g to the form r*g**2 + o*g**3 + j*g**4 + t + s*g and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 17*b**2. Let m(l) = -3*l**2 + 7*l**2 - l**2 - 2*l**2. What is m(a(f))?\nAnswer: 289*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence txp when three letters picked without replacement from xktafapttfxfxftfa.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/1452 and 71\/117744.\nAnswer: 1295184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -35253, -70417, -105413, -140157, -174565, -208553, -242037?\n\"Answer: 14*v**3 - 35262*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*m = 118 + 36, -22 = -x + 4*m. Suppose 5*i = 4*t - 77, 0 = 3*t + 2*i + 2*i - 50. Differentiate -6 + t + x + 23*p - 4 wrt p.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154394 and 40356.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2342789989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -498*g**2 + 24*g - 5. Let d(m) = -5*m - 166 + 99*m**2 + 80 + 87. Let w(t) = 11*d(t) + 2*v(t). What is the second derivative of w(c) wrt c?\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-7 - -3) + 3)*-3. Suppose 0*y + 2*p = -n*y + 22, 5*p = -y + 16. Solve -y*i = -i - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 1\/7 (b) -117 (c) -17\/300\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.78 - -68002445404.\nAnswer: 68002445405.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.3, -1851, -6\/11.\nAnswer: -1851, -6\/11, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 373019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -7*s**2 - 15*s + 33. Let i be o(3). Let d be 270\/i*(-5)\/21. Solve d - 1\/7*t**2 + 1\/7*t = 0 for t.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -81*o + 0 + 0*o**3 + 0*o**4 - 1\/28*o**7 + 0*o**2 - 3\/10*o**6 - 3\/5*o**5. Solve p(y) = 0.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 6574?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 35*l - 9 = -34*l, 0 = 2*l + 10. Is u less than 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*g + 36*g - 15*g - 10*g - 8*g.\nAnswer: -22*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1006172 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/5))**22\/(l\/(l*l\/l**(-2\/5))*l**4) assuming l is positive.\nAnswer: l**(141\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10, 14458\/85, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (22 - (4 + -5)). What is the highest common divisor of 66 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4011 + 303?\nAnswer: 4314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2562)\/122 + (-4935)\/(-135))*-9.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078442272 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 917111 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -154, -0.4, 0 in descending order.\nAnswer: 0, -0.4, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 30020424 (base 5) to base 7\nAnswer: 2001200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 - -441032?\nAnswer: 441051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2136533.\nAnswer: 7, 305219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8799573 and 1343.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63216 and 2178?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s - 3 + 4 - 7.\nAnswer: -10*s - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -7*x**3 + 11*x**2\/2 + 15*x. Differentiate c(w) with respect to w.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -270 bigger than -1085\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -8?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 1281.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 19*a**3\/3 - a**2 + 2*a + 7. Does 8 divide p(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5811131 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21.6 - 0.4. Let h = -22.5 - a. Let t be (-18)\/12*-2*1. What is the biggest value in t, h, -1\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**5\/60 + 13*l**4\/8 - 112*l**3\/3 - 2359*l**2 - 2. Suppose a(q) = 0. Calculate q.\nAnswer: 7, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**3)**(-18)*f**(4\/11)\/f**(-7) assuming f is positive.\nAnswer: f**(477\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 520 by -40.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of n**4\/12 - 2*n**3\/3 + n. Let d = 51581 - 51576. Give s(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1501 smaller than -1502?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2843219173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/(-2) + (-12 - -9) + -4. Let y = 12 - w. What is the highest common divisor of 44 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 6 = 3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*m - 2. Let j = 1.226 - 2.226. Put 1, m, -4, j in ascending order.\nAnswer: -4, m, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 20 + 0 = 0. Suppose -3*n = f*z - 90, -4*n = -0*z + z - 18. Calculate the remainder when 34 is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83 - 1640 - 851 + 290 - 228 - 1612)*(-14*p - 52 + 52).\nAnswer: 57736*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4670726 and 7.\nAnswer: 32695082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4121093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54161 - 142*w**2 - 54161.\nAnswer: -142*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2)*q**(10\/7)*q*q**(2\/11)\/q**13 assuming q is positive.\nAnswer: q**(-954\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1416885.04 rounded to the nearest ten thousand?\nAnswer: -1420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 9*d**2 - 5*d - 8. Let v(p) = 5*p**2 - 2*p - 4. Suppose 0 = -3*r + 15, 2*r = -c - 2*c - 2*c. What is c*j(f) + 5*v(f)?\nAnswer: 7*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1716, 2288, 2860?\n\"Answer: 572*p + 1144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 175\/7524 and 117\/10.\nAnswer: 37620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - 4*sqrt(130)\/sqrt(10))*2.\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**4\/3 - 11*s**3\/3 - 19*s**2\/3 - 3*s = 0.\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3561, 7109, 10649, 14175, 17681, 21161?\n\"Answer: -b**3 + 2*b**2 + 3549*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 n when three letters picked without replacement from {t: 3, l: 10, c: 1, g: 1, n: 2}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 2*t**2 + 1. Let h be f(3). Let i(o) = o**2 + 8*o - 9. Let j be i(h). Let x = j + 17. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 50\nAnswer: -9\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (-4)\/(12\/(-9)). Suppose -3*t = -u - 36. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -9 + 22748\/60 + 2\/(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 558 greater than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = 3*i - 2*i. Suppose 0 = 6*o - 182 + 1046. Let p = i - o. Solve -3*v = 3*k - 15, v + p = 3*k - 2*v for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -0.125, -0.2, -9.6, 0.2, 4 in descending order.\nAnswer: 25, 4, 0.2, -0.125, -0.2, -9.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 11*y**2 - 20*y - 96. Let c be i(-10). Solve 3*u = s + c*s - 29, 0 = -s + 5*u + 19 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i - 548. Determine d(27).\nAnswer: -494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 2*j**6\/3 - 28*j**5 + 355*j**4 - 1300*j**3\/3 - 13520*j**2 - 35152*j + 178. Find m such that w(m) = 0.\nAnswer: -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 10 + 2. Find the third derivative of 9*y**2 - 15*y**2 - y**3 + 6*y**p wrt y.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -d**3\/3 + 3*d**2 + 61*d - 2. Let p be s(11). Solve i = 4 - p for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21111 (base 4) to base 15\nAnswer: -29c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = -p + 4*z - 3, 3*p - 36 = 3*z. Let c = 35 - p. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1148 divide 34690264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 129629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**8*(o\/(o\/((((o*((o\/(o*o\/((o\/(o\/(o**(3\/5)\/o)*o))\/o)*o))\/o)\/o)\/o)\/o)\/o)))\/o*(o**(4\/3)\/o)\/((o\/((o*o**9)\/o))\/o) assuming o is positive.\nAnswer: o**(119\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 4*l + 40, g - 14*l + 10 = -10*l for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -146 - -99. Let y = 47 + q. Which is the closest to -4? (a) y (b) 5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 + 25*b + 6 - 24 - 17 + 2 in the form k + n*b and give n.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31687 - -996. Is s a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 16) in base 14?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 53932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 6*k + 19. Let r(f) = f**3 - 16*f**2 + 10. Let x be r(16). Suppose -1 = 3*a - x. Calculate the lowest common multiple of 7 and z(a).\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = 15*l - 50. Let q(k) = k**2 - 5*k - 34. Let x(m) = -7*m**3 - 2*m + 1. Calculate the remainder when x(-2) is divided by q(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 + 10 - 7)*(f - 2*f + 0*f) + 4*f - 13*f + 8*f + 14 in the form g*f + v and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-5)*(-9 - -5). Let p = 0.01 + -0.21. Sort k, p, -5\/2 in ascending order.\nAnswer: -5\/2, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45610 - -45613. Sort 1, -2, -5, k, 10 in decreasing order.\nAnswer: 10, k, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2324\/8 + (-1)\/(-2). Suppose 0 = 4*d + 5*m - o, 4*m - 104 = -3*d + 113. Suppose 2*g = 4*f - 74, -4*f = -3*g - 0*g - d. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1409 + 52?\nAnswer: -1357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -0.12558?\nAnswer: -0.12558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*z - 2*z + 286. Let i(j) = j + 1. Let y be i(1). Suppose -350 = -y*a - z. What are the prime factors of a?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 514 = -28*f - 2*v + 678, -4*f + 16 = 4*v for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3243166?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/3 + 2858*o\/15 - 572\/15.\nAnswer: 2*(o + 286)*(5*o - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92 + 194 - 1043 - 390)*(3*c + 3 - 3).\nAnswer: -3441*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6526 + 6528. Let b(r) be the first derivative of 13 - 98\/9*r + 14\/9*r**k - 2\/27*r**3. Solve b(a) = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 8:12 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2839\/2 + 1417. Which is the fourth biggest value? (a) -3 (b) -0.18 (c) -0.4 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b = -7*b - 456. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -1. Suppose y*p - 921 = -p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-31 - 15 - 1 - 1)*(4*w**2 - 45*w + 45*w) as h*w + i + g*w**2 and give g.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1035676 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12388159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -364320 divided by 5280?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -11*c - 54 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -5. Let q be 20 + -2 - (2 - 0). Suppose 0 = r + 3*r - q. What is the greatest common divisor of z and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/1733047 and 53\/7.\nAnswer: 12131329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + -1)*1 + sqrt(68) + 1 + (sqrt(68) - (0 + sqrt(68))**2) - (6*(-1*sqrt(68) + -5))**2.\nAnswer: -3416 - 714*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8971*b**3*p - 31157*b**3 wrt p?\nAnswer: 8971*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26491887557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 7598390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 + 1176474*h - 1176472.\nAnswer: -2*(h - 588236)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8437 + 722a?\nAnswer: -1209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4*c - 1506, c - 3*c = -v + 751. Let r be 2\/(-3) - c\/24. Calculate the greatest common divisor of r and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -f**5\/20 + f**4 - 8*f**3 + 32*f**2 - 64*f - 223. Solve l(w) = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44*h**3*z - 8*h**3 + 1673*h**2*z + 4*h**2 - 2*h*z - 123*h + 43046*z + 1 wrt h?\nAnswer: -264*h*z - 48*h + 3346*z + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -4098\/3665 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04 + -0.06. Suppose 53*p + 265 - 53 = 0. What is the biggest value in r, -0.3, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}