diff --git "a/data/dm_maths/full_data_1/11039_11255.jsonl" "b/data/dm_maths/full_data_1/11039_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11039_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Expand (16*k**3 - 3*k**2 - k**2 - 17*k**3)*(18 - 36 + 35).\nAnswer: -17*k**3 - 68*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and 0.02677913440889.\nAnswer: 4.02677913440889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.606692655 + 26.\nAnswer: 29.606692655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2611843\/64 - 40811. What is the common denominator of 87\/44 and j?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 643788\/55 + -11704. What is the common denominator of g and 4\/6 - (-591)\/450?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (8 - 0))\/(1 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -51?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 14 = u, 5*u + 57 = 3*v + 61 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -202*r + 1303. What is the remainder when q(6) is divided by 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 20*q**2 + 17*q - 42. Let c be s(2). Let g be (-80)\/(-2)*18\/4. Calculate the greatest common divisor of c and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.110262 * 0.05\nAnswer: -0.0055131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 205*v**2 + 5*v**6 - 12*v**6 - 211*v**2 wrt v?\nAnswer: -840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59848.4 or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**4 - 144*k**3 + 2*k**4 + 2*k + 8*k**2 + 154*k**3 = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*m = -487, 3*d - 2*d + m - 99 = 0. Suppose 130*c - 122 = 1698. What is the highest common divisor of c and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 281996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4874 - -773. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193 - 1 + 3*m - 3 + 195.\nAnswer: 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -32d829 (base 14) in base 12?\nAnswer: -6b3911","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12020, -24012, -35978, -47918?\nAnswer: -59832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -10*d**2 - 18*d + 34. Let y(i) = 4*i**2 + 6*i - 12. Let a(f) = -3*c(f) - 8*y(f). Let w(k) = -5*k**2 + 13*k - 13. Calculate 9*a(z) - 4*w(z).\nAnswer: 2*z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6752 and 88?\nAnswer: 74272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -110 <= -114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**2 + 812*n - 3184 = 0 for n.\nAnswer: 4, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -10*d + 3579. Is 360 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.8 * -1217\nAnswer: 13143.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 11, c: 9}. What is prob of sequence cci?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + -3 + (334 - 11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-10))\/(-2) - (4\/40 - 0).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*t**3 - 614*t**2 + 631*t**2 - 43*t**3.\nAnswer: 14*t**3 + 17*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, z: 5, j: 2, b: 4}. Give prob of picking 3 z and 1 b.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396335213.\nAnswer: 3931, 100823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34187210?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 + 36. What is the least common multiple of 20 and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1699 - -2891. Let k = -544 + l. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.436 - 0.564. Let d be -10*(-1)\/4 + -1. Which is the closest to 0? (a) k (b) 0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*m + 2*d + 1, m - 7 = -d. Calculate the common denominator of 31\/15 and (-93)\/(-36)*2 + (-3)\/m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/15921 and -11\/580?\nAnswer: 318420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2341 + 2285 = c, 0 = 3*a + 5*c + 126. Let f = -5 + 7. Sort f, a, 5.\nAnswer: a, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 25, 68, 139, 244?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26593836 by -8864612.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15765921 to the nearest integer?\nAnswer: 3971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a hour in seconds?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -k**8\/168 - k**5\/30 - k**2 + 1. Let m(a) be the second derivative of g(a). What is the third derivative of m(l) wrt l?\nAnswer: -120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*j**2 + 27 - 10 - 17.\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -282711 - 1?\nAnswer: -282712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3673 + -127. Let b = c - -2570. Round b to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 200083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -482 + 563. Calculate the highest common factor of o and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)\/(sqrt(11)*-2))\/(sqrt(18)\/sqrt(36)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/22 and (-16542)\/(-2332) + -2 + -2 + 3 + -6.\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132 = -28*o - 38*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*m + 324, 4*m - 273 = -0*m + 3*u. Let q be (274\/(-6))\/((66\/(-18))\/11). Let x = q - 49. What is the highest common divisor of m and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 51*u**2 - 398*u - 2333. What is o(-43)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2640038*z + 12. Let f be a(-3). Let w = -15820102 - f. What is w rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4241133, 8482453, 12723773, 16965093?\n\"Answer: 4241320*c - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -14, 1, 4, 21 in decreasing order.\nAnswer: 21, 4, 1, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + c - 5 = 9, -5*c = q - 30. Calculate the remainder when 306 is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (182*j + 2874*j**4 - 182*j - 283*j**4)*(3*j - j - 4*j).\nAnswer: -5182*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fofkoufufkuffuffffo. Give prob of sequence kok.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 106736, 106741, 106746, 106751, 106756?\n\"Answer: 5*p + 106731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence no when two letters picked without replacement from {n: 2, o: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - (-105)\/9)*33. Suppose v = 7*i - 96. What is the smallest common multiple of 16 and i?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 292\/33, -11, -4\/25?\nAnswer: 292\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 19. Which is bigger: 4\/21 or c?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*h - 26*h - 5*i = 9, 2*h - 5 = 3*i. Is 2\/25189 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n**3*r**2 + 2*n**3*x + 11*n**3 - 44*n**2*r + 2*n**2 + 8028*n*r**2*x + 2*r*x wrt x.\nAnswer: 2*n**3 + 8028*n*r**2 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27795 and 255?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17081 + 4688. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.72 - -0.28. Let p = -0.5 - x. Round p to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -11. Let w = c + 6. Suppose w*q - 24 = 2. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1840088099?\nAnswer: 103, 17864933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1699\/319 - ((-6164)\/253 - -24). Is v <= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/6 + 3\/2. Which is smaller: -1\/45 or v?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and -113731673?\nAnswer: 113731671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2216, -2208, -2186, -2144, -2076, -1976, -1838, -1656?\nAnswer: -1424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2a (base 11) to base 13\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 42 = 38. Let q(t) = -4 + 0 + 1 + t + 2. Let i be q(4). Solve 2*h + 3 = n, -i*n + l*h = -n - 8 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1396.7215 to the nearest 10.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/2232)\/(2\/(-6))?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -50, -151, -342, -653, -1114, -1755?\nAnswer: -2606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2717740 and 320?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 23.637597 - 1.111\nAnswer: 22.526597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2197 + -2173. Suppose -3 = c, -4*v + 85 + 191 = 4*c. Suppose -12*z = -v + g. Solve -2*u - 6 = -3*q, -z*q - 2*u = -5*q + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 2*u - 10. Suppose 4*v = u*h - 6, -4*h - 4*v - 24 = -0*h. Is h\/(-8) + (-681)\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123150 at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 189733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 5:18 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4*n - 9. Is l(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13762007 to the nearest integer?\nAnswer: 3710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u*u**(-1\/3)))\/u*u\/u**(-20))\/((u**1*u)\/u**(1\/15)) assuming u is positive.\nAnswer: u**(97\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 7) to base 5.\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clc when three letters picked without replacement from {l: 1, o: 1, c: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(1\/19)*f)**(-5\/11) assuming f is positive.\nAnswer: f**(-185\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (0 - 5 - -1). Suppose 6*s = s + n + j, 16 = -5*s - 4*n. Solve 4 = 5*i - 4*f, s = 2*i + 8*f - 4*f + 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5867, 7, 4, -2, -2\/9, 2\/19?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d + 2. Let j(v) = v. What is -5*j(b) - p(b)?\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 7:18 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 115, -0.2, 44, 0.2, 195?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, y: 2, t: 1, o: 2}. Give prob of sequence yto.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9361184 is divided by 731?\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195, -296, -397, -498?\nAnswer: -599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 18 = 7*j - 2*p, -3*j = -2*p - 12. Let t = -7 + 11. Suppose c = -3*q + j, 0*q + q = t*c - 63. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23842 is divided by 143.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 6:53 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*l + l + 4*l)*(0*l + 0*l + 4*l) - l**2 - 2 - 7*l**2 + 1 + (-3*l - 13 + 13)*(-4 - l + 4) to k + j*l**2 + w*l and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -429?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6103 - 61103\/10. Calculate the common denominator of 5\/8 and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93955 rounded to the nearest one hundred?\nAnswer: -94000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (97 - (145 + -22)) + 94?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 - 6*o**2 - 15*o + 18.\nAnswer: 3*(o - 3)*(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -253*i**2 - 1. Calculate q(1).\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -5*k**3. Let c(a) = -4*a**3 + a**2 + 1. Let y(m) = -6*c(m) + 5*v(m). Let z(p) = -41*p**3 - 42*p**3 - 17 - 17*p**2 + 81*p**3. Give 17*y(q) - 6*z(q).\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m - 6. Let a be d(9). Suppose -25 = -a*u + 5*q, -3*q - 3 = 3. Solve -3*f = -u*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 99*c**3 + 45*c**2 - 45*c - 45. Let i(b) = -b**2 + b + 1. Determine -45*i(l) - m(l).\nAnswer: -99*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 488 divide 60212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j + 58. Let o be t(0). Suppose 5*h - q + 6*q - 65 = 0, -2*q - o = -5*h. Calculate the smallest common multiple of ((-6)\/(-5))\/(7\/35) and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from nkkznnkzk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6719 - 5708. What is the hundreds digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/189*-7*(-5)\/(-5)*-9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62\/131 + -6199\/1572. Suppose -2*n = 5*a - 116, -n - 2*n + 2*a = -136. Calculate the common denominator of l and 12\/n - (-2)\/(-152).\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 1. Suppose v + 3*f - 12 = -2, 5*v = u*f - 22. Let g(c) = 2*c**3 + c**2 - c + 1. Determine g(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 13*s. Let j(w) be the second derivative of w**4\/6 - 11*w. Give r(j(x)).\nAnswer: 26*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 2*o**3\/3 + 3*o**2 + 2*o + 9. Determine s(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-4) - 1\/(-4). Let m = 85 + -80. Suppose -m*f + 2 + 8 = 0. What is the closest to -2 in f, s, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35226853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7981 + 7719. What is c rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1476 divide 7137003669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 - 4*d**2 + d**2)*(-211 + 152 + 66 + 32*d).\nAnswer: 32*d**3 + 7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 22 - (-8 + 10 + 1 + -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14439*y = -1574*y + 411680 for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-1\/29)*f)*f*f)\/(f**32*f) assuming f is positive.\nAnswer: f**(-898\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1304 divided by -326\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 167062560 to the power of 1\/3, to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181 = 23*s + 476 + 10 for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2627*h**2 - 4584*h**2 + 10*h - 7*h to the form f*h**2 + l*h + r and give f.\nAnswer: -1957","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*n + 98*n = -72 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by 140.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 968 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k**2 + 3*k**2 - 3*k**2)*(k - 2*k + 2*k) + 29*k**3 + 22*k**3 - 17*k**3 + k**3 + 0*k**3 + 0*k**3 to the form d + f*k + q*k**3 + g*k**2 and give q.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a kilometer in meters?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 27 = 6*f - 2*f, 5*k + 15 = 5*f. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 973\/170 + -2\/85. Let k = 647\/110 - u. Determine b so that 0 + 2\/11*b**4 + 0*b + k*b**2 - 4\/11*b**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 163 and 0.1?\nAnswer: 16.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express m**3 + 3*m**2 + 17 + 0*m**3 - 350*m - 2*m**2 + 351*m + 2*m**4 as r*m + j*m**2 + z*m**3 + v + o*m**4 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1306 - 53?\nAnswer: 1223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 3. Suppose x - 8 = -w. Differentiate x*v**4 - 23 + v**2 + 19 - v**2 with respect to v.\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/7, 0.1, 0.12, -8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74 or -87?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = -55 - 17. Which is smaller: -14 or v?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2110387 and 8?\nAnswer: 16883096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 1 - 71*y + 28*y + 20*y + 22*y. Let g(c) = -5*c + 3. Determine -g(f) + 2*j(f).\nAnswer: 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 138*j + 3 + 199*j.\nAnswer: 61*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 146243\nAnswer: 3\/146243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-10)\/i**(-1\/7) assuming i is positive.\nAnswer: i**(-69\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/((-3)\/2)*-1. Suppose 15*c - 18*c = 12. Put -1, i, c in decreasing order.\nAnswer: -1, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*h, 3 = -2*m - m + 3*h. Is 67 - m\/(3 - 4) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 24 = 5*q, 8 + 12 = 5*f. Let c = -3.238 + 3.038. Let l = -3 - -2. What is the smallest value in c, l, 0, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/15 - 10651012*o\/15 + 2130202\/3.\nAnswer: 2*(o - 5325505)*(o - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-106 - -2) + (65 - 219) + 168.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1913780869?\nAnswer: 7, 11, 13, 53, 36073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 96 + -132. Let o = l - -39. Calculate the remainder when 6 is divided by ((-52)\/(-12) - 3)*o - 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -9*w**2 - 18*w - 18. Let m(r) = r**2 + r + 1. Let n(f) = -18*m(f) - z(f). Let i(p) = -3*p**2. Determine n(i(k)).\nAnswer: -81*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -14863665 at least as big as -14863664?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*c - 40*c + 17*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t**2 + 5*t - 186. Let g(o) = -4*o**2 - 7*o + 277. Determine 7*c(i) + 5*g(i).\nAnswer: i**2 + 83","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 32259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) -283\/6844 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 96*u**2 - 806*u + 183. What is o(6)?\nAnswer: -1197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 895 and 3938?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 3*y - 33, 24*g + 185 = 29*g - 35*y for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 30 (c) 14 (d) -9\/4 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 6*y + 9. Suppose 0 = 3*c + 9 - 30. Let z be k(c). Find the third derivative of 11*r**6 - 6*r**6 - 3*r**z - 2*r**2 wrt r.\nAnswer: 600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: What is the first derivative of -276938*o + 576368?\nAnswer: -276938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (6*(1 + 3 + sqrt(108))*-2)**2 + 5 + -5.\nAnswer: 6912*sqrt(3) + 17857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -143328766.3 to the nearest 100000.\nAnswer: -143300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -81 (b) -0.2 (c) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439 is divided by 423?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -10, -3\/8, 786, 1225?\nAnswer: 1225","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -36, -5, 124, 387, 820, 1459, 2340, 3499?\n\"Answer: 6*v**3 + 13*v**2 - 50*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 652?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.00331 - 2.99669. What is the second smallest value in 2\/9, -108, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2, -18, -46, -86, -138, -202?\n\"Answer: -6*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2 - w + 6. Let r be l(6). Suppose 26*i - 420 = -1252. Let c = 50 + i. What is the greatest common divisor of r and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3265 + -1601. Suppose -5*x + 3*x + p = 0. Factor -x*l + 120*l**2 + 5*l**4 - 22*l**3 - 18*l**3 + 80 + 672*l.\nAnswer: 5*(l - 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 0)\/(12 + (-78)\/6). Is x greater than or equal to 2\/1565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -t - 0, 2*y = t - 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -52. Suppose 2*b + 10 = 2*r, -5*b + r = 59 - y. Let w(z) = -z + 2. What is the least common multiple of 12 and w(b)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/9, -6027, -2, 0.0128?\nAnswer: 0.0128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2*64\/624*13?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*w + 254*w = -57*w - 131*w - 34596 for w.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25*d*t**2 - 11385*d*t + 15845492*d - t**2 + 2*t wrt t?\nAnswer: 50*d*t - 11385*d - 2*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 8*j = 24. Solve 1 = 3*s - j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 635\/(-840)*4 - (-1)\/6. What is the smallest value in 1, 2\/9, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(405)*2)**2 - (-2 + sqrt(405) + -1 + sqrt(405) - sqrt(405))**2.\nAnswer: 54*sqrt(5) + 1206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x - n + 109 = 0, 0 = 1689*x - 1691*x - 3*n + 52 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -4, 5, 1.47, -2 in decreasing order.\nAnswer: 5, 1.47, 2\/13, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7*(339\/(-21) - 4). Suppose -133*z + w*z - 1632 = 0. List the prime factors of z.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45072\/(-1404) - -32)\/(((-40)\/(-15))\/(-2)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.7, 2.2, -750, 14?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 + 2 - 2)*(1 + 5 - 2) + 1 - 3*x**3 - 1 + 0*x - 2*x**3 + 0*x.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2*j)*(-1 - 2*j + 1) - j**2 - 267236*j + 560 + 267236*j + 0*j**2 - j**2 - 5*j**2 in the form h + d*j + u*j**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 726372 - 449633. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.04 and 0.2119843.\nAnswer: 0.1719843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (42*p**2 - 1955 + 1955)*(-p - 3*p + p) to the form s + y*p**3 + a*p**2 + m*p and give y.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 21 - 33*b + 19.\nAnswer: -33*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 375039885?\nAnswer: 3, 5, 11, 593, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 189 - 173. Suppose a = 5*n + 4*f, -f = 4*n + 2 - 17. What is the smallest common multiple of 554 and n?\nAnswer: 1108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1107 and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10579, -10615, -10651, -10687, -10723?\n\"Answer: -36*q - 10543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-163)\/1141*(-7)\/3. Which is the closest to 3? (a) h (b) 5 (c) 4 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 3:15 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(425) + 2.\nAnswer: 2 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**2*j**2 + 1460*a**2 - 153*a*j + 2*a - 24*j**2 wrt a?\nAnswer: -2*j**2 + 2920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-42)\/(-36)*12\/(-189). Let x = 0.6 - 1. Which is the third biggest value? (a) 2 (b) u (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45 - 8 - 27) + -28?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) 0.11 (b) 5 (c) 39.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 21. Suppose -5*c - 3*p + 15 = 0, 5*c + 15 = -2*p + s*p. Is (8 - (c + 4)) + 405 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**3 + 19*k**2 + 10*k + 3. What is v(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2833, -2909, -3103, -3475, -4085, -4993?\n\"Answer: -10*v**3 + v**2 - 9*v - 2815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119791, 119784, 119763, 119722, 119655?\nAnswer: 119556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 266\/(-399)*(2\/16)\/(14\/(-72)). Factor 0 + 0*c + v*c**4 + 12\/7*c**2 + 12\/7*c**3.\nAnswer: 3*c**2*(c + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/11? (a) 0.13 (b) 6 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -5\/3 (b) 1\/2 (c) -3\/49 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 495*r - 6 + 0 + 8 to d*r + m and give d.\nAnswer: -495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3081, -3084, -3089, -3096, -3105, -3116, -3129?\n\"Answer: -i**2 - 3080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 8 - 253 = 5*l, a = 4*l + 203. Let b = l - -50. Is -1 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 110\/15*3*75\/(-6). Which is smaller: k or -274?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*f**3 + 22*f**3 - 1 - 22*f**3 to the form r*f**2 + h + j*f**3 + z*f and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 167, 2\/17, 0.13?\nAnswer: 167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 2*t + 2. Let m be x(-3). What is the remainder when 13 is divided by (8\/2)\/(m\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 786861035 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - l = p, 4*l = 2*p + 6. Suppose -2*t + p = -1. Factor 2*w - 6*w**4 - 2*w**3 - 2*w**4 + 10*w**2 - t*w**2.\nAnswer: -2*w*(w - 1)*(w + 1)*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/23 + 74\/115. What is the closest to 2\/23 in -0.5, -0.3, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 29*x**2 + 521. Let m(c) = -c**2. Let s(l) = -l**2. Let f(i) = -5*m(i) + 4*s(i). What is g(f(v))?\nAnswer: 58*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**5\/9 + 146*j**4\/9 - 2078*j**3\/9 - 22546*j**2\/9 + 2080*j\/9 + 22400\/9 = 0. What is j?\nAnswer: -7, -1, 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -56163988 divided by 2006?\nAnswer: -27998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 1726*a**2 + 17*a + 82. Let d be w(-18). Suppose 9*u + d = 8*u. Round u to the nearest ten thousand.\nAnswer: -560000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (30 - 2) + -244 + 251?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**4 + 192*d**3 - 3072*d**2 = 0.\nAnswer: 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12*(-4)\/(-56))\/(7 - 10). Factor -v*f**3 + 2\/7*f + 0 + 0*f**2.\nAnswer: -2*f*(f - 1)*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 2 - 2)*(-6 - 3 - 1 + (21 - 18 - 79)*(2 + 0 - 1)).\nAnswer: -86*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(4 - (-6)\/(-3)). Suppose v = -d + 3*d - 108. What is the highest common factor of 6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f - 7 - 41. What is the remainder when 18 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.242435 from -786.\nAnswer: -786.242435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4)\/(((t\/(t*t*t\/(t**(-19)\/t))*t*t)\/t)\/t))\/(t**(-25)\/((t\/t**(10\/3))\/t*t)) assuming t is positive.\nAnswer: t**(122\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 511333621*k + 12*k**3 - 511333621*k.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 7:59 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55194 = -79*x + 85*x. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**3*q**3*v + 562469*h**3*q**3 + 2*h**2*q**3 - 9*h**2*v - h*q**3*v - 7*h*q**2 + 62*q**3*v - 3*v wrt h.\nAnswer: -12*q**3*v + 3374814*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8901.276 micrometers?\nAnswer: 0.000008901276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 70587 rounded to the nearest 100?\nAnswer: 70600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**5 + 31*l**4 + 10866*l**3 - 7975590*l**2.\nAnswer: -60*l**2 + 744*l + 65196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 389935 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1264.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - 2 + 2)*(-2*q - 2*q + 2*q) + (2*q - q - 3*q)*(-2 + 2 - 2*q) - 3*q**2 + q**2 + 3*q**2 - 16 - 7*q**2 + 16.\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -243, 13, -5, 33 in increasing order.\nAnswer: -243, -5, 13, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 21 = -9, 192 = 5*a - 2*d. Let v = 37 - a. Sort -5, -4, v.\nAnswer: -5, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 7*u**2 - 9*u + 7. What are the prime factors of s(10)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 253906?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -4. Let m = n + -4. Put -1, 1, m in decreasing order.\nAnswer: 1, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8242777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 9 + 5*o + 0*o + 0*o**2. Suppose 3*z = 4*z + 9. What is the remainder when w(z) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -4734118?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/136 + -63\/680. Let b = 21 - 15. Suppose b = 4*w - 6. Put 0.5, w, -0.4, y in increasing order.\nAnswer: -0.4, y, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 3*w**2 - 3*w - 1. Let d(r) = 1 + 0 - 92*r**3 + 3*r**2 + 3*r + 93*r**3. Let b(n) = -5*d(n) - 6*p(n). Suppose b(o) = 0. What is o?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*c. Suppose -2*j - j + 6 = c. Suppose j*n - 71 = -3*b - 3*n, 0 = 3*b + 2*n - 59. Calculate the remainder when 66 is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 5*y**2 + 6*y - 3. Give b(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005245127323 to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-3)*(-6)\/(-14). Let i(n) = -9*n - 64. Let p be i(-7). Do g and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 11*c**2 - 9*c + 10. Let q be b(-10). Solve q*i = -4*i + 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/4 - 3 - -32. Let y = 128 - t. Suppose -3*c + 3 = -y. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*y = 72*y + 1597 + 3005 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 9*i = 6*i - 30. Which is the third smallest value? (a) i (b) -0.3 (c) -1\/423\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2269 less than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2 + m**2 - 3*m**2 + (2 + 7*m - 2)*(4*m - 3*m + m) to the form z*m + s*m**2 + d and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0) + 3 + -7 + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-11920)\/7152)\/((10\/(-54))\/(-1))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) -0.9 (c) -0.3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 12:00 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -41*f**3 + f**2 - 4*f - 6. What is q(-1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -14645386226831.\nAnswer: -14645386226835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s. Let k(a) be the second derivative of -5*a**3\/6 + 38*a + 1. Suppose 0*p = -3*p - 9. Calculate p*k(x) - 2*y(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/(33\/(-22)*(-4)\/(-3)). Let k be 4066\/171 + (-2)\/f. Suppose -5*t + 13 = 2*y, 0 = -4*t + 2*y + y + 15. Calculate the highest common factor of t and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 822650829?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13852 a factor of 1451190928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 260 and 208?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/7 + 270*w\/7 - 267\/7.\nAnswer: -3*(w - 89)*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 25*q**2\/2 - q + 29. Let v be (-6)\/(-4)*2 - 2. Is l(v) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269*s + 153 = -265*s - z, 0 = -s - 3*z + 22. Solve -25*u + s = 12 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16*(-1)\/4)\/(-1). Let y(u) = -21332*u - 28. Let c be y(m). Round c to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 18. Suppose -5*c - 4*f = 12, -3*c - t*f - 15 = c. Let r(j) = -j + 4. What is the units digit of r(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 57\/9 + (1 - (-28)\/(-12)). Suppose -o - y + s = -0, 10 = -2*y. Calculate the least common multiple of 63 and o.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -0.6, -1\/149, -1 in descending order.\nAnswer: 1\/7, -1\/149, -0.6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12\/517567 or -1?\nAnswer: 12\/517567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1\/w)**47*(w**1)**19)\/(w**(-2\/3)*w**(-1\/3)\/w*w*w*w**0*w*w\/(w**(-3\/7)\/w)) assuming w is positive.\nAnswer: w**(109\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1443, 3182, 4921, 6660?\n\"Answer: 1739*o - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/351 and 58\/117.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*k + 10*k - 6*k + 51*k to the form p*k + j and give p.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0, -11, 1\/8, 4\/101, -4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 3 (c) -25\/37 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 378 - 379. Let h = -1.9 + 2. Put h, c, -6\/11 in descending order.\nAnswer: h, -6\/11, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3197*-0.4.\nAnswer: -1278.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/sqrt(3) + 3 + (sqrt(68)\/(sqrt(12)\/sqrt(3) + sqrt(4) - sqrt(4)))**2.\nAnswer: sqrt(17) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 172655 to the power of 1\/2, to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 236942 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, -2, -0.04, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -48*b**3 - 4*b**2 - 17*b + 4. Let u be o(-4). Calculate the greatest common factor of 11 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 + p**4 - 2*p**5 + (-10 - 6 - 1)*(2*p**5 - 3*p**5 - p**5).\nAnswer: 32*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + -3 - -2 - 31. Let s = 76 + p. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.79675606 to 4 decimal places.\nAnswer: -0.7968","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-12))\/(469\/268)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) 0.6 (c) 699 (d) -8 (e) -3\/4 (f) 7.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*l - 2 = -u, -5*u = -l - 28. Calculate the remainder when 10 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -2.683\nAnswer: -1.3415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 - 38*q**3 + q**2 + 556*q**3.\nAnswer: 518*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3*t + 3)*(9 - 7*t + 1 - 10 + 20*t**2) to the form h*t + k*t**2 + v*t**3 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 12:45 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.064 + 20.436. Let w = u - 21. Let s = -0.02 + 2.02. What is the third smallest value in s, -1\/5, w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1504891078?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1889 - -1888. Let o = -54983 - -8794197\/157. Let k = 1031 - o. Which is bigger: p or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 15 = -0*l + 5*l, 15 = -4*l + 5*h. Let z(o) = -12*o + 3. Let c be z(l). Put -3, -1, -6, c in ascending order.\nAnswer: -6, -3, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2*s)**(-30)*(s*s**(1\/8)*s*s)\/(s*s**(-16)) assuming s is positive.\nAnswer: s**(-575\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-20)\/(-15)*((-9)\/(-2) + 0) and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c - 8*c - 5*c)*(2 - 2 + 1)*(-1945 + 274 - 713) to the form o*c + g and give o.\nAnswer: 26224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 3*p**2 + p. Let i be h(-2). Let f(t) = 3*t**2 + 6 - 49*t + 0*t**i + 56*t - 2*t**2. Let k = -181 - -177. What is f(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14509480?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 17.57437um?\nAnswer: 0.00000001757437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11653.73 - 11759. What is p rounded to the nearest integer?\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2079906677.7 + 0.0126.\nAnswer: -2079906677.6874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - 0\/((-6)\/(-2) + -1). Let a be z\/(-5) + 54\/5. Let q(p) = p**3 - 8*p**2 - 17*p - 16. Is 20 a factor of q(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 7 + 0 + (-18 - -25) + -11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b - 4*b + 26*b - 11*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-26)\/(-6) + 2\/3. Let j = -2 + y. Suppose -j*v = 3*f - 2*f - 3, -48 = -3*f + 4*v. Solve -5*l + 8*l + f = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3 = -5*c, a - 4*c - 1 - 5 = 0. Suppose 4*o = 2*p - 15 + 47, -16 = -a*o + 3*p. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 63*y - 1327. Let z be a(-17). Solve -4*g - 5*s + z = 0, -20 = -3*g - 3*s + 4*s for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 154.1 to 0 decimal places.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -946*y**4 + 2*y**2 - 22*y**3 + 93*y + 1134*y**4 - 1 - 93*y to the form t*y + q + w*y**2 + p*y**4 + d*y**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*a**3 + 125*a**3 + 101*a**3 - 194*a**3 - 158*a**3.\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1581 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z + 9. Calculate the remainder when c(12) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - 31. Let r = 0 - -3. Suppose -4*g = -2*b + 14, g = r*b - 2*b - u. Which is smaller: 3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 - z - 2. Let d be u(2). Let q = -27 + 47. Let r be -2 + (2 - 2 - -2). Solve c - 5 + 0 = 3*w, r = -d*c + w + q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-3) + (-10)\/(-3). Solve 4*i = 4*v, g*i + 4*v + 0 = -7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5bc91b (base 15) to base 14.\nAnswer: -826217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(704) + 1)**2 + -5.\nAnswer: 16*sqrt(11) + 698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.113596043 to 4 decimal places.\nAnswer: -0.1136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 9. Let u be (-4)\/(16\/(-6))*l. Calculate the common denominator of 69\/16 and u + 3 + 125\/(-34).\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 + 28.66. Let r = 1.9 + i. What is r rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -0*n - 5. Calculate the remainder when ((-3)\/((-3)\/17))\/n is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12672580?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and 138940573.\nAnswer: 138940574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3504 rounded to the nearest 100?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4043537\/162603 - 25 - (-14)\/(-21)*6\/(-58).\nAnswer: -4\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/9)\/((-44)\/(-7128)*-27).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**2 + 6*l + 2. Let j(w) = -2*w + 6. Let r be j(7). Let i(z) = -2*z - 18. Let x(o) = 7*o + 66. Let y(h) = 11*i(h) + 3*x(h). Give r*y(f) - n(f).\nAnswer: 2*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.04 (b) 7 (c) -19\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8204*p - 5985*p + 47322*p.\nAnswer: 49541*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 43*s**2 + 245*s + 53. Give z(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 779, 522, 265?\n\"Answer: -257*v + 1036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -12593.98 to the nearest 10.\nAnswer: -12590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - v**2 - 1. Let y(b) = -7*b**3 - 13*b**2 + 10*b + 6. Let o = -74 - -73. Let a(s) = o*y(s) + 6*q(s). Let d be a(-8). Solve -z = d*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-17 + 19 - -19)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + u - 5 = 0, -3*s + 3*u - 19 = -22. Suppose k = -2*k + 4176. Suppose s*l - k = 279. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 - 100754790*c + 507576385397205.\nAnswer: 5*(c - 10075479)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1082515?\nAnswer: 5, 7, 157, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(144)*2*-1 + sqrt(144)))\/(sqrt(24)\/(sqrt(27)*4)).\nAnswer: 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -16 + 38. Let h(g) = -g**2 + 11*g + 10. Let f be h(n). Solve 6*a - f = 11*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v - 19 + 45 = 0. Solve -2*q = 3*i + 14, -3*q - 12 = v*i + 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14683\/7 - -2097. Let v = -15.7 + 1.7. Which is the second biggest value? (a) h (b) v (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*n + 20 = 5*l, 5*n - 25 = -l. Suppose 8*q - 13*q + 525 = l. Calculate the highest common factor of 140 and q.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -201 + 210. Let a(r) = -r**3 - 17*r**2 + 3. Let c be a(-17). Suppose -w + 37 = h - 18, -2*w = -c*h - 90. Calculate the remainder when w is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 9*d - 8. Let y = -16 - -9. What is the lowest common multiple of a(y) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8588 is divided by 188?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 h when four letters picked without replacement from ppdhpdppphhdd?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 32*w**2 - 244*w - 2108. Determine v(-37).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 403\/10 or 40?\nAnswer: 403\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-8))**(-2\/9)\/(i*i**(1\/4)\/i*i*i**(-8)*i*i) assuming i is positive.\nAnswer: i**(235\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -28\/829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1442*x + 793*x**2 - 799*x**2 - 18105*x.\nAnswer: -6*x**2 - 16663*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/14, -1.5, -93, -0.388, -1\/4 in descending order.\nAnswer: -1\/14, -1\/4, -0.388, -1.5, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-995)\/796 - (4\/(-6) - 213\/396).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 402497665 to the nearest integer?\nAnswer: 20062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 11*a**2 - 23*a + 8. Let r be g(-8). Solve 5 + r = -5*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -6*g**3 + 1095*g**2 - 643*g + 17822. What is y(182)?\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17012587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37\/10 + -7\/2. Suppose -4*c = -1 - 19. Suppose c*a = 3*l - 11, 2*a + 2*l = 4 - 2. Is a at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -1. Suppose -p*k = -10 + 6. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -582*i + 16. Let p(d) = -291*d + 7. Give -3*k(x) + 7*p(x).\nAnswer: -291*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -23. Let i = -6 - f. Solve i = z - 5*q, 2*q + q + 21 = 4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/6)\/(1\/3). Let w be 0\/j - (-16)\/(-28). Let v be (-6)\/(-8) - (-28)\/(-16). Is w != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (29 + (-11 - -5))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 7:38 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 0, 0 = -4*a - 0*d - d + 92. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46922 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 4*t + 36, 5*t - 3*t + 8 = 0. Let c(v) = 8*v - 50. Let n(b) = 3*b - 17. Let k(o) = g*c(o) + 14*n(o). Is 7 a factor of k(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (21\/(-14))\/(1\/(-2)). Suppose 2*y - 232 = 2*v, -v - 343 = -3*y - j*v. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + (-168)\/(-40))*(4\/(240\/405) + -8)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005375294 rounded to seven decimal places?\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 299522306 a multiple of 468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = j - 4, -p = 4*j - 5. Let z(r) = -5*r**2 + 1. Determine z(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 18 - (-2 - -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 4*k = 26, -182*k + 181*k - 10 = -5*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -324?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4349*j**2*k**2*q**2 + 6*j**2*k*q + 27*j**2*q**3 + 2*j*k**2*q + 922*j*k**2 - 29445*k**2*q**3 wrt q.\nAnswer: 162*j**2 - 176670*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/448424 and -93\/22.\nAnswer: 4932664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 182 + 3074871?\nAnswer: 3075053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5*c + 39. Let o be w(-9). Let i(a) = -a**3 - 5*a**2 + 6*a + 3. What is i(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/10 - 5185\/(-3050)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2116, 2126, 2134, 2134, 2120, 2086?\nAnswer: 2026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*z**2 - 102*z**2 + 21*z**2 + 26*z**2 + 21*z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78\/((-12)\/(-2)))\/((-7)\/(-7))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -0.274.\nAnswer: 0.137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110321023 + -2?\nAnswer: 110321021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/9))**(-4)\/(h**13\/(h*h**(1\/3)\/h*h)) assuming h is positive.\nAnswer: h**(-133\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 2*m. Let o(z) = 4*z**2 - 7*z. Let y(v) = 14*l(v) - 4*o(v). Let n(h) = -2*h**2. Give y(n(p)).\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -127512 - -1731?\nAnswer: -125671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*-2*sqrt(80)*2 + -4 + 5*(3*3*sqrt(80) - sqrt(80))*-5))**2.\nAnswer: 225792*sqrt(5) + 110638656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18158.\nAnswer: 2, 7, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19\/15 - 17\/15. What is the third smallest value in -0.4, -4, x, 1\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/12 and 111\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 2282, 2, -1 in ascending order.\nAnswer: -1, 2, 11, 2282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 225109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15953.85 rounded to the nearest 10?\nAnswer: 15950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 8) to base 4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*r + 16, -8*x + 2*r - 8 = -4*x. Suppose x = v - 18 - 19. Suppose -6*c = -9*c + 57. What is the remainder when v is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1660 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2901998 and 97348842?\nAnswer: 1070837262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 5*d + 2. Let v be r(-8). Let l = -33 - v. Let w(z) = -8*z + 40. Let y be w(l). Solve 2*k - k = y for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 2*v + 2*v - 4, 0 = n - 3*v + 11. Suppose -6*g + 8 = -2*g. Suppose -44*r + 48*r = 32. Solve g*o = n*o - r for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 5317.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-428)\/234 - (22 - 24). Let f = s + -7411\/234. Calculate the common denominator of 7\/88 and f.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -23*z + 1. Let l(i) = 572*i - 6. Calculate 3*g(r) + l(r).\nAnswer: 503*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1*(3 + -2))\/((-6)\/48). Sort 4, p, -0.9, -0.4 in descending order.\nAnswer: p, 4, -0.4, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*z + 2*z**2 + 10*z + 10 - 84*z.\nAnswer: 2*z**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 10 - 7*q in the form v + s*q and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -731*b**3*u**2 + 3*b**3*u - 2*b**2*u**2 + 1225*b**2 + b*u**2 wrt u?\nAnswer: -1462*b**3 - 4*b**2 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-15) - (-2)\/18*-33. Is (f\/(-4))\/((-36)\/(-16656)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 9:18 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = m - 2*m. Suppose 0 = t - g + 296, -4*t + 9*t = -m*g - 1516. What is t rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 136, -2, -2\/5?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7 - 0.8. Let r = -0.3 + 0.54. Let k = r - 0.04. Which is bigger: w or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3614 divided by -26.\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -184*m - 89. What are the prime factors of p(-25)?\nAnswer: 13, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 5. Give t(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5\/72 - -47\/360. What is the closest to -0.1 in -0.5, 5, v, 501?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8546?\nAnswer: 2, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11992596 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 86072 to the power of 1\/2, to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 276, 587, 920, 1269, 1628, 1991, 2352, 2705?\nAnswer: 3044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 598660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 14079\/(-139860) + 1101\/(-13579) + (-2)\/(-63)\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/10*(-70)\/28\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133445, -266889, -400333?\nAnswer: -533777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 30*s - 164. What is d(13)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 5:33 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9044*w + 9067*w - 18111*w + 10*w**3.\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9853, 9980, 10103, 10222, 10337, 10448?\n\"Answer: -2*t**2 + 133*t + 9722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 300*a**2 - 610*a**2 + 320*a**2.\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.3 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*j, 0 = 4*h - 5*j + j - 28. Let s be 90\/(-4)*4\/(-6). Let p = s + -11. Solve 5*l + h*z + 5 = 0, 5*l + 0 = -p*z - 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaqw when four letters picked without replacement from {q: 4, w: 1, a: 6, y: 2}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -615 by 2.\nAnswer: -615\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -39c097a + 12?\nAnswer: -39c0968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2616.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-18)*(-266982)\/(-4). Suppose -5*g - 3*w = -d, 3*w + 11690 + 23913 = 4*g. Round g to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5152774500 take away -2189?\nAnswer: -5152772311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39b408 (base 12) to base 11.\nAnswer: 5a0872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yjx when three letters picked without replacement from xxuurxxjxjxjxjxuxuxy?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -3 (b) 5 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l + 11. Let v(h) = -h + 4. Let b be ((-3)\/2)\/(18\/(-36)). Calculate b*w(j) - 8*v(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24861 or -31282?\nAnswer: 24861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 611314 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 41236284, 41236286, 41236298, 41236326, 41236376, 41236454?\n\"Answer: g**3 - g**2 - 2*g + 41236286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = b - 30, -4*m + 41747*b - 41742*b = -59 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111110010010 - 11?\nAnswer: 10111110001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 2\/15, -2, -0.22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -37*t - 21. Let r be a(6). Let i = r - -700. Suppose 0 = -3*l - 3*d + i - 106, -4*l = -5*d - 468. Calculate the highest common factor of l and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 10) to base 4.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-5))\/3 - (-11550)\/(-3025).\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-6)\/(-8))\/(84\/(-56))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -51*m**3 + 135*m**2 - 48*m - 36.\nAnswer: -3*(m - 2)*(m - 1)*(17*m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - -0.2. Let v = -0.3 + n. Let g be ((-78)\/(-65))\/(42\/20). What is the third biggest value in -3, g, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1339 and 116428.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4*o + 86058. Suppose 4*z + 2*r = 27204, 2*r - o = -3*z + 6061. Suppose -7*y + 3*y = z. Round y to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7020 is divided by 6937.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/5 of a centimeter?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700)*2 + -3)**2 + (5 + sqrt(1088) + 0)**2)*-6.\nAnswer: -47532 + 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x - 2. Let n be b(7). Suppose 3*p + 50 - 194 = -u, 156 = 3*p + n*u. What is the remainder when p is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (20\/6)\/((-26)\/30 - -1). Suppose 27*q + 4 = u*q. Let b be q + -3 + (3 - 2\/2). Is b >= -0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/296 and -11\/6494684.\nAnswer: 12989368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.068 less than -7420?\nAnswer: -7420.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 39918410153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 - 2372*d - 66960.\nAnswer: 4*(d - 620)*(d + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbwdbbywbpkw. Give prob of sequence bk.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 669822?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = y. Suppose y = 3*f - f - 96. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 1 = p, -6*p + 11*p - 23 = 4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1285, -2006, -2727, -3448, -4169, -4890?\n\"Answer: -721*q - 564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dppiippicqpqpd. Give prob of sequence pq.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -50972, -102107, -153242?\n\"Answer: -51135*y + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -2*z - 60 + 66, -3*r + 11 = -5*z for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 466 = 2*s. Let g be 1456\/(-10) - 21\/(-30)*(-64)\/112. Let x = s + g. List the prime factors of x.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 320 divide 3087644811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.8181 and 23935.\nAnswer: 23932.1819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/16 of a minute in milliseconds?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 1223387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 14?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.9026 less than 1?\nAnswer: 5.9026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -692 divided by -4?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17397 and 4391776.\nAnswer: 1933","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000025880428 to six decimal places.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/116237 or -1?\nAnswer: 6\/116237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(114)*-3*-2)\/(-3*sqrt(48)\/sqrt(8)).\nAnswer: -2*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 46 + (-8 - (6 - 2)) - 1\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.12 and -16.69.\nAnswer: -16.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32947 is divided by 2057.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 253487, 506943, 760399, 1013855, 1267311, 1520767?\nAnswer: 1774223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0)**(6\/19)*(s**1)**(8\/7) assuming s is positive.\nAnswer: s**(8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 - 13*u**2 - 16*u**2 + 84*u - 47*u - 37*u + 10*u**2.\nAnswer: -17*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 600 - 600 + 50*b.\nAnswer: 50*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*z**3 - 13*z**3 - 2*z**4 + (-2*z**3 + 2*z**2 - 2*z**2)*(-2 + z + 2).\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/11, 1048, 0.1, 231?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -8, -2, -1\/7, -1\/4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvibttyiywvvwit. What is prob of picking 2 y and 1 v?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -3, -2\/11, 19.7 in decreasing order.\nAnswer: 19.7, 0.1, -2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**3 + 23265 - 23265.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, 0.4, 4, 12?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 + 5\/((-40)\/(-8608)). Let q = -719 + h. List the prime factors of q.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5040360 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 193.1 and 4?\nAnswer: 772.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2*l + 10. Suppose 2*g - l*v + 1 = -17, -5*g + 5*v = 15. Suppose 2*c - 2 = -2*u + 2, 12 = 3*u - 3*c. Solve u*p = g - 13 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**6\/120 + 29*m**5\/60 + 79*m**4\/24 + 10*m**3\/3 - 13*m**2 - 27. Give i(-26).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38810, 38563, 38150, 37571?\nAnswer: 36826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 143.118 + -0.118. Let x = 102 - r. Let a = -40 - x. Are -1.7 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v. Let s(p) = 201*p + 2. Calculate s(n(u)).\nAnswer: 201*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 400.1 + -80.1. Let a = w + -339.9. Round a to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3279357?\nAnswer: 3, 364373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*z = 64*z + 714. Calculate the remainder when z is divided by (-40)\/(-6)*180\/80.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*v = 0. Suppose v = q - 3*q - 2. Is 12 a factor of 22 + q*2\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -1 + -2880 + 2825\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*n + 37*n + 4*n**4)*(-6 + 2 + 1) + 43 - 42*n**4 - 43.\nAnswer: -54*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**9*a*a*a**40)**46 assuming a is positive.\nAnswer: a**2346","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 220\/(-1265)*(-17)\/(-170)*(-5)\/2?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 340503148 to the power of 1\/2, to the nearest integer?\nAnswer: 18453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5475 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 6*t**2 + 6*t. Let z be 4\/(-1 - -1*3). Let y(r) = 3*r**z + 8*r**2 - 2*r**3 + 2*r - 13*r. Give -11*a(p) - 6*y(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -0.3 (c) 1\/6 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.1 + -2. Let u = 3\/4 + -1. Let q(l) = l + 4. Let w be q(0). Sort u, w, f in ascending order.\nAnswer: u, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 11 + 1 = 0. Let h be g\/18 + (-26)\/(-117). Suppose h = 2*v - v - 23. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25850.86174 + 0.7538\nAnswer: 25851.61554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85799490.\nAnswer: 2, 3, 5, 7, 58367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) -44 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 8*x**2 + x - 5. Let r be a(-4). Find the common denominator of -59\/8 and (-430)\/r*(-2)\/4.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.4 - -11.4. Let j = 10.5 - d. Let t be (-12)\/(-10)*(5 - 32\/6). Sort 1, t, j.\nAnswer: t, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -107756268 by -35918756.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 696350 = -155969. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/((-2)\/(-12)*-8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20756839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169 - 169 + 73430*a.\nAnswer: 73430*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 1:14 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -141044 (base 8) to base 14\nAnswer: -14180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1360 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210540 is divided by 54?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*f**3*s**2 - 221*f**3 - 2*f**2*s + 2*f**2 + 4*f + 99*s wrt s.\nAnswer: 12*f**3*s - 2*f**2 + 99","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a**2 + 10*a - 31. Determine d(4).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3765 by -189.\nAnswer: 1255\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**2 + 0 + 0 + (9 - 4 + 6)*(d**2 - 4*d**2 + 2*d**2) - 178*d**2 + 240*d**2 - 778*d**2.\nAnswer: -729*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-42)\/28)\/(3\/88) + -3. Let a = -409 - l. Is a != -361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 0*m + 16*m - 24*m. Let q(n) = -n**2. Calculate w(q(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3792943129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3456 divided by 94324.\nAnswer: -864\/23581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16.179 in -1\/6, 1\/9, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**2 - 20*k - 2*k**2 + 23*k + k**2 - 4*k**2 + 2*k**2 + (2*k - k - 2*k)*(0*k + 2*k + 0*k) - 4 + 4 + k**2 as r*k**2 + u*k + l and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqqzqqzqzqzzzyqzzqz. Give prob of picking 2 z and 1 q.\nAnswer: 96\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/90*1\/3.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 851 is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jbibkibjuffkuujj. What is prob of sequence fujf?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 30*d + 321. Calculate the remainder when h(18) is divided by 38.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -6\/1007, 2, 26, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 9. Let s = -0.4 - -0.8. What is the biggest value in s, b, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 33*o - 35*o + 0.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 7:13 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1050 + 1049.5. Let s = 0.2 - -0.8. Let c be -2 + 0 - (-57)\/30. What is the closest to s in f, c, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 8:57 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**2 - 22301*g + 2783842. Calculate q(127).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 953 + -829 - (1 + 21) - 19.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -5*z - 25, n - 3*z = 19. What is the units digit of (n\/(-5))\/((-30)\/225)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/32)\/u)\/u)**(-7\/12)*(u*u**13*u)\/(u\/(u\/(u*u**17))) assuming u is positive.\nAnswer: u**(-697\/384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.345 + 0.045. Sort o, 1, -1 in descending order.\nAnswer: 1, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ollllo. Give prob of sequence lol.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 - 174748*c + 174744.\nAnswer: 4*(c - 43686)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 128 and 57205056?\nAnswer: 114410112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7.7165 and -215.336341?\nAnswer: 223.052841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2 + sqrt(27) - (sqrt(3) - -2*sqrt(3))*6) + 2.\nAnswer: -15*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-748)\/(-132))\/((-1)\/(-3)). Let o be (2 + (-5)\/2)\/(1\/8). Let u be 1 - o - 3 - 0\/(-2). Solve -3*g = -6*g + u*y - n, -3*y = -g - 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 + 1104\/(62 + -14)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avsv when four letters picked without replacement from vvwvsivviavaisiwvi.\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 16*y**2 - 28*y - 30. Let r be c(14). Is 3 a factor of (r\/(-21))\/((-3)\/(-21))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11423*k = -11558*k - 1620 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001111101000111101000 (base 2) in base 8?\nAnswer: -31750750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 + 3*j + 4. Suppose -3*a = 2*c - 213, -3*a = 3*c - 5*c + 195. Let y = c - 105. Determine p(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 201 + -202. Is 0 - c - (-516 + 7 + 0) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(72\/70))\/(2705\/(-4328))?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 25248, 100971, 227170, 403839, 630972, 908563?\n\"Answer: -a**3 + 25244*a**2 - 2*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d**2 + 8*d - 2. Let i(o) = -3*o**2 + 8*o - 3. Let h(z) = 2*a(z) - 3*i(z). Let b be h(7). What is the hundreds digit of (-205)\/b*12\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 153 - -89. Let i = v - 227. Is i at least as big as 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-55)*-2)\/(4\/(-11))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.92 + -1. Let y = -0.08001 - m. Round y to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 - -71 - (1 + 5) - (10 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -157431 (base 8) to base 11.\nAnswer: -39a01","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -49*l + 1. Let d be b(1). Let x = d + 34. Does 10 divide (-452)\/(-14) - (-4)\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/3))**24\/((a**(-8)\/a)\/(a\/(a\/(a\/(a\/a**(4\/3)))*a)*a))*(a**(-1))**16\/(((a\/a**(-1\/2))\/a)\/(a**2\/a)) assuming a is positive.\nAnswer: a**(161\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1334 is divided by 664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 557891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*r - 565*r - 6144 = 0 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3075 by -5.\nAnswer: -615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -8, 4, 0.4, 2, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -7*w + 399. Let j be k(57). Suppose j = 9*g + 802 - 820. Factor 3\/2 - c**g + 5\/2*c.\nAnswer: -(c - 3)*(2*c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 71, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10472083 to the power of 1\/2, to the nearest integer?\nAnswer: 3236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1745434*n**4*w**3 + 1116042*w**3 + w wrt n.\nAnswer: 6981736*n**3*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(384) + sqrt(384)*1)*5)\/sqrt(12) - (-3 + 2*sqrt(72) + 0 + 1 + sqrt(72)).\nAnswer: 2 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 12*g - 1870. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000020415 rounded to 7 dps?\nAnswer: 0.0000204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gegg when four letters picked without replacement from eegeeegeeghgee.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/52659635 and -127\/1483370.\nAnswer: 105319270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 259048.2 litres to millilitres.\nAnswer: 259048200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 7*p**2 + p + 5. Let d be (-2 + (-112)\/(-3))\/((-4)\/(-6)). Suppose -4*u + 5*v - d = 0, -4*u + u + 5*v = 46. Give a(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 22*g**2 - 34*g - 1. Let u(h) = -98*h**2 + 136*h + 6. What is 9*j(w) + 2*u(w)?\nAnswer: 2*w**2 - 34*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -8. Let f(j) = -j + 6. Let r be f(z). Suppose -4*u + g + 131 = r, 4*u + u - 4*g = 150. What is the common denominator of u and -42\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -533 - 15*w + 533 in the form o + z*w and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/161347400 and -49\/40.\nAnswer: 161347400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -11632.\nAnswer: -58160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6808 and 148.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 918672475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -18*r. Let t(u) = -11*u**2 + 5*u. Give h(t(i)).\nAnswer: 198*i**2 - 90*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -542.73?\nAnswer: 542.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 69*p - 841. What is c(12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3232935, -6465866, -9698793, -12931710, -16164611, -19397490, -22630341?\n\"Answer: d**3 - 4*d**2 - 3232926*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*((-3)\/(-9) - 11\/66). Let i be ((-123)\/9 - 1) + -2. Let l = 17 + i. Which is the closest to -0.1? (a) -2 (b) s (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354417623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (6*2*sqrt(68))\/((sqrt(216)\/sqrt(6))\/sqrt(9))*-1 + 5.\nAnswer: -12*sqrt(17) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7655 or -191394\/25?\nAnswer: -191394\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 33*f - 177. Calculate v(-26).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-five halves of a tonne?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (293 + 2540 + 2313 - 2099 + 3179 + 4814)*(8*y**3 + y**3 - y**3).\nAnswer: 88320*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - (-2 - -1 - 7)) + 20 + -25?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*g - a + 14 = 0, -2*g + 3*g + 2*a + 3*a - 4*a + 7 = -0*a for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**4\/12 - 57*t**2\/2 - 303*t. Determine s(0).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 3)*(v + 0*v + 0*v) - 69 - 39*v + 151 - 80.\nAnswer: -35*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1261439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14080713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*u**3 + 24917 - 24917 + 103*u**2 - 101*u**2.\nAnswer: 207*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 3*w + 2160, -5*i - 4*w = -5277 + 1713. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1401*d**2 - 405 - 699*d**2 - 691*d**2.\nAnswer: 11*d**2 - 405","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-5 - (7 + -12)) - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 at most 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 44855\/(-11225) + 5 - -4 - (9 + -4). Are l and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449 is divided by 228?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -5. Let l(a) = a**2 - a - 2. Let r be l(m). Suppose -4*j = 4, -r*j - 279 = -2*v - 5*j. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*r - 21*r - 29*r - 10*r.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -141546751 or -141546752?\nAnswer: -141546752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.2 or -935?\nAnswer: -935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 2. Let w = -86253 - -86257. Sort w, z, -8 in ascending order.\nAnswer: -8, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4)*-3)\/((-445)\/(-4272)*-48)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v\/(v\/v**2)*v)\/v)\/(v*(v*v\/v**(2\/3))\/v))\/(v**(1\/2))**28)**(5\/7))**0 assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 4:50 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 688, -187, -1, -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + 81431506\nAnswer: 81431506.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen fifths of a millennium?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 8*p**2 - 87*p - 23. Let d be r(12). Which is bigger: d or 78?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*w - 6 = 3*c, 22 = 4*w - 2*c. Suppose -42 = -w*x + 3*i, -8 = -4*x + i + 45. What is the remainder when 37 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 1\/33*n**4 + 0*n + 0 + 86*n**2 - 4\/11*n**3 + 1\/330*n**5. Factor z(h).\nAnswer: 2*(h - 2)*(h + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -275 + 282. Suppose -w*t = -44979 + 10700. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1334, 2684, 4046, 5426, 6830, 8264?\nAnswer: 9734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 9:52 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 7*l**2 - 11*l - 6. Let y be q(-8). Let x = 4 + y. Suppose m + 3*r = 14, r - x = -3*m + 2*r. Calculate the highest common divisor of m and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217713037 is divided by 2748?\nAnswer: 2737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.01 + -0.19. Which is the nearest to 0? (a) 0.5 (b) r (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (55\/10)\/(16054\/552 - 29)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 248200 to the nearest ten thousand.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2474*j**2 - 6686 - 11303 + 2476*j**2 as l*j**2 + d + u*j and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 14\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24\/20785565 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 o when two letters picked without replacement from iwdoudg.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5*q + 10, -2*y - 2*q = q + 24. Is ((-3)\/y*2)\/(1\/2885) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/2172 and 13\/1629.\nAnswer: 6516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41433.\nAnswer: 3, 7, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*u + 21 - 51 + 47)*(4*u**3 + u**3 - 2*u**3) in the form x*u + i + o*u**4 + t*u**2 + b*u**3 and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h + 2*h + 0*h)*(2 + 2 - 2) + 0*h + 0*h - 2*h + 2*h + 2*h - 3*h + (2 - 21 + 5)*(2*h + h - 2*h) to r + y*h and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -170 + 167. Let h = 0.26 - -0.14. Which is the biggest value? (a) g (b) h (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5889*x - 52958. What is s(9)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1723 (base 9) to base 8.\nAnswer: -2445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s - 11*s = 16*s - 280. Solve -d = -3*h - 116 + 103, -4*h + s = 5*d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -897*j + 896*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 211226, 211225, 211224, 211223, 211222, 211221?\n\"Answer: -l + 211227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4407 - 4409. What is the fifth biggest value in 1\/5, -3, s, 0, 1\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 + -2 + 330 - 3.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74aa (base 14) to base 3\nAnswer: -1000122000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 4*f**2 + 13*f + 4. Let z be w(-6). Let p(t) = -10*t - 5. Calculate the remainder when p(z) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 13*h**3 + 215*h. Let s(b) = -6*b**3 - 108*b. Determine -4*m(y) - 9*s(y).\nAnswer: 2*y**3 + 112*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*(-4)\/(-8)*-1. Let q be m + (-204)\/(-5 - -1). Suppose 38*n - 21 = 35*n. Calculate the highest common divisor of n and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 6*z**3 - z**2 + 6. Let w be g(-2). Which is bigger: w or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*a*c**3*l**3 + 2*a*c**3*l**2 + 3*a*c**2*l**2 + 4*a*c*l**2 + 10943*a*c*l + a*c - 166973*c**3*l**3 + 14*c**3*l**2 wrt l?\nAnswer: 156*a*c**3 - 1001838*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**3 + 16*h**2 - 12*h - 38. Let f be m(6). Let n(s) = 2*s**3 - 7*s**2 - 2*s + 2. Let l be n(6). Calculate the greatest common factor of l and f.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(-73*s**2 + 73*s**2 - 14*s**3 + (s - s - 2*s)*(2*s - 2*s - s**2) - 4*s**3 + 2*s**3 + 3*s**3 - 4*s**3 + s**3 + 2*s**3).\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -3 - 2) + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 446 a factor of 286332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18629462.\nAnswer: 2, 19, 490249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -63, -82, -119, -180, -271, -398?\nAnswer: -567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*t, -5*k = 4*t - 66 - 26. Let b(a) = -a + 8. Calculate the remainder when k is divided by b(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 1 = 4. Is 11 a factor of ((-2)\/(-6))\/(j\/33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77207 minus -11420?\nAnswer: 88627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0*x + 12 = 0. Suppose -5*i + x = -2*i. Suppose 0 = -3*k - 3. Sort i, -5, k in descending order.\nAnswer: i, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*b = 16, -4*b = -d - 6*b + 8. Let w(f) = f**3 - f**2 - f + 2. Let s be w(d). Solve -o - 3*y - 10 = 0, 0 = -s*o - 3*y - 5 - 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h - 76 + 56 = 0. Let t = 3.7 + 0.3. What is the closest to h in 1\/21, -2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 14*j - 13*j. Let s be j\/27*(-6)\/2. Is 4 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -74481*x - 8118449. Determine t(-109).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (99692\/(-14))\/((-168)\/588)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yynnnnaiyyyyjncn. Give prob of picking 2 n and 1 j.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 5, 5752, 7 in ascending order.\nAnswer: -3, 1, 5, 7, 5752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**2 - 7 + 7)*(-41 - 2 + 4).\nAnswer: 195*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10 from 320.97189.\nAnswer: 310.97189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 804367745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 11499*b**2 + 4*b. Let l be d(4). What is l rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllll. Give prob of sequence llll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -118, -2, 4, -27958 in descending order.\nAnswer: 4, -2, -118, -27958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -826 - 11*y + 3*y + 809 to r + q*y and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-164)\/(-41)*(-3)\/(-8). Let z(f) = 2*f**2 + 15*f - 23. Let l be z(-9). Which is the nearest to 0.1? (a) u (b) l (c) -1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -103?\nAnswer: -30.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4 + 52*l**3 - 400*l**2 + 512*l + 3072.\nAnswer: -2*(l - 12)*(l - 8)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - i + 4. Suppose t + 150 = i*t. Suppose 2*w = -3*w + t. What is the greatest common factor of w and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a year?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and (-3)\/((-8)\/(448\/12))?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1430023 (base 6) to base 10\nAnswer: -81663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 4*p = -0*t + 8, -2*t = -5*p - 18 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of v**10\/75600 - v**9\/10080 + v**7\/630 - 3*v**5\/4 + 5*v**2 + 4. Let p(g) be the third derivative of b(g). Factor p(s).\nAnswer: 2*s*(s - 2)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 5) + (1 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23912 is divided by 288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 22 + 8*h - 61 - 21 + 0 - h**2. Let f(c) = 3*c - 20. Calculate 8*f(i) - 3*j(i).\nAnswer: 3*i**2 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 551611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + 3. Let w = s + -4. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 0*y - 3 + 3*y - 2 + 2 + y + 0*y + y + 0*y + (6 - 2 - 1)*(-y - 3*y + 3*y) in the form f*y + p and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -1. Let l = -1297.2 + 1300. Let g = l - t. What is the biggest value in 1\/10, g, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133 and 4294.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 w, and 1 f when three letters picked without replacement from fmtfmwu.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -24. Let t = y - 27. Let p = 41 + t. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 4 + 21. Suppose 0 = v*c - 4*w - 9 - 71, 5*w = 5*c - 80. What is the least common multiple of (8\/(-5))\/((-1)\/5) and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -68732794775 - 1.\nAnswer: -68732794776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 + 31. Suppose -16 = -5*o + 3*k, 0*o - o - 3*k = -14. Suppose -5 = -5*v + o. Sort v, -5, l.\nAnswer: -5, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1071 (base 16) to base 13\nAnswer: -1bba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14)\/42*(-1*8817 + 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/211 and 38\/(-88) + 20\/16?\nAnswer: 2321","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 91039*u**4 + u**2 + 949*u - 356348841?\nAnswer: 364156*u**3 + 2*u + 949","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1571147002 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(208) + -1 + sqrt(208)) + 3)**2.\nAnswer: -160*sqrt(13) + 20804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.4, 2\/7, -6\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 1 + 3)*(-2*i + 1 - 1) + 4*i - 2*i - 3*i)*((4 - 4 + i)*(4 - 5 + 3) - 19*i + 6*i - 3*i) as u*i + t*i**2 + h and give t.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 17, 26, 35, 44?\n\"Answer: 9*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.58301798 plus 0.3?\nAnswer: 13.88301798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-56) - (0 - (-4)\/8).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 9 + 7. Suppose -2*f + 22 + 8 = -2*p, -3*f = -j*p - 40. Solve y = d - 9, 0 = y - 5*d - f + 49 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 9:50 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 + 1367?\nAnswer: 1376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5\/4 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-10)*151\/((-6644)\/(-440)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 3*a**2 + a + 4. Let b be u(-3). Solve -z = -b - 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1578 is divided by 72.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 59.4629819 to 2 decimal places.\nAnswer: 59.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -2 - (0 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-149386)\/1033804 - (-3)\/(-102).\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/2, -13, -1\/4, 0.5, -2.5 in decreasing order.\nAnswer: 0.5, -1\/4, -2.5, -9\/2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*r + 604*r**3 - 6*r**2 - 606*r**3 + 17*r**2 + 2 + 4*r in the form f*r**3 + d*r + y + i*r**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxvd when four letters picked without replacement from {v: 1, d: 10, x: 9}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6984 divided by 5\nAnswer: 6984\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 2.528?\nAnswer: 3.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-4) + (-93)\/(-12). Suppose 8 = 4*m, 0 = -s + 3*s - m - p. Solve 25 = 3*q - 4*y + 3, -12 = 4*q + s*y for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1516232 - -2427717. Let s = -3943954.300334 + f. Let j = -5.3 - s. Round j to 5 dps.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -712, -2833, -6374, -11341, -17740, -25577, -34858?\n\"Answer: -j**3 - 704*j**2 - 2*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 0.2 (c) 0.32 (d) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2449315?\nAnswer: 5, 11, 44533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/4 - 11\/(-4). Let a(n) = -n**3 - 5*n**2 - 153*n - 952. Let z be a(-6). Put -3, -5, z, p in descending order.\nAnswer: p, z, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -28*q + 74 - 42 - 51. Let c be o(-8). Calculate the highest common divisor of 41 and c.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 15 + 25. Suppose 2*l - t = -2*l. List the prime factors of 4\/l - -2*5.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 140992869?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 129 and 1462?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 3*k - 17, -5*z + 73 = 31*k - 216 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/(-15)*(-36)\/(-16))\/(-1*105\/(-168)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 138a (base 14) in base 5?\nAnswer: 102304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -99357 from -0.203487.\nAnswer: 99356.796513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 12*((-4)\/(-6) + 0) + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 3. Let x(s) = -s**3 + 20*s**2 + s - 16. Let c be x(20). Put -4, c, a in increasing order.\nAnswer: -4, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -56\/47?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136577?\nAnswer: 7, 109, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/514267 and 48\/5.\nAnswer: 2571335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -469 - -559. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 3*j + 2. Let s(y) = -y**2 - 3*y + 2. Let d(n) = 6*i(n) - 7*s(n). Suppose 0 = 3*c - 0 + 9. Calculate d(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 + -1100?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20668.842 - 20651. Let r = y - 18.042088. Let x = r - -0.2. Round x to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 w when four letters picked without replacement from wwgwgwggwwgwwwwwwg.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c**5\/7 + 22268*c**4 - 508962052*c**3\/7 + 17947377788*c**2\/7 + 25514198400*c\/7 - 24835305168\/7 = 0.\nAnswer: -2, 2\/3, 37, 6477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y - 2*y - 196 = 0. Suppose -4*q + 10 = q. Let o be (q\/3)\/(y\/63). Solve -h + 4 = o*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u - 2. Suppose 0 = 4*p + p + 10. Let a be n(p). Suppose -12 = -a*j - j. Solve 25 = j*y + y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-21)*(-6)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 4*u - 824, 4*u = 8*u + 3*s - 827. Is 78 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1090 divided by 16757.\nAnswer: 1090\/16757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 21*u**2 - 5*u + 8. Let h be c(11). Suppose 2*r = 3*v - 5953 + h, v - 1148 = -r. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 13. Let x be y\/(-3)*(-27)\/(-6). Suppose -2*u + 38 - x = 0. Solve -3*j - 5 - 26 = 5*v, j - u = 3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m + 0 + 0)*(21268*m - 21293*m + 13*m**2 - m**2) to o*m**2 + k*m**3 + j*m + i and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -15*d + 7*d. Let y(t) = -2*t + 3. Let x be y(6). What is the remainder when 3*(-33)\/x*1 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vwwwvwxxs. What is prob of sequence wswx?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 880\/(-24)*(-2 + -1 - 0). Calculate the greatest common divisor of 44 and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -339, -346, -353, -360, -367?\n\"Answer: -7*k - 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**3 - 7*o**2 - 6*o - 4. Let q be d(-3). Suppose -181 - 229 = -q*k. List the prime factors of k.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 227*d. Let t(l) = 453*l. Determine 2*t(b) - 5*y(b).\nAnswer: -229*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24304*d**2 - 801912*d + 801912*d - 24301*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 103412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1915*f - 1915*f - 6 + 113*f**2 + (3*f + 0*f - 2*f)*(-4*f + 3*f - f).\nAnswer: 111*f**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/136*-3 + -9*5\/(-18).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -2307*c + 2312*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 25*j**2 - 47*j - 25. Let t be a(-23). Suppose -g + q = -10, -4*g - q + 26 = -2*g. Sort t, g, -4 in descending order.\nAnswer: g, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 12 = 4*p + 8, 4*p + 20 = -l. Suppose -4*j - j = 0, 2*j - 15 = 5*t. Let a = 7 + t. Solve -5*n + l*x - 29 = 3*x, -a*n + 4*x - 4 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5147559770 take away -5?\nAnswer: -5147559765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 52 + -14?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 + 3*u**2 + 2*u**2)*(-3 - 1 + 3) - 2*u - 11*u**2 + 2*u - 466 + 466 + 66*u**2.\nAnswer: 53*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1662, 2490, 3304, 4098, 4866, 5602, 6300, 6954?\nAnswer: 7558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 337674*v - 337719*v + 27 + 412. Calculate k(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v - 38. Let w be l(-9). Let j = w - -70. Suppose 0*h - y = -h + 88, j*h - 404 = -4*y. What is the highest common divisor of h and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 - 24 - 64*d**2 + (-2 + d + 2)*(0*d - 3*d + 4*d) + 3*d**2 - d**2 - 4*d**2 to n*d**2 + u + y*d and give n.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2290 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 z, and 1 k when four letters picked without replacement from ppvvkzvkalavlklkpvkk.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 3*m + 44 = 0, -37*w - 2*m + 8 = -41*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -34 + 21*f - f - 12*f. Let g be s(-12). What is the common denominator of -53\/2 and 0\/((-36)\/6) - g\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 432\/2520*(30\/36)\/(2\/(-20))\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 7. Let f be (c\/(-10))\/((-3)\/15). Suppose 2*q - f = -0. Let h(v) = 2*v**3 - 4*v**2 + 2*v. Calculate h(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2673 = -48*f - 47*f + 488 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -30132313 (base 4) to base 8\nAnswer: -143667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 205, 324, 477, 682, 957?\nAnswer: 1320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 3*z - 216, -2*i - 51*z + 46*z = -141. Let r = 27 + 41. Suppose r*q = i*q - 370. What is the remainder when q is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 5*u = -21, 23*u - 22*u + 3 = 4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*f - 2, 5*f = 2*u + 6*f - 6. What is the lowest common multiple of 11 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 20, 2, 75 in increasing order.\nAnswer: -2, 2, 20, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -8 (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - p + 1. Let l(o) = 4*o**2 - 8*o + 14. Let v(h) = 5*a(h) - l(h). Let j be v(-8). Round j to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*v**5 - 3700189*v**4 + 49607810*v wrt v?\nAnswer: 120*v**3 - 44402268*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1))\/((-115)\/(-345)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a second in milliseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2551529651?\nAnswer: 11, 223, 1040167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1149 + -1137. What is the greatest common divisor of 117 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010000011100110 - -10001100011?\nAnswer: -11001110010000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16947431?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, 12, 4, 39174, 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -4.2. Let r be ((-1)\/(-3))\/(20\/8). What is the second smallest value in 5, z, r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 157 and 158 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.01 (b) -3\/4 (c) 1\/3 (d) -6 (e) 4.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 10 = w. Let s = w - 3. Solve -s*q = -0*q + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + j - 2*j = -1, 5*g = -2*j + 2. Let l = 8 + -4. Solve 4*n - l - 4 = g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c**3*j**2 + 17*c**3 + 38176*c**2 - 14915*j**2 - j wrt j.\nAnswer: -4*c**3*j - 29830*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11517219, 23034433, 34551647?\n\"Answer: 11517214*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -0.002209\nAnswer: 0.011045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.941 microseconds in nanoseconds?\nAnswer: 50941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 16, n: 1, g: 3}. What is prob of picking 2 g and 1 n?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 2\/7, -0.2, -2124, -0.5, 4, 198?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/56)\/(16\/(-308))*84\/(-77)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 20 (b) -4\/9 (c) 0.4 (d) -0.0981\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -175, -484, -5 in ascending order.\nAnswer: -484, -175, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (96\/(-105))\/8*(1 + -6). Sort -2\/11, 0, j in decreasing order.\nAnswer: j, 0, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -50*h + 9. Let g be 15\/2 - (-13)\/26. Suppose -3*d = 4*a + 26, -4*a + d - g = -2*a. What is the tens digit of o(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (((-2200)\/(-32))\/25)\/(2\/8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 14 - 16 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/2 + (-2)\/(-4). Let b be 36*(2\/(-3))\/k. Calculate the highest common factor of 3 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = g + 2*g - 10, g - 9 = 4*d. Suppose -c - 10 = -r, 0 = -g*c - 6 - 4. Let i(w) = -8*w + w**2 + r - w**3 - 7 + 6*w. Calculate i(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -2*c + 16, 0 = -2*a - 6*c + 2*c + 2. Solve -255 = -a*x - 230 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 4:43 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294879796?\nAnswer: 2, 277, 266137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1451 rounded to the nearest 10?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00066325 rounded to five dps?\nAnswer: -0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26701*h**3 + 28243*h**2.\nAnswer: 160206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-28 + -1 + 6)) + -3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(7\/3)\/j**18*j**(2\/13)*j*j\/(j**(-33)\/j))**(-29) assuming j is positive.\nAnswer: j**(-23171\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010122 (base 3) to base 16.\nAnswer: bc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 61*y**2 - 16*y**2 + 2*y**2 + 37*y**2 + 135*y**3 + 12*y.\nAnswer: 3*y*(5*y + 2)*(9*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 10 + 2 - 15 + k**2 + 13*k. Determine a(-8).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 342 - -17?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 - 75*p**2 + 74*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*d*i*u**4 + 2*d*i*u**2 - d*i + 10*d*u - 2*d - 7*i*u**4 - 6*i*u**3 + 3*u wrt u.\nAnswer: 240*d*i*u - 168*i*u - 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = n - 113, 2*s - 6*n - 64 = -n. What is the remainder when 107 is divided by s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 11:57 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.3 + 7. Let x = d + 0.3. What is the second biggest value in x, 2\/11, -8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z + 2*z + 0*z + 7 + (-5 + 0 + 4)*(-3*z + 2*z + 3*z) + 32*z + 39*z + 20*z in the form x + t*z and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 2*l. Suppose -2*o - 5*n - 5 = l, -2*o - 2*n = 2*o - 14. Sort o, -5, 4.\nAnswer: -5, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 8) in base 4?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2 - 106*x - 693 = 0. Calculate x.\nAnswer: -99, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + m. Suppose 3*i - 44 = -o - 25, 2*o - 14 = -2*i. Let j(w) = 9*w**2 - 2. Calculate o*j(r) + 5*p(r).\nAnswer: 4*r**2 + 5*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3*x - 2*x - 5 = 0, -4*x = -20. Suppose -5*j = -s*j. Suppose -30 = -2*t - j*t + 5*o, -t + 4*o = -21. Solve 20 = t*n + 3*v - 4, 2*n = 2*v for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 5*c + 0*c + 25 = -8*c, -16*l + 13 = -20*l - 10*c - 7 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*m**2 - 8*m + 31*m - 12*m - 13*m.\nAnswer: 40*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103700*y + 103468*y - 207162*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 4) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(130) - -2*sqrt(130))\/sqrt(10) + sqrt(1053) + 2 - (-5 + 3 + sqrt(1300)*-2)**2).\nAnswer: -5202 - 68*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*z**4\/5 - 8*z**3\/5 + 78*z**2\/5 + 8*z - 40.\nAnswer: -2*(z - 2)**2*(2*z + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 3. Suppose 5*p = -2*i + 45 + 43, -m*i - 5*p = -156. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-5)\/a)\/a)**(1\/4) assuming a is positive.\nAnswer: a**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82367348 divided by 41183674.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4034.3 - -4032.96. What is the closest to 26 in 4, t, 2\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 12*k - 6. Suppose -5*a + 58 = -3*x, -2*a = -3*a - 4*x + 7. What is n(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 7, -3\/4, 0.0118, 1\/2, -2\/245, 3\/2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - ((-13 - -6) + -1)) + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zppz when four letters picked without replacement from {p: 5, z: 5}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2235 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001645368 rounded to 6 dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(-1 + 3 - 1). Let x(t) = 3*t**2 + t - 1. Let y be x(l). Does 13 divide (-1)\/1*y*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 14*u**2 + 21*u - 107. Let y(b) = -3*b - 1. Let g(n) = -d(n) - 4*y(n). What is the first derivative of g(t) wrt t?\nAnswer: -28*t - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 5:25 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 5 = b. Suppose -3*i = 4*k - 4, 2*k + i - b = 5*i. Let g be 1\/(-3 + k)*3. Sort 29, g, -1 in increasing order.\nAnswer: -1, g, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2*v + 23 = -2*v, -2*v = -4*s - 8. Let g = -46 + 44. Which is greater: g or s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-9)*3\/(-1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-33)\/(-1287))\/(19\/(171\/4)).\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 700, 699, 698, 697, 696, 695?\n\"Answer: -o + 701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -921*p*v**2 + 3*p*v + 4*p + v wrt v.\nAnswer: -1842*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 197990 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77930 = 8*r + 3*r - 9*r. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3*p = -1162, u + 4*p + 626 - 936 = 0. Calculate the highest common factor of u and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + 3*d - 1679 - 810.\nAnswer: 2*d - 2489","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 2\/941 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1350*r - 1359*r = -54 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 99 - 97. Suppose 32 - b = 5*r. What is the smallest common multiple of r and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -53, -190, -455, -890, -1537, -2438, -3635?\nAnswer: -5170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 4\/7*h**2 - 8\/7*h + 2 - 2\/21*h**3. Determine f so that i(f) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -12*b + 146. Let y be v(12). Suppose 14 = q + y*i, -4*q + 3*i - 4 + 38 = 0. Solve 22*u - 27*u + q = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-43 - (-6 + -64))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*n - 24*n + 0*n)*(n**2 + n**2 - 4*n**2).\nAnswer: 82*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -29*x**2 - 6*x - 948. Let l(d) = 2*d**2 + d. Let p(i) = b(i) - 3*l(i). What is the first derivative of p(g) wrt g?\nAnswer: -70*g - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 27393, 54786, 82179, 109572, 136965, 164358?\n\"Answer: 27393*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = f + 2*f + 88, -2*f = 2*l + 60. Let d = -19 - f. Let h = 15 - -17. Calculate the remainder when h is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2690 - -2683. Put t, 7, -3, -1 in descending order.\nAnswer: 7, -1, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -415\/6 - -69. Let c = 19.1 - 20. Let w = -4.1 + c. Sort r, w, 1\/11.\nAnswer: w, r, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4.8, -0.1, -0.4, -2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 261079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220 + 122021110010020?\nAnswer: 122021110011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -3*x + 48, -4*x + 4*k + 60 = -4. Suppose 0 = u + j - 16, -5*u + 5*j + 16 = -4*u. Is u less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.7 - 7. Let v = 1.3 + l. Which is greater: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -6 + 4*k + 0*k**3 - 5*k**2 - 12*k - k**3 - 4. Let i be q(-4). What is the smallest value in i, 3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -81*k**2 - 84. Let v(i) = -148*i**2. What is o(v(u))?\nAnswer: -1774224*u**4 - 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 29*v**2 + 20*v - 464. Determine m(-5).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by -60934.\nAnswer: 11\/30467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*l**4*p**2 - l*p**2 + 3*l*p + 2704*p**2 wrt l?\nAnswer: 48*l**3*p**2 - p**2 + 3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 717*b**2 + 727*b**2 - 1461*b**2.\nAnswer: -17*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 46\/16 + 1\/8. Solve 4 = r*f - f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(48\/(-142)) + 141\/1128. Solve -j*m = -27 + 72 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 110\/16 + 3\/24. Solve -k*a = -20*a - 45 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -n**2\/2 - 4*n + 1. Is 3 a factor of b(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 467.4 + -467.2. Sort h, 491, -2, -1\/4 in decreasing order.\nAnswer: 491, h, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.62 - -1.34. Let m = -0.3 + 0.34. Let j = w + m. Which is the nearest to -2\/7? (a) -1 (b) -1\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1425 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 480 divide 492480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 78 + -72. Solve o = 2*i + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 585, 2380, 5373, 9570, 14977, 21600, 29445?\nAnswer: 38518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18961 + 765.6?\nAnswer: 19726.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -266*m**2 - 56*m + 306. Let y(g) = 24*g**2 + 5*g - 27. Calculate -6*a(v) - 68*y(v).\nAnswer: -36*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**5 + 4713*f**4 - 7163424*f**3 + 3795550168*f**2 - 650185095600*f + 646396704144 = 0. Calculate f.\nAnswer: 1, 414, 1942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 795424560 to the nearest one million.\nAnswer: 795000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 3. Let x be w(-7). Suppose 4*h = -x*f, -4*f = -h + 6 - 16. Let u(b) = 15*b - 41*b + 24*b. Let j(a) = -12*a. Calculate h*j(k) + 11*u(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11446 and 2910.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*t**2 + 109*t - 26*t**2 - 41*t**2 + 96*t**2 - 109*t.\nAnswer: -32*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -371 (b) 1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140, -272, -396, -512, -620?\nAnswer: -720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(6\/5))**22 assuming v is positive.\nAnswer: v**(242\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/5 - 199234*y**3\/5 + 9924742021*y**2\/5 - 119075387844*y\/5 + 357204647556\/5.\nAnswer: (y - 99611)**2*(y - 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 586997065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -332.269 - 22.051. What is c rounded to the nearest 10?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 236?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**3 - 13*p**2 + 37*p - 46. Let n be r(5). Solve 61*o - n = -6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z - 103. Determine t(88).\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5084 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five quarters of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -21.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -281 or -273?\nAnswer: -281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3910*v. Let g(u) = 29*u - 10. Determine p(g(j)).\nAnswer: 113390*j - 39100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 696.8329 weeks to nanoseconds.\nAnswer: 421444537920000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(675) + sqrt(27) - (sqrt(27) - sqrt(27)*-1*4))\/(sqrt(9) - (sqrt(9) + (2*sqrt(441) - sqrt(441))) - sqrt(108)\/(sqrt(12)*1)).\nAnswer: -sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmmmmfkmgemkmmmmkmtm. Give prob of picking 2 m.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zofzfwffzo. Give prob of sequence zwzo.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 207 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3722370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*v**2 + 560*v**2 - 8*v**2.\nAnswer: 534*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54 - -69. Suppose -y + 2*y - 5 = 3*l, 3*l - 1 = -2*y. Let r = l + a. What is the highest common factor of r and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -9. Suppose -16 = -4*c + 4*h, -5*c - 2*h = 1 - 0. Suppose 3*k - k = -i + c, 5*k = i - 8. Do t and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 186651, 186657, 186667, 186681?\nAnswer: 186699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**5 + 43028*r**4 - 215156*r**3 + 387290*r**2 - 301229*r + 86066 = 0.\nAnswer: -43033, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - 2.728437?\nAnswer: -35.728437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -3, 383, -4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21504 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 67*f**4 + 9*f**2 + 61. Let k(l) = -17*l**4 - 2*l**2 - 15. Let d(g) = -9*k(g) - 2*n(g). Differentiate d(t) with respect to t.\nAnswer: 76*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 348, -2, 5.9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1221*l = 1235*l + 756. Let r(b) = -b**3 - 55*b**2 - 52*b + 102. Determine r(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*u + 40, -2*u + 8*k = 11*k + 7. Let q be 2\/u + (-39)\/(-78). Let i = 4\/35 - -24\/35. What is the closest to 8 in q, 2, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2. Let i(h) be the third derivative of 0*h**4 + 0 - 179\/30*h**5 + 0*h**3 - 11*h - 3*h**2. Calculate z(i(t)).\nAnswer: -256328*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.5, 2, 1\/15, 0.29, 4, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -9, -11, -11?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 17*h - 12 = 0. Suppose -3*l - 2 = -h*l. Suppose -53*n = -42*n - 11. Put n, -3, 0, l in descending order.\nAnswer: l, n, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + (-28)\/(-8)*16\/28. Let s(j) = -15*j**2 + 7*j - 7. Let p(x) = 5*x**2 - 2*x + 2. Give n*p(l) + 2*s(l).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (4 - 17) + 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1145865 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10024, 10129, 10234, 10339?\nAnswer: 10444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 615 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 3*g - u - 6, 3*g + 3 = -2*u. Let c = -19 - -10. Let b = 8.6 + c. Sort b, 1\/4, g in ascending order.\nAnswer: b, 1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 201230.4272543 - 200356.42723. Let h = 874 - w. Round h to six decimal places.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -5*d - 0*d + 18, 0 = -4*q - d + 36. Let u(y) = -2*y + 20. Let i be u(q). Let c = -4 - -8. Solve 5*g - 3*z - 9 = 6, -i*g = -c*z - 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59361?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -17*b**3 - 61*b**2 + 9*b + 21. Give o(-6).\nAnswer: 1443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(10\/9)*l*l*l*l\/(l\/((l*l**(-2)*l)\/l))*l)\/(l**(4\/21)*l\/l**(-3\/2)))**(-17) assuming l is positive.\nAnswer: l**(-3043\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -w + 4, 3*b = w + 8*b + 8. Suppose 0 = w*a - 22 + 4. Do 9 and a have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17449, -17457, -17467, -17479, -17493, -17509?\n\"Answer: -h**2 - 5*h - 17443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(1053) - -3*sqrt(1053))*-6 + sqrt(1053))**2 + (4 + sqrt(1053))**2 + -2.\nAnswer: 72*sqrt(13) + 558103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 divided by 6?\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of p**4\/4 - p**3\/6 - p**2\/2 + 2010*p. Let b(j) = 5*j**2 - 2*j - 2. Determine -6*b(r) + 11*u(r).\nAnswer: 3*r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i. Let s(v) = 205 - 205 - 130*v. Calculate l(s(j)).\nAnswer: 260*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -4*f**3 + 165452*f**2 + 7452784*f + 27163648 = 0.\nAnswer: -41, -4, 41408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (0 + (-7 - (-5 - -4)) - -24)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 2:41 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/4162 + 16641\/29134. Let l = -0.14 - -14.14. Let z = 0.1 - -3.9. What is the nearest to -2\/9 in l, s, z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p - 2*p**2 + p + (3*p + p + 3*p)*(22*p - 36 + 36) - 2*p**2 - 2*p**2 + 5*p**2 - 50*p**2 - 36*p**2 + 141*p**2 as b*p**2 + i + x*p and give b.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24894539 rounded to three decimal places?\nAnswer: 0.249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-9\/8))**24\/((c*c\/(c*(c**(2\/59)*c)\/c))\/c**(-34)))**(-2\/103) assuming c is positive.\nAnswer: c**(4480\/6077)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**6\/135 - s**5\/90 + s**4\/54 + s**3\/27 - 4*s + 3. Let x(l) be the first derivative of m(l). Find g such that x(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 160 - 106. Let f be (14\/(-4))\/((-8)\/84*63\/648). Calculate the greatest common divisor of n and f.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a centimeter in micrometers?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 40 = -4*y. Suppose -k = k - y. Solve 3*a - k*a + 2 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 299526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 123 - 119. Sort r, 1\/5, 6 in ascending order.\nAnswer: 1\/5, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 - 681*s + 1358.\nAnswer: (s - 679)*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 10 - 2 = 0. Suppose 115 = 4*q - 2*s - 187, -n*s = 4*q - 308. Is q a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 963645?\nAnswer: 3, 5, 17, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21577\/25 - (-8)\/(-100) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*l = -17*l - 230*l - 458*l - 32759 for l.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 108*w - 19983. Let r be o(185). Let v = -1.8 + 2. What is the third smallest value in 4, -1, r, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 79225*n. Let d(z) = 136*z**2. Give p(d(v)).\nAnswer: 10774600*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 4326*a - 1 - 2027*a to c*a + u and give c.\nAnswer: -6353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 80*l**3 + 2 + 64*l**3.\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*n**3 + 70*n - 690 wrt n?\nAnswer: -24*n**2 + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 380 and 11438.\nAnswer: 114380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.35841 rounded to one decimal place?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 3*d - 2 - 4*d)*(2 + 4 - 10).\nAnswer: 4*d + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 9*n**3 + 67*n**2 + 14*n - 101. Determine w(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.26 + -1163358.\nAnswer: -1163357.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 59455 at least as big as 408?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*y - 99*y - 650 + 170 = 3*b, 3*b + 2*y - 6 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, 0.2344, -10 in ascending order.\nAnswer: -10, 0.2344, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2469.7 (b) -0.078 (c) 5 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 - 6740*u**2 + 2284800*u - 9031680.\nAnswer: 5*(u - 672)**2*(u - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5418 by 14.\nAnswer: -387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*x = q + 27, -2*x = -5*q. Let h be (x\/((-10)\/8))\/2. Solve 0*w + 3 = -5*a - 3*w, 2*w + 2 = -h*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*t - 88*t - 110*t**2 + 46*t.\nAnswer: -110*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n + 3 - n**3 + n**3 - n**3 - n + 10*n**2. Let t be g(10). Let q = t - -63. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 4*l + 160, l + 74 = -4*t - 43. Let y = 62 - t. Let f(z) = 15*z + 158. Calculate the remainder when y is divided by f(-9).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -19*y**3\/3 + 1. Let x(i) be the second derivative of 200*i + 0 + 2\/3*i**3 + 0*i**2. Give x(w(q)).\nAnswer: -76*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - 3. Let h be k\/(-10) - 4\/(-8). Suppose -p - 306 = -h*p. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 5*i + 6. Let a(b) = b**3 + b**2 + 6*b - 7. Calculate -4*a(j) - 5*x(j).\nAnswer: j**3 - 4*j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3230012 (base 6) in base 13?\nAnswer: -5773a","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/((-1 + 0)\/2) + -4. Suppose 3*c + 4*j - 74 = z, 3*c = -2*j + 3 + 61. Let o(q) = 4*q + 1. What is the remainder when o(12) is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 19*n + 305. Let r be a(-15). Solve 0*v = 2*y + 4*v + r, 0 = 4*y + 5*v + 25 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**3*k)**(-44)\/(k**(2\/17)*k**(-10)))**(5\/8) assuming k is positive.\nAnswer: k**(-4465\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32545509, 65091012, 97636511, 130182006, 162727497, 195272984, 227818467?\nAnswer: 260363946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((1*sqrt(539) + 1)*6 + -1*(sqrt(704) + 0)*5)*6)**2.\nAnswer: -2880 - 864*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -5, 5, 498, 3, 0.\nAnswer: -5, 0, 3, 5, 13, 498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 5964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 101024505 to the nearest integer?\nAnswer: 10051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 13 = 7*t. Suppose -4*g + 30 = g. Factor -3 - 5*v**4 - g*v**3 - 12*v - t*v**2 + 4*v**4 - 1.\nAnswer: -(v + 1)**2*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r = -5*r - 89*r - 410 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/165)\/((-2)\/(-30))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 109149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/33 and (-109)\/(-3)*3\/18 - 4?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 221401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**4 - 1 + 0*u**4 - 2*u + 8*u**2 - 5*u**2 in the form t*u**2 + l*u**4 + f + k*u**3 + p*u and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*u = 0. Let j be 2\/(4\/8 - u). Differentiate -22 + 197*m**4 - 175*m**j + 0*m**2 + 0*m**2 wrt m.\nAnswer: 88*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-169)\/(-171) - 1)*-43*132\/(-8514)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 + -22. What is the second derivative of -9*l + l**3 - l**3 + r*l**3 wrt l?\nAnswer: 42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f - f - 30 - f - 5*f. Let a be m(0). Let k = -30 - a. Solve -h + 0 + 4 = k for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 397556, 397551, 397544, 397535, 397524, 397511, 397496?\nAnswer: 397479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + f - 2 - 8 = 0, -4*m = 5*f - 6. Solve -5*z - m*g = 10, -4*z - 7 = -g + 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1064*a**3 + 21701*a**2 - 14*a + 29843836?\nAnswer: -6384*a + 43402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 12*s + 339. Let d be o(-28). Let n be (-36)\/(-20)*(d\/(-9) + 7). Calculate the highest common factor of 69 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*l, -4*a + 0*l = -2*l + 50. Let c be (10\/(-4))\/(a\/24). Let d(z) = 14*z - 4*z - 10*z - c*z**2. Let g(q) = 6*q. Give d(g(o)).\nAnswer: -216*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**2 - 36*m - 37. Let h(f) = -f**2 + 37*f + 37. Let x(w) = 2*a(w) + 3*h(w). Let j be x(-12). Solve 0 = -t + 5*u - 2, u + 7 - j = -3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 5*b + 369, -k + 34 = b - 97. Find the first derivative of o**3 + 3 + 128*o - k*o wrt o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 260431807*k**3 + 228295742*k**2.\nAnswer: 1562590842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 20. Let l be (u\/4)\/((-3)\/(-8)). Let i(j) = -2*j**3 - 12*j**2 + 1. Let a be i(l). Which is smaller: a or -2\/53?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(75)*1 + 0)**2*-2*1.\nAnswer: -3750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -216.3 + 199. Let k = j - -17. Which is the smallest value? (a) 5 (b) 0 (c) k (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28033 is divided by 27982?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*r + 129*r - 2344438. What is the ten thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12030 - 12030 - 19*g**2.\nAnswer: -19*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (37126 + 1)*(-46 - -93). Let i = c - 3310969. Round i to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qollolooo. Give prob of sequence ql.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/517*(7*(-406)\/(-3822) - (-1)\/(-13))?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l + 2. Let s be x(-3). Suppose -9 = 2*v + 1. Which is the nearest to 1\/3? (a) -2\/3 (b) v (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 848 - 320 = 0. What is the greatest common divisor of s and 319?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 7:43 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -77 + 15*j - 52*j + 72. Let x be q(-5). What is the common denominator of 2\/(-8) - ((-507)\/x)\/1 and -61\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154 - 183 + u**2 + 337.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20378?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18938 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + g**2 - g. Let u be x(3). Suppose 92*f - 87*f = 495. What is the greatest common factor of f and u?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - -2*(-5)\/(-2). Suppose y*a - 24 = -s, -2*a - 8*s + 4*s = -6. Sort 6, a, -2.\nAnswer: -2, a, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/48, 4, 1, -31 in decreasing order.\nAnswer: 4, 1, 1\/48, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 44950 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -4*u**2 + 25 + 5*u**2 - 26. Let p(q) = 2*q**2. Calculate n(p(w)).\nAnswer: 4*w**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 7*o**2 - 5*o - 6. Let n(y) = 6*y**2 + y + 1. Let c be n(-1). What is b(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**5\/20 + a**4\/24 + a**3\/3 - 5*a**2. Let c be x(-5). Suppose -d + c = 2*d. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -277 - -344. Let r be -4 - (10\/(-8) - 21\/28). Which is the third smallest value? (a) r (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 0 - 1\/12*i**5 - 1\/120*i**6 + 0*i**3 - 1\/8*i**4 - 4*i**2 + 0*i. Is p(-5) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3*(5 + sqrt(128)\/sqrt(4) - sqrt(32)))**2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7334073738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 37 - 12*a**5)*(-6 + 3 + 2).\nAnswer: 12*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -dd152?\nAnswer: -dd156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 47. Suppose 3*i + d = 4*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2. Let w(g) = -2*g**2. Let j be (-56)\/12 - (-7)\/(-21). Determine j*u(s) + 3*w(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - -5. What is the second derivative of g**5 - 25*g - 8*g**5 + b*g - 3*g**5 wrt g?\nAnswer: -200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.258 in -2\/5, 0.2, 5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of z**6\/720 + z**5\/60 - z**4\/6 - z. Let h(v) be the third derivative of c(v). Let a(y) = -y. Calculate -a(l) + h(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 513 a factor of 2658879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207262809 a multiple of 269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 17, z: 2}. Give prob of sequence zzf.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8915, -8916, -8917, -8918, -8919?\n\"Answer: -x - 8914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggrggggg. Give prob of sequence rg.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h = -744 - 600. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 33 + 21. Let x = b + -18. Suppose -7 = -5*c + 8. Solve x = -r - 2 + c for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-32)\/(-56) - 4\/(-2)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 1. Let r(p) = -8*p**2 + 28*p - 28. Give 56*g(f) + 2*r(f).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 63 = -p, -3*l + 5*p + 53 = -6*l. Suppose 0 = 3*z + 2*r + 5, 0*z - 4*r = -2*z - 14. What is the units digit of (-52)\/l - z\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7792 times -6?\nAnswer: 10.6752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -132*h**2 - 167*h.\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -159*o**4 - 135249*o - 683639041 wrt o.\nAnswer: -636*o**3 - 135249","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 294427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 8*u - 20. Let d(l) = l + 15. Let a be d(-25). Let r be w(a). Solve -2*p - 2 - 2 = r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -0*a + 2*a. Calculate the remainder when 0\/a - (-120)\/2 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01312204 to five dps.\nAnswer: -0.01312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*g**2*y**4 + 2*g**2*y**2 + 2*g**2 + 4*g*y**4 - 276 wrt y?\nAnswer: -600*g**2*y + 96*g*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-20)\/90*5\/(25\/(-30))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -6*y - 2*y**3 + 5*y - y**2 - 3 + 4*y**2 + y**3. Suppose -4 = -2*n + 2. Calculate b(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 301*k - 13664. What is v(40)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/5 - 72*l - 363\/5.\nAnswer: 3*(l - 121)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9614, 19239, 28878, 38531?\nAnswer: 48198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f - 58*f + 2106 = 0. What is the smallest common multiple of 297 and f?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*x - 5 - 11 = 0, 2*c = -4*x - 22. Let s = -27125 + 27051. Put s, c, -1, 2 in increasing order.\nAnswer: s, c, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 1. Let j be (1 + -2)\/(d\/3). Let g be j - (-1*2)\/2. Solve n = -2*u - 4, 0 = g*n - 0*n + u - 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7994 is divided by 3967.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f. Let m be g(-2). Solve w + 5 = 3*i, 0 = m*i + 3*w + 2*w - 32 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*j = -476, 11*z = 7*z - 2*j + 936. Is 58 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**5 + 0*o**5 - o**5 - 2*o**5 + 1 - 1 + (2*o**4 - 2*o**4 - 3*o**4)*(0*o + 2*o - o).\nAnswer: -6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 41. Suppose -r = -24 + i. What is the least common multiple of (-1*3)\/((-3)\/2) and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3097159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 14 (b) -5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35595947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + sqrt(143) + (-2*sqrt(143) - sqrt(143)) + sqrt(143))*-6*6)\/(-3*sqrt(22)\/sqrt(2) - (sqrt(99)*-1)\/sqrt(9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 558653*m**2 - 3505*m - 558652*m**2 - 3 as j*m**2 + r*m + x and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -196 or -0.337?\nAnswer: -0.337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-10) + 864\/135\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/2)\/((-12)\/192*-36).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30139303478 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*p - 2*d - 9, -10 = -5*d. Solve 0 = p*n - 4*n + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millisecond in microseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16388594?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.06053 rounded to 1 dp?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + w - 3*w)*(2 + 0 - 1) + 0*w + 3*w - 4*w + 2 + w - 2 - w + 0*w - 4*w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -0.2 (b) -9 (c) -2\/57 (d) -11\/5 (e) -34 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -102900 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1175 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 2 (c) -1\/3 (d) 0.19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-11)*c*(c*c**37*c)\/c)\/(c**(1\/3)\/c*c\/c**20) assuming c is positive.\nAnswer: c**(143\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -10000001000?\nAnswer: 10000000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 2 - -3 - -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 66) + (-13 - 1 - (0 + -16)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 12 = -5*l. Suppose 4*s - 5*f - 179 = 0, -2*f + 189 = l*s - 5*f. What is the greatest common factor of 17 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j + 728. Let p(d) = -6*d**2. Calculate p(z(r)).\nAnswer: -96*r**2 + 34944*r - 3179904","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 0.02359, 2\/11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 870 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -d + 25, 3*d + 10 = 4*c + c. Let l(m) = 4*m - c*m + m - m**2. Let y(x) = -8*x**2 - 2. Determine 6*l(a) - y(a).\nAnswer: 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 507 + -1?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b + 1. Let c(q) = -2*q + 3. Determine -3*c(l) + 4*g(l).\nAnswer: -2*l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-9) - (9 - (-191)\/(-9)). Solve -9*i - r = -5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.522926 rounded to one dp?\nAnswer: -9.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/4)\/(6\/8). Let r = 0.8 + -0.7. Sort b, 1\/5, r in decreasing order.\nAnswer: 1\/5, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 3*u, 2*p = -u + 5*u. Suppose 81 = 5*n - p*n - 3*c, -2*c - 34 = -2*n. Calculate the remainder when n is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21*(-2)\/(-6) + -5. Suppose -y*t - 195 = -5*o, 3*t + 368 = -o + 33. Let n = 66 - t. Does 16 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*n - 319, -3*g - 3*n + 444 = n. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 56 = -2*x, -4*p = -7802*x + 7799*x - 56 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -1796.1 - -1796. Which is the closest to 0? (a) h (b) -2 (c) -5 (d) -23\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -4 + 1012\/18 + (-6)\/27 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22757 is divided by 7463.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**4 + 14116*n**3 - 860028*n**2 + 4778604*n - 6977016 = 0. Calculate n.\nAnswer: -3589, 3, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (537*z - 535*z - 4070 + 12531)*(0*z**2 - 3*z**2 + z**2) to the form k*z + h*z**3 + r*z**2 + j and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 1. Let k(w) = 4*w**2 + 16. Let f = 33 + -17. Let h(p) = f*z(p) - k(p). Let y(t) = -7*t**2 + 16*t**2 - 11*t**2. Calculate y(h(u)).\nAnswer: -32*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 10*b - 4. What is a(-6)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(((-19)\/(-57))\/(2\/12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 6*n + 27. Let f(c) = 5*c. Determine b(f(s)).\nAnswer: 30*s + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 10*v = 4*n - 43, n = 2*v + 16. What is the greatest common factor of 15 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -t**3\/3 + t**2\/2 + 2*t - 3. Let y be z(2). Solve y = -4*x + 3*c - 16, -5*x + 1 - 2 = c for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -86, -88, -92, -98, -106?\n\"Answer: -n**2 + n - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 1001*t. Let o(z) = 5*z. Calculate o(p(h)).\nAnswer: 5005*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1309161\/(-204))\/(-7) + (-6)\/(-8). Let f = w - 241573\/102. Let z = f + 1439. Find the common denominator of z and 55\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5*p**2 + 6*p - 4. Let f(q) = -9*q**2 + 13*q - 7. Suppose -13*r = -4 - 31 - 4. What is r*f(t) - 5*x(t)?\nAnswer: -2*t**2 + 9*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/14)\/(2\/7). Suppose 4*a = -2*h, 3*h = -a + c*a. Suppose -2*d + 37618 = -5*s - 14377, -3*d - 5*s + 78005 = a. Round d to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 135 - 132. Calculate the common denominator of 26\/33 and v + 2 - (-62)\/10.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2512788940 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 194 + -98. Let n be (-127)\/4826 + (-66885)\/(-190). What is the greatest common factor of h and n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 11. Let m be (-10)\/(-28) + x\/4. Let c = m - -67\/28. Is 3 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4842 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50.1 - 50. Let b = -2.3 - -2.1. What is the closest to -2 in k, b, 4\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4393, 8786, 13179, 17572, 21965, 26358?\n\"Answer: 4393*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*x + 130687 = -112593. What are the prime factors of x?\nAnswer: 2, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in 5, 2\/17, -20, -4\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7881.276 millennia to decades.\nAnswer: 788127.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/882 and -109\/28.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102 and 425?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 9*y + 11. Suppose 1\/3 - t**y - 2\/3*t**3 - 1\/3*t**5 + 2\/3*t**2 + t = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336717.6 hours in days?\nAnswer: 14029.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 167 + -7?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 52343 != 366406\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*4*sqrt(833)*-1.\nAnswer: 168*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 14*r - 8. Let c be y(15). Suppose -3*z = -c*z + 132. List the prime factors of z.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + (-1 - -14) + 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 1, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/216 and -13\/360?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 231 and 1211469.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2421 + 36351?\nAnswer: 42102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 2*z + 30 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 857 + 849 - 2393 + 687 + 40*n.\nAnswer: 40*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(3\/12*-6). Sort v, 1\/2, -4 in descending order.\nAnswer: 1\/2, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1096 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -19018869 divided by -76381?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yely when four letters picked without replacement from yeeeyyylylyyyyyyyy?\nAnswer: 13\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1626 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 2*b = -8. Suppose 2*l + 6 = 2*u, -3*l - b*u = -8*l. Suppose -7 - 21 = -l*k. What is the remainder when 25 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4664161 is divided by 237?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.9728873 centimeters?\nAnswer: 0.009728873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, u: 1, c: 6, m: 3}. Give prob of sequence umc.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 319672191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82 - 71. Suppose -p*l = -10*l - 2. Let s(c) = 15*c + 19*c**2 - 13*c - l*c**2. Let o(i) = 2*i**2. Calculate s(o(r)).\nAnswer: 68*r**4 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 2.4. Let z = 0.600004 + l. Round z to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55929 and 13575?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 934 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: Suppose -36*m = -40*m + 8. Let z = m - -3. Suppose 6\/7*i**4 - 6\/7*i**3 + 0 + 0*i + 2\/7*i**2 - 2\/7*i**z = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lqrwffjrfllqq. What is prob of picking 1 w and 3 q?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34661456 is divided by 469?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 7. Suppose -3*u + 2 + 28 = j. Suppose 5*d + 2*t - 195 = 0, -5*t + 5 = -4*d + 161. Calculate the remainder when d is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2 + 2*d**2 - 3 - 2*d**3 + 4. Let t(m) = -m**3 + 1 + 1 - 2*m**2 + 3*m**2. What is 10*t(v) - 6*z(v)?\nAnswer: 2*v**3 - 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, 14562, 1 in decreasing order.\nAnswer: 14562, 7, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 124838 (base 10) to base 12\nAnswer: 602b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/6*d**2 + 0 + 31\/2*d = 0. Calculate d.\nAnswer: -93, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11 + 282\/30)*(-1)\/6. Sort i, -3, -0.3 in decreasing order.\nAnswer: i, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 8:03 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (552\/64)\/(2709\/14448).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 178310?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 2*c + 4, -12*c + 9*c = -4*a - 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 10, 4, -24, -4, -2, 194 in ascending order.\nAnswer: -24, -11, -4, -2, 4, 10, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 7:57 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 703937.6 years to centuries.\nAnswer: 7039.376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-955)\/(-40) - 1\/(-8) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 - 79 = -5*l + 2*o, 5*o = 0. Solve 4*t - 37 + l = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4901654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6786.134m?\nAnswer: 6.786134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**2 + 3*n + 37. Let k(b) = b**2 - 2*b - 23. Calculate 8*k(h) + 5*y(h).\nAnswer: -2*h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-8 - -7) - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1122\/100927 or -1?\nAnswer: 1122\/100927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 110*g**2 + 1634*g - 394. Let x be c(-18). Factor -3\/8*z**3 + 51\/4*z + 27\/8*z**x + 9.\nAnswer: -3*(z - 12)*(z + 1)*(z + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 240 = -29*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (4\/12 - (-1074)\/(-144))\/(-15) and -73\/48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 12. Let m = -0.14 - -0.04. Let j(v) = -v**3 + 85*v**2 + 171*v + 257. Let f be j(87). Which is the nearest to -0.1? (a) o (b) f (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwiwwdwwiiiidid. What is prob of sequence idd?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z**2 - z**2 + 2*z**2)*(8 + 2*z - 2 + 6) to r + t*z**3 + f*z**2 + s*z and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*n + 8. Let z(c) = c + 6. Let d(p) = p**3 - p - 6. Let x be d(0). Let s(v) be the first derivative of v**2\/2 + 5*v + 1. Determine n*s(j) + x*z(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 2, 13, 32, 59?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3567839 by 5.\nAnswer: -3567839\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*x - 530 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*b**3 + b**4 + 38*b**3 - 4*b**4 + 382*b + b**4 in the form f*b**2 + t*b + q + c*b**3 + w*b**4 and give t.\nAnswer: 382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + a**2 - 2*a + 2. Let h be b(0). Let r(w) = -2*w**3 + 3 - 6*w + 9*w + w**3 - 3*w**h. Give r(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 6.85 (c) -0.4 (d) 0.14 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 63, 1 in decreasing order.\nAnswer: 63, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -925657, -925658, -925659?\nAnswer: -925660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13014, -52007, -116984, -207945, -324890, -467819?\n\"Answer: -12992*g**2 - 17*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = 2*d - 20. Let z = 64 + d. Calculate the highest common factor of 55 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 103.44 rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 20, 3*k - 6*k + 35 = 5*d. Suppose -4*t + 210 + 374 = -d*a, -3*a - 292 = -2*t. What are the prime factors of t?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/5*(-1230)\/1148. Let m be 6\/24 - (-52)\/(-48). Sort 0.3, u, m.\nAnswer: m, u, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163700888 is divided by 1942?\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2949 divided by -983.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 60455626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -24.99999907. What is j rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-6))\/((-1)\/(-3)). What is the biggest value in 1, -2, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.876062 years to centuries.\nAnswer: 0.03876062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 8*t = 0. Let w be (t + -1)*(20 - 5). Is ((-12)\/w)\/((-1)\/(-40)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -651, -3, 3 in descending order.\nAnswer: 3, -1, -3, -4, -651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246627261 divided by 243.\nAnswer: 1014927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2750*t + 2450. Let d(j) = 8*j - 7. Let n(h) = -1750*d(h) - 5*q(h). Let a(f) = 70*f. Give n(a(o)).\nAnswer: -17500*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12978235188 and -1.8.\nAnswer: 12978235186.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1761 - -4) + 3 + -1 + 0. Calculate the highest common factor of 57 and r.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 733 = -5. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 837\/84 + -10 + 2\/16*-2. Sort 15, k, 1.9, -2\/3, -3 in decreasing order.\nAnswer: 15, 1.9, k, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 268*m + 172. Let d(o) = -2*o**2 - 32*o + 120. Let p be d(-19). What is the tens digit of r(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 890902 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3020 = 68*z + 2479 + 2105 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xymm when four letters picked without replacement from mmyxymyyyymxx?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/550 and -77\/4539270.\nAnswer: 249659850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6))\/(44\/(-165)*(-5)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18341005.\nAnswer: 5, 23, 43, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28? (a) 0.2 (b) 1\/3 (c) -9\/14 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2 - 7. Suppose 0*t = -4*r - 5*t + 39, 5*r = -t + 75. Let u(p) = -p + 17. Let o be u(r). Sort 3, o, q in decreasing order.\nAnswer: 3, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - (-53 + 107 + -16 + -11).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 7:10 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.22 + 16.3. Let v = u + -0.08. Let s = 0.04 - -0.96. Which is the smallest value? (a) v (b) 0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1843058?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 46.1121ml?\nAnswer: 0.0461121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -456, -1170, -2360, -4026, -6168, -8786?\nAnswer: -11880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (1 - (7 - -1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by -145351?\nAnswer: -17\/145351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27512265 is divided by 9170746.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 1:15 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a milligram in micrograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 7*i**2 - 7*i + 11. Let o be c(-8). Solve 20 = 4*h, 4*h = 2*b + o*h + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**3 - 3*o**3 - o**3 + (-1 + 1 + o**2)*(6*o + 0*o - 5*o) - 1 + 1 + 3*o**3 - o**3 + 2*o**3 + 3*o**3 to j*o + h*o**3 + c*o**2 + d and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (0 - 3) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 242 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2715.36 and -699?\nAnswer: -1898036.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 2*w - 4 = 0, -3*w = -39*j + 43*j - 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 240444422 (base 5) to base 11.\nAnswer: 698531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 57303720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 22\/242*11*-12 - (-1)\/(-1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 611 + -1831\/3. Let x(i) = 6*i**3 - 2*i + 1. Let m be x(1). Suppose 2 = -4*u - 3*p, 0 = -p + m - 3. What is the third biggest value in u, g, 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6749, 13500, 20253, 27008, 33765, 40524, 47285?\n\"Answer: l**2 + 6748*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 645272, 645515, 645758?\nAnswer: 646001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*s - 4. Suppose 3*p - p - 40 = 5*q, 40 = 2*p + s*q. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 i when two letters picked without replacement from vkivritvtviv.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00418 rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 4*i**3 + i**3 + i**3 - 10*i**2 to c*i**2 + n*i + v + m*i**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 462*f - 5538. Determine k(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+62051299887\nAnswer: 62051299886.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-4)*(-24)\/(-9). Suppose c*b - 26 = 2. Let x = -98892 + 98899. Calculate the greatest common divisor of x and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(10\/3) + 10\/(-25). Let k(i) = -41*i**3 + i**2 + i - 19. Let t(l) = l**2 + l + 1. Let y(d) = p*k(d) + t(d). What is the derivative of y(h) wrt h?\nAnswer: 123*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 241*b*h**2 - 2365*b*h + 1032287251*b - 7*h**2 + 3*h with respect to h.\nAnswer: 482*b*h - 2365*b - 14*h + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -225044*-17.6.\nAnswer: 3960774.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 + 44. Suppose q = 2*l, 44 - 18 = -m*q - 3*l. Let v(f) = 4*f**2 - 8*f - 18. What are the prime factors of v(q)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/5)*h*h)**(-3\/17)*(h**2)**29 assuming h is positive.\nAnswer: h**(4882\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 15*w**2 - 7*w - 22. Calculate x(-15).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -402 divided by 2?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -1. Let p(q) = -28*q**2 - 2*q + 1. Calculate 3*g(n) + p(n).\nAnswer: -28*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11761 not equal to 11759?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 36375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(18\/8) + 12799996. Round b to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 295.081 - 0.081. Let r = 295.000482 - f. What is r rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 + 8*n - 6. Let g be u(-5). Suppose 0 = -12*v + 9*v + 2*l + 147, -g*v - 2*l + 210 = 0. Calculate the remainder when 205 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4691 + 4686. What is the closest to 1 in 1\/10, f, 5, -15?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -167640729+-0.0596\nAnswer: -167640729.0596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -49.11 and 216?\nAnswer: -10607.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**4 + 25975*v**3 - 17821209*v**2 + 3008539529*v + 3026386712 = 0.\nAnswer: -26648, -1, 337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13\/14 + 61\/126. What is the second biggest value in 1, 14, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dupcuacaaaau. Give prob of sequence pca.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 72377502?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8423353447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-58)\/(-8) + 3\/(-12). Let v(r) = -r**2 - r + 1. Let c(a) = -5*a**2 + 5*a - 11. Let f(n) = -c(n) + 4*v(n). Let u be f(b). Is -2\/53 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1559*q**5 - 857*q?\nAnswer: 31180*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 11 + 0*z - 10 + 2 + 4*z. Let h be v(-2). Let g(l) = l**3 + 8*l**2 + 8*l + 9. Does 11 divide g(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1760131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*u**3 + 3*u**2 + 4*u**2 - 12*u**2 + 21*u**2 - 2*u + 7*u**3 as k*u**2 + q*u**3 + a*u + y and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 + (-25 - -83) - (14 - 36).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1770 is divided by (-12)\/(((-2250)\/(-370) - 6)*-1)?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 923 is divided by 94?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (35\/21)\/(1\/(-3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12921 + -64562\/5. What is the second smallest value in 0.1, 5, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1676*w**2 - 995*w**2 - 177*w**2.\nAnswer: -2848*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 125061*l + 4723. Is c(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a minute in seconds?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 m when two letters picked without replacement from {e: 1, u: 2, m: 1, w: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 247849 or 247841?\nAnswer: 247841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7 + 2.3. Put -3, -2\/17, b in ascending order.\nAnswer: -3, -2\/17, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 2*r + 6, u + 3 - 2 = -2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6*i - 41. Let d be o(-6). Let j(u) = -268*u + 44. Let w(b) = 179*b - 29. Let k(q) = d*j(q) - 7*w(q). What is the first derivative of k(r) wrt r?\nAnswer: 87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -10. Solve -2*w - j = w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11 - (-3 + (-4)\/(-2)). Let x be 2\/(-4) + (-2)\/l. Which is the nearest to -1\/4? (a) x (b) 0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 - 2)*2\/(-2). Let w = d + 1. What is the units digit of (6\/(-9))\/2*w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -568 + 567.97. What is the nearest to a in 3\/5, 0.06, -1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 5*c - 1095, 4*c - 3*c - 273 = -f. Let k = 348 - f. Calculate the highest common divisor of k and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1425 * 0.3.\nAnswer: 0.04275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q**2. Let c(t) be the first derivative of 4 + 3*t**2 - 4*t**2 - 2. Calculate c(r(f)).\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184 + 239 = -79*d + 924 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 200201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccrr when four letters picked without replacement from {c: 10, r: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-275)\/(-308))\/5 + (-6)\/14. Let x = -0.9993 + -0.0007. Which is the nearest to d? (a) -4 (b) x (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2333 is divided by 329.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 793180489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*8\/(-6))\/((8000\/(-14550))\/(-40))?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -609416*t**3 - 3*t**2 - 48532 wrt t?\nAnswer: -3656496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 5*m**3 - 5*m - 22*m**3 - 35*m**3 - 5*m**2. Let i be s(-5). What is i rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2563*48829\nAnswer: -125148727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21965784 and 15936.\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 2*n + 5, 3*y + 7 + 8 = -n. Let i(b) = 3*b**2 + 2*b**2 - 5 + 3*b**3 - 2*b**3. Let p(j) = 2*j**2 - 2. Calculate y*p(w) + 2*i(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5292 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 643700 and 114767?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 649*z + 4548. Let v be s(-7). Let q(k) = 21*k - 24. Calculate q(v).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 9*l - 1950 = 0. Suppose 13*n - l = -2*n. Calculate the remainder when n is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*f - 192*f = -141. Calculate the highest common factor of f and 423.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 95.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 695 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 925\/(-111)*(-3)\/5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.765 - -0.235. Let u = 44.972 - 45. Let p = 0.088 + u. Sort -2, i, -0.2, p in ascending order.\nAnswer: -2, -0.2, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (3 + 1 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-43 + -1) - -1) + (2641 - 2649).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31669.\nAnswer: 11, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 557 and 0.3.\nAnswer: 167.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 9296 - 9420 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.04 and 431841489.\nAnswer: 431841489.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 26 = 198. Is a\/(-2) + (-5)\/10 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14873150269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 845633800 rounded to the nearest one million?\nAnswer: 846000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 1781*h**2 - 2*h - 171. Is a(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 40096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 7*v. Let g(f) = -14*f + 11. Let t(k) = -5*k + 4. Let x(h) = -4*g(h) + 11*t(h). What is x(c(s))?\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 79*m**5\/80 - m**4\/96 - 2*m**2 + 6*m + 11. Solve q(u) = 0 for u.\nAnswer: 0, 1\/237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 24 = t. Suppose 3*j = -t*d + 2 + 2, -4*d - 2*j + 8 = 0. Let k be (-200)\/48 + 2\/d. Is -5 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156802 + 156566 + 21*d**2 - 313368.\nAnswer: 21*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**4 - 4*k**4 + 3*k**4 + k - k + k**4 + (-3*k + 3*k - k**3)*(-2*k + 0*k + 0*k))*(-41*k + 59*k + 268*k).\nAnswer: 286*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q*q**(2\/5))\/q)**31)**(21\/5) assuming q is positive.\nAnswer: q**(4557\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*y - 48*y = 28. What is the common denominator of (-37)\/y*77\/66 and -143\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 2\/287, 1\/2 in increasing order.\nAnswer: -31, 2\/287, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/((-150)\/(-4))*5\/(-4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 12*m + 29 = 73, 33*m + 19 = -2*d + 75 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19668, -19660, -19640, -19602, -19540, -19448, -19320, -19150?\n\"Answer: h**3 + h - 19670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 13) to base 12\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**3 - b**2 - 2*b + 1. Let t be q(-2). Let n = t + -13. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(325) - (sqrt(325) - -3*(sqrt(325) + 3))) + -4)*6 + -2)**2.\nAnswer: 14400*sqrt(13) + 111700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l**2 + 5*l**2 + l**2)*(-2*l + 4*l - 4*l).\nAnswer: -26*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37375 and 432055.\nAnswer: 1495","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 5*t - 4*t)*(1 - 4 + 1) + 531*t - 296*t - 327*t - 3*t + t + 3*t.\nAnswer: -87*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459837723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7350 and 13475?\nAnswer: 80850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**0)\/c*(c*c**(-7))\/c*c*c)\/((c*c*c\/c**(8\/3)*c)\/c**(-3\/5)))**(12\/19) assuming c is positive.\nAnswer: c**(-416\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 at least 9\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 3*y - 372867, -13*r + 8*r - 3*y + 466050 = 0. Suppose r = 9*f + 31302. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22977?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -68, f - 6*f + 30 + 256 = -9*h for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1536 + 57*g**3 + 3040 + 2*g - 1505 + 9*g**2 to the form m*g**2 + r + h*g**3 + n*g and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (62 + -1)\/1*1. Suppose 0 = -2*c - h + 39, h + a = c + 2*c. Calculate the remainder when 198 is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*q = -29*q + 3. Calculate the remainder when 42 is divided by -3*(q - (-80)\/(-12)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30\/11 in -2\/7, 0.5, -0.2, 4, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 806637656?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 135399554 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*n + 6\/11*n**3 + 2\/11*n**5 + 2\/11*n**2 + 0 + 6\/11*n**4.\nAnswer: 2*n**2*(n + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222122200200 + 10?\nAnswer: -222122200120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 1 - (10 - (-37 + 18 + 31)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 18206, 0, -20 in decreasing order.\nAnswer: 18206, 0, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -806095 divided by 5.\nAnswer: -161219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 38 = 5*b - 2, -4*b - 28 = 2*y. What is the common denominator of -15\/4 and (-124)\/b + 5 + 3 + -9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7812, -15575, -23310, -31029, -38744?\nAnswer: -46467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13107\/(-30069))\/((-6)\/234)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -1748?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50 (base 8) to base 2.\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -1.213.\nAnswer: -3.213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4462963?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + (-3 - -2)\/(-1). Which is the nearest to 0? (a) 2\/5 (b) k (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*c = -132. Let j = -7 - c. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 8:48 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from umummu. What is prob of sequence ummu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 585\/90)\/((-2)\/(-1) - 95)?\nAnswer: -3\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**2 - 4*b**4 - 5*b**5 + 4*b**4 + (b**4 + 1 - 1)*(59*b - 182*b + 97*b).\nAnswer: -31*b**5 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 3. Let t(n) = n**3 - 7*n**2 - 6*n - 8. Calculate the least common multiple of 6 and t(d).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -1.95. Let b = 15.15 - h. Let t = -28.5 + b. What is t rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221021221222 (base 3) in base 9?\nAnswer: 837858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 417387 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1772 equal to -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**3 - 2*h**3 - h**3 + (h - 1 + 1 + (2 + 0 + 1)*(-6*h + 9 - 9))*(-4*h**2 + 0*h**2 + 2*h**2).\nAnswer: 28*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 2088 - 2060 = 0 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82334 is divided by 95.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122656\/176 - 4\/(-44)?\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00793685139 rounded to 7 dps?\nAnswer: 0.0079369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-9)\/(-2)*6\/9. Let f(a) = -5*a**2 + 13*a**3 + 17*a**d - 4*a - 2 - 31*a**3. What are the prime factors of f(-6)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37250, -74595, -111934, -149267?\nAnswer: -186594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32.7820026746 - 32.782. What is q rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/3 + 11\/(-3). Let b be (-15)\/(0 + r) - -2. Let g = b - -5. Calculate the highest common divisor of 48 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3211, 3133, 2981, 2713, 2287, 1661, 793?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 2:50 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, -576, -1785, -3592, -5997, -9000, -12601?\nAnswer: -16800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/1 + (-1 - -4). Let w(x) = 27*x**2 + 2*x + 1. Let d be w(-1). Let r = 26 - d. Put r, -2, f in decreasing order.\nAnswer: f, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2188 = -5*u + 117. Calculate the remainder when u is divided by 35.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 0.1 (b) 0.4 (c) -19310\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 16*p + 1. Let w be g(7). Find the common denominator of (-3)\/w*22*-5 and 12089\/1428 + (-1 - 38\/(-34)).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -150 + 109 + (4 - (-114 - 17)).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -2 (c) -95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + 1 - (-2475)\/(-145)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - (0 - (-3 + 5)) - 4. Let q be ((-24)\/(-63))\/8*(-18)\/j. Suppose 3*x - 4 = -1. Which is greater: x or q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - 5 - (3 + -1 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 5\/2, 3\/7, 0 in descending order.\nAnswer: 5\/2, 1\/2, 3\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 118140631 or 118140638?\nAnswer: 118140631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000100000011011 (base 2) in base 14?\nAnswer: -44671","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -11*y + 7. Let h(x) = -5*x + 4. Give 4*a(d) - 7*h(d).\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*f = 104. Sort 0, f, 1.\nAnswer: 0, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -z**5\/20 + z**4\/3 - 4*z**3\/3 + 7*z**2\/2 - 5*z + 309. Calculate l(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (102\/(-9))\/((-2)\/(-3)). Let m = f - -22. Suppose -2*b - 3 = 4*j - 45, -m*b = 2*j - 65. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/5 + 14*a + 392\/5.\nAnswer: 2*(a + 7)*(a + 28)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1030339 to the nearest integer?\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 0) + 4 + (7 - 4) + -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21.9635 - 0.0365. Let h = 36.3 + g. What is h rounded to 1 dp?\nAnswer: 14.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l**2 - l - 1. Let j be s(2). Suppose 2*w + j = 7*w + 3*r, -2*w - 3*r = -7. Let z = 23 - 14. What is the smallest common multiple of z and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + -24. Let j(x) be the first derivative of 0*x + 2\/3*x**k + 1 + 0*x**2. Let o(q) = -2*q**2. Give j(o(b)).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*y + 2531 = -2513 + 52 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -20.96 times -0.05\nAnswer: 1.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 34907, 278704, 940433, 2229056, 4353535?\n\"Answer: 34827*g**3 + 4*g**2 - 4*g + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fp when two letters picked without replacement from {f: 2, a: 2, x: 6, v: 4, p: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 257671260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2147 - -2411. Calculate the remainder when 278 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 m when two letters picked without replacement from {c: 5, m: 2, j: 2, h: 10, r: 1}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 117 - 20. Calculate the remainder when k is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 8*q + 18. Give a(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 684432. Let k be d(0). Let c be (k - 36\/6) + (-1 - -1). Suppose -7*q - c = 1065574. Round q to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30315 divided by 645.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 >= -206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -72*u**2 - 9*u - 24. Let b(s) = 36*s**2 + 5*s + 13. What is -9*b(o) - 5*t(o)?\nAnswer: 36*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 13 + g - 3*g + 9. Let k be i(-2). List the prime factors of 2 + 200 - (40\/k - 6).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.85 times 0.3?\nAnswer: -0.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*j + j - j**2 - 3*j - 3 to the form x*j**2 + a*j + f and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 175694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11639 and 3277.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 6*l - 6. Let a be l + 4 - 1\/(2\/(-4)). Let t(y) = -y**2 + y + 6. Determine t(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24202555 is divided by 61.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290248 is divided by 9361?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 2*n**2 - n + 2. Let p be h(0). Let m(g) = 4*g**2 + 1 - 1 - 13*g**p. Let k(f) = 2*f**2. Give k(m(a)).\nAnswer: 162*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3188, -3250, -3310, -3368, -3424?\n\"Answer: u**2 - 65*u - 3124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7699 + -2954. Let j(s) = -2*s - m*s**2 + 1 + 3*s + 4742*s**2. Give j(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 k when four letters picked without replacement from {d: 7, k: 6}?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*g + 1. Suppose -98*r - 510 = -96*r. Let p = r + 256. Calculate the highest common factor of p and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 35634 = -29307. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12a21 (base 11) to base 14.\nAnswer: 6a80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2554 - -6362. Suppose 0 = 16*o - 13936 + m. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6135777647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 223341 and 199436?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21 or 0?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = z + 6. Let h be 5\/(15\/6) - z. Let l = h + -6. Calculate the smallest common multiple of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245475287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + (4*4*sqrt(475)*-2 - ((sqrt(475) + 1)*-2 + 5)) + -1)**2.\nAnswer: 1200*sqrt(19) + 427516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*t + 211*t - 3462 = -808*t - 88437 for t.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 2*i**7\/147 - 2*i**6\/105 - i**5\/5 + 13*i**4\/21 - 4*i**3\/7 - 60*i. What is s in z(s) = 0?\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/186 and 89\/2102652.\nAnswer: 65182212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 5*g + 69, 91 = 4*x - 3*g - 40. Solve 4*z - 3*c + x = 4, 0 = 4*z - 4*c + 32 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**2 + 33*x + 8 - 8.\nAnswer: 3*x**2 + 33*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 411 - -130. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.193 or -26?\nAnswer: -2.193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101100010001 (base 2) to base 8.\nAnswer: -15421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 86 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.008 and 1812.\nAnswer: -14.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.35103 + 2.35. Round v to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/5))**(-5\/6)*(o**0)**6)\/((o**(1\/4)*o)**(1\/19)*(o*o**(1\/3)\/o*o)\/(o*o\/o**(-5)*o)) assuming o is positive.\nAnswer: o**(1429\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 2:18 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -264 (base 8) in base 6?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -95 + -41. Let d = c + 317. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 40*s**3 + s**2. Suppose -200 + 208 = -8*x. Determine w(x).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + -1 + -4 + 4. Suppose -g*b + 2*a = 6, -4*b + 4*a = -a + 17. Find the second derivative of -3*q**5 - 3*q + 2*q - b*q wrt q.\nAnswer: -60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 28*t - 4. Let d be k(2). Suppose -4*w = 20 + d. Find the common denominator of (w\/112)\/((-3)\/4) and 83\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-22) + (-2793)\/627. Let b(v) = 15*v**3 - 2*v + 4. Let l(j) = -15*j**3 + 2*j - 5. What is w*b(q) - 4*l(q)?\nAnswer: -15*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 126.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w\/w**(1\/2))\/w*w*w**3)**(-37)\/((w*(w\/w**(-2\/5))\/w*w*(w**(-2\/13)*w)\/w)\/(w\/(w\/(w**(2\/3)\/w)*w))**(-5)) assuming w is positive.\nAnswer: w**(-63211\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*x + 104*x = 145*x + 504 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 12*u + 12*u. Let g(q) be the third derivative of 1\/4*q**4 - 3*q**2 + 0 + 0*q**3 + 0*q. What is g(w(i))?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -240 - -243. Solve 0 = 2*q - 4, 8*d = r*d + 3*q + 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 938 and 192?\nAnswer: 90048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 566.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 1\/2*k**4 + 2\/5*k**5 - 4*k - 5*k**2 - 2*k**3 + 2. Factor l(v).\nAnswer: 2*(v - 2)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7983037597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f**2 - f**4 - 3*f - 3*f**4 + 7*f**4 wrt f.\nAnswer: 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46588 is divided by 218.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -6.18 equal to -0.0501?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*n + 5 - 5 - 251*n**2 - 108*n**2 - 34*n wrt n?\nAnswer: -718","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 1\/3*g**3 + g**2 - 2*g + 0 + 1\/24*g**4. Let v(k) be the first derivative of a(k). Calculate v(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**3\/3 + 7*o**2 + o - 4311. Determine t(15).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 135 - 137. Let w(v) = 95*v**3 - 46*v + 10. Let h(m) = 48*m**3 - 23*m + 4. Let q(k) = g*w(k) + 5*h(k). What is the second derivative of q(p) wrt p?\nAnswer: 300*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 107445, 214886, 322335, 429798, 537281, 644790, 752331?\n\"Answer: d**3 - 2*d**2 + 107440*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4 + 5*q**3 + 73*q**2 + 127*q + 60.\nAnswer: -(q - 12)*(q + 1)**2*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 5*q**2 - 3*q + 2. Let t be i(-4). Suppose -5*h + 51 = 3*o, 0 = 5*h - 0*h + 5*o - 45. Suppose -3*d - d = -h. Put t, d, -3 in ascending order.\nAnswer: -3, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 330*v**2. Let r(p) = p**2. Calculate q(r(a)).\nAnswer: 330*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4872.4*2\nAnswer: -9744.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -8*q - 2. Let p = 26 - 16. Suppose 21*h - p*h = -22. Calculate r(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2021556863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2304259098.\nAnswer: 2, 3, 384043183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2212366 (base 7) to base 14.\nAnswer: -712a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, j: 5, p: 1, z: 1}. What is prob of picking 1 j and 1 u?\nAnswer: 25\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2945 - -2964. Suppose -13 - 25 = -v. Calculate the greatest common factor of i and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 8:50 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4)*n**(2\/5)*(n*n*n**(1\/3)*n)**15)\/((n**(-2)\/n*n*n)**(2\/19)\/(n*n**1*n\/(n\/n**2*n))) assuming n is positive.\nAnswer: n**(4703\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/12*-63*11\/((-231)\/98)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -8824853699226\nAnswer: -8824853699222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -954092.47051 less than -31?\nAnswer: 954061.47051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -2\/85, -5, 238, -1\/4, -0.4, -1, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 + -75. Let r = d - -18. Let k = 21 - r. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + -2 - 2) + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s - 7. Let r be x(3). Sort r, 108, -5.\nAnswer: -5, r, 108","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3764872.\nAnswer: 2, 470609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -324 + 319. Put 3, b, -19 in increasing order.\nAnswer: -19, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, 0.2, -11006\/221?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-52 - -11)*(-1)\/((-2)\/(-2)) is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 212288, 212376, 212464, 212552, 212640, 212728?\nAnswer: 212816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2891839 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -926, -79, -2, 5, -1, -4 in descending order.\nAnswer: 5, -1, -2, -4, -79, -926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-1))\/w*(w*w**(3\/5))\/w*(w**3*w)\/w**(-1\/7))\/(w**(3\/5)*w**(-2\/3)\/w)**(1\/20) assuming w is positive.\nAnswer: w**(3043\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 3*i + 60. What is the greatest common factor of 4 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211913853.\nAnswer: 3, 131, 151, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5781 - -6098. What is the remainder when q is divided by 51?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117.7 times -0.201?\nAnswer: -23.6577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**2 + 87*v - 298. Calculate s(-32).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 f, and 1 v when three letters picked without replacement from {v: 1, f: 3, b: 6, i: 5}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -190c214 (base 13) in base 14?\nAnswer: -113480d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59 + 156. Suppose j + 0*j = h. Calculate the remainder when j is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11214, 22426, 33638, 44850?\n\"Answer: 11212*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 53*o + 28. Let i be y(1). Suppose 0 = 88*f - i*f - 112. Is f >= 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1452764 + -1.12?\nAnswer: -0.9747236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - x + 422 + 1648 = 0, 3*y = 4*x + 1543. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375*f - 12638443 + 2075068 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 6*i**2 + 3*i - 4. Let k be m(-4). Suppose 0 = 4*g + k, 4*v - 3*g - 20 = 2*g. Solve v*a + a = -1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67595, 270347, 608273, 1081379, 1689671, 2433155?\nAnswer: 3311837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vef when three letters picked without replacement from {e: 2, z: 3, m: 1, f: 6, v: 6, b: 2}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-539)\/(-154)*8\/(-8))\/((-2)\/20).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + g + 25. Let p(r) = -g*r + 4*r - 2*r**2 + r**2. Let i(d) = d**2 - d - 1. Let k be i(0). Give p(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzzzzzzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9 - 13) + (6 - 1)*1. Let c(q) be the first derivative of -9\/2*q + 3\/2*q**2 - 1\/6*q**3 + k. Suppose c(w) = 0. Calculate w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**2 + t. Let x be r(-1). Suppose 0 = -4*y + 4*z - 4, 0*y + z + 3 = 3*y. Suppose -x*n = -2*n + y*n. What is the nearest to 3 in n, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-232)\/(-120) + -2)\/((-4)\/12)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -6*l**2 + 3*l + 38. Determine h(-5).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 + 89 = 4*y. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 78753b5 - -a?\nAnswer: 7875403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 274*s**2 + 11548*s - 140400.\nAnswer: 2*(s + 52)*(137*s - 1350)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*m - 6*x + 9*x, 0 = -m - 3*x + 21. Solve -m = 29*i - 26*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50*r**2 + 218*r wrt r?\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 6*o**4 + 14 + 4*o**4 + (6 - 1 - 3)*(o**4 + 5*o**4 - 4*o**4).\nAnswer: 2*o**4 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*j + 807 = -3*y - 11*j - 15*j, 4*y - 60 = 3*j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*(2*sqrt(121) + sqrt(121)))\/(sqrt(88)\/(sqrt(48)\/sqrt(6))).\nAnswer: -3*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 18*l**2 - 8*l**2 - 12*l**2. Let h(i) = i**2 + 6*i - 9. Let s be h(-8). Let v(k) = -7 + s + 13*k. Determine v(p(n)).\nAnswer: -26*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 11, 1.8, 1\/5, 1\/4, -2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + z = 2*z - 12, z = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 35 = 4*b, a = -4*a + 5*b + 50. Suppose p + 3 = a. Let n(l) = -4 - p*l + 4. Let k(g) = -g. Calculate k(n(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*p + 9 = 0. Let h = 5 + p. Which is greater: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 236122 - 3?\nAnswer: 236118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -12 - -25 - (-11 - -8)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilogram in milligrams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**2 - 5*g + 1. Let o be b(-2). Let x(z) = 8*z + 4. Determine x(o).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/4*(2 + 2). Suppose j*u = k - 2, 9*k - 14 = 10*k + u. Let f(t) = t + 1. Calculate f(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*y - 77 = -3*b, -4*b + 3*b - 4*y + 45 = 0 for b.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122, -317, -644, -1103, -1694, -2417?\nAnswer: -3272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 272207 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -2586?\nAnswer: -2586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - a**2 - a**2)*(-1026 - 75*a + 1026)*(0*a**2 + 2*a**2 + 0*a**2).\nAnswer: -150*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**3 + 98*p**2 + 61*p - 1690. Calculate y(-48).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 13 - 5. Suppose -p*v = -70 - 50. Suppose -5*x - n + v = -2*x, -20 = -4*n. Solve 3*c + 0 = -3*t - 3, 15 = x*c + t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*1 + (3 - -7). Let j(w) = w**2 + 4*w + 4. Let n be j(-4). Solve i = -n*p - 12 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-two fifths of a millennium?\nAnswer: 76800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22\/9*x**3 - 4\/9 - 10\/3*x**2 - 2\/3*x**4 + 2*x.\nAnswer: -2*(x - 1)**3*(3*x - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3 - (-3)\/(-6))\/(14\/252).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28.9 + -29. What is the closest to f in 5\/4, -5, 8?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**3 - 9*b**2 + 9*b - 8. Let z be s(6). Let a = z + -1384\/9. What is the common denominator of a and 139\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353*k + 10 = -355*k, -4*j + 31 = -3*k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001580609108 rounded to 6 dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -7. Let x = -8 + 8. Suppose x = -n*w + 30 - 10. Put -4, w, -5 in decreasing order.\nAnswer: w, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -124*g**3 + 1024*g.\nAnswer: -744*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/780 and (-1570)\/900 + (-5 - -7) + -1?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b - 283?\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3 (b) -2 (c) 2\/29 (d) -4 (e) 135\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqssvddss. Give prob of picking 1 q and 1 s.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-28)*(-24)\/4. Let u = -236.7 + 237. Sort u, -19, m.\nAnswer: -19, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3840 divided by 384?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -u**4\/2 - 2*u**3\/3 + u - 2. Let l(n) = -n**2. Let m(g) = 2*l(g) - q(g). What is the derivative of m(t) wrt t?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -38, 0, -2, -545, 4 in decreasing order.\nAnswer: 4, 0, -2, -4, -38, -545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15483*f + 47*f**2 - 15483*f.\nAnswer: 47*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -6.418?\nAnswer: 12.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277*y**2 + 27*y**2 - 322*y**2.\nAnswer: -572*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -110273, -441098, -992479, -1764422, -2756933?\n\"Answer: -j**3 - 110272*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(63)\/(-1*sqrt(7))).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 1, 8 in descending order.\nAnswer: 8, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 518, -10291, -39630, -96763, -190954?\n\"Answer: -1544*m**3 - m**2 + 2*m + 2061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/9*3\/5)\/(((-560)\/(-2340))\/14).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*d = -2150, 0*p - 5*d + 10730 = 5*p. Suppose 6*t - p = 246. What are the prime factors of t?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/3)\/((-8)\/(-168)*-9)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2436*r**2 + 31 - 31.\nAnswer: 2436*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -112*o + 102*o + 2760. Calculate the remainder when 282 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5*12\/70)\/(((-5)\/7)\/(-5))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/212, 2\/7, 7, -1\/2, 4, -5, 1\/200?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/115 in 1, 5, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n. Let x = -2 - -3. Let b(j) = 25*j + 680. Let o be b(-27). Let g(p) = -1 - 2*p + 2*p - 4*p. What is o*z(u) + x*g(u)?\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4434*x + 4467*x - 198. Solve -18*n - 84 - x = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -179*j**4 + 2*j**3 - 3*j**2 - 1218. Let l(n) = -n**4 - 2*n**3 + n**2 - 2. Let z(a) = b(a) + l(a). Differentiate z(s) with respect to s.\nAnswer: -720*s**3 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/18 and 97\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 97*r**2 - 189*r - 911. Determine l(99).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -23?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13127 rounded to two dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0, -118, 46 in descending order.\nAnswer: 46, 0, -7, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, -13, -4, 5 in decreasing order.\nAnswer: 5, -2, -4, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 5*h**2 - 7. Let t(m) = 7*m + 17. Let i be t(-5). Let w = -23 - i. What is b(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3310.\nAnswer: 2, 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6497 or 6500?\nAnswer: 6500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -148*x + 1729829 - 515933. List the prime factors of x.\nAnswer: 2, 3, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -31, -11, 53, 155, 289?\n\"Answer: -r**3 + 28*r**2 - 57*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 u when two letters picked without replacement from qzuii.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*r**3 - 6 + 8 + 4*r**2 - 2.\nAnswer: -36*r**3 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1043*h - 1273*h - 2180 = 1270 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2401 + 2401.1. Put -1\/9, -5, 143, r, -6 in decreasing order.\nAnswer: 143, r, -1\/9, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -121 + 487\/4. Let q = 0.2 + -0.2. Let a = 0.1 + q. Put a, i, -4 in ascending order.\nAnswer: -4, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2047 + -2047. Let u(n) = 3*n**2 - 5*n + 1. Give u(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 4. Solve y + 4*o = -w, -4*o = -2*y - 0*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5 + 284702046.7491.\nAnswer: 284702048.2491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 b when three letters picked without replacement from babdabaad.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8, 5, 4, 5, 8, 13?\n\"Answer: n**2 - 6*n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9296 - 130071\/14. Find the common denominator of 33\/28 and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/6 + 9\/2. Suppose m*s + 36 = 2*s. Let w(p) = -p + 14. Let l be w(s). Calculate the greatest common divisor of 39 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152522231 to the power of 1\/2, to the nearest integer?\nAnswer: 12350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 191022 and 427232?\nAnswer: 2054","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*j - 5*o, 0 = 5*j - o - 0*o - 13. Let z be j*-10 + -2 + 2. Let i be 2\/(-3)*z\/4. Solve -4*g = -3*g - i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1072302?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -111440 divided by 796\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -76?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -118960 + 4?\nAnswer: -118957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**3\/3 + 3*r**2\/2 + 4*r. Suppose 0*s - 4*s - 16 = 0. List the prime factors of d(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9759000 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -142 - -136. What is the smallest value in -0.5, k, 16?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 135 + -134.941. Let r = -608.036 + 607.736. Sort l, 0.1, r.\nAnswer: r, l, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*-7*2*5. Suppose -6*o + s = -o. What is the greatest common divisor of o and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3\/7)*(((q\/(q*q**(-1\/2)))\/q*q)\/q)\/q*(q\/(q*q*q*q**2*q*q))**(-5) assuming q is positive.\nAnswer: q**(393\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 2*t - 356, 6*m - 2*t - 446 = m. Suppose -6*y + y + m = 0. Suppose -2*l = 6*l - 64. What is the lowest common multiple of y and l?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44719973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -6 (b) -45 (c) 2\/19 (d) -0.02 (e) 4\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence at when two letters picked without replacement from aattaa.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 10*v**2 + 29*v - 57. Let k be o(12). Solve k = 8*z + 35 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 827 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 831039881, 831039880, 831039879, 831039878?\nAnswer: 831039877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28004*t - 33 = -28015*t. Solve -54*l = -t*z - 55*l + 14, 5*z - 40 = -5*l for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6919 - 6915. Which is the smallest value? (a) x (b) -11 (c) -0.48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (1 - 9) + 8\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-260)\/30)\/(-13) - 62\/(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-1 + -5 - (-16 - -17)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35338 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*f - 5110522 + 1735484 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3601, 2182, -1551, -8756, -20591?\n\"Answer: -193*d**3 + d**2 - 71*d + 3864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/25 of a micrometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -3959?\nAnswer: 3961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000035156 to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -460*z - 1369. Give j(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249890 a multiple of 610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8792791, 8792793, 8792795?\n\"Answer: 2*o + 8792789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -1) + (-4 - -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2529, -4, -3?\nAnswer: -2529","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -445, 6, 1\/5 in decreasing order.\nAnswer: 6, 1\/5, -445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4*k - 5*k, -k - 4*r - 2 = 0. Determine x so that -19*x**3 + 4*x**3 - 4*x**4 - x**4 - 6*x**k - 4*x**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 803\/117 - 59\/9. Which is the fourth biggest value? (a) 0.5 (b) -3 (c) -1\/3 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7946?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*z**2 - 10*z**2 - z**2 + 10*z**2 + 14*z**2 + 24*z**2.\nAnswer: 65*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7101, -4, 5, -1 in ascending order.\nAnswer: -7101, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - -4. Calculate the remainder when x is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4417397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 3:42 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 241510162 to the power of 1\/4, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 0 - 4 + 3*f + 2. Let y(h) = 4*h - 3. Let c(r) = -3*b(r) + 2*y(r). Give c(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2264142 bigger than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*k**3 + 79*k**2 - 7391 with respect to k.\nAnswer: 48*k**2 + 158*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 179 - 96. What is the remainder when z is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 8 - (10445\/855 + 6\/(-57)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*o - 8, 16 = 5*z - 2*o - o. Suppose n - 2 = -0. Suppose 0*v = -n*v. Solve v = z*a - a - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2403 (base 6) to base 14\nAnswer: 2d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3818853421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 c when three letters picked without replacement from {k: 2, y: 7, c: 3, g: 2, l: 1, h: 3}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -582*m**4 + m + 1 + 581*m**4 - 5*m**2 - 4*m**2 as s*m**2 + h*m + a + i*m**4 + t*m**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m + 6. Let d(b) = b. Let y(c) = -a(c) - 2*d(c). Let f be y(-4). Let x = f - -31. Is 16 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 997\/25 + -35413\/100. Let z = m - -309. Find the common denominator of z and 83\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2112)*-1 + sqrt(33))\/sqrt(3) - (sqrt(11) + (-1*sqrt(99))**2 - (-1*sqrt(132))\/sqrt(12)).\nAnswer: -99 - 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, s: 1, r: 1, n: 1, z: 1}. Give prob of picking 1 u and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 958700 = 23*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183139199?\nAnswer: 183139199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 8:01 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 8*z - 3*t - 10 = 0, 2*t - 2 = 4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -1c9555b?\nAnswer: -1c9555e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -465, -916, -1387, -1884, -2413, -2980, -3591?\n\"Answer: -y**3 - 4*y**2 - 432*y - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 323*f - 32. Let b(w) = -162*w + 19. Let z(p) = 6*a(p) + 10*b(p). What is the hundreds digit of z(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.001 - 16231763841\nAnswer: -16231763840.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 + 9*s**3 - 1187*s - 33 - 1188*s + 2421*s in the form b + a*s + r*s**3 + t*s**2 and give a.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 9. Do -6 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 18. Let f be j*((-27)\/6)\/3. Solve -4*q - f*i + 10 = 0, 3*q - 3 - 19 = 5*i for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*z = 5*q + 80, -1750*z = 3*q - 1754*z - 40 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -554 (b) 2 (c) 0.11 (d) 1 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 <= -36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6 - ((-128)\/(-256))\/((4\/4)\/31)\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*x + 30. Let r(o) = 22*o**2 - 3*o + 34. What is the tens digit of r(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55962, -10, 12, 1 in increasing order.\nAnswer: -55962, -10, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 0 - (4 + 31 + -37)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/17 (b) -5 (c) -0.01 (d) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -7.1, -37, -22, 0, 1\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 234*t**5\/5 - 405*t**2\/2 + t + 277. What is the second derivative of c(v) wrt v?\nAnswer: 2808*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45983909?\nAnswer: 67, 83, 8269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 65 in 14\/9, -0.03, -1\/3, -2\/19?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 1 - -5) + -8 + 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)\/(sqrt(8) - sqrt(128)))\/(6*sqrt(4)*1).\nAnswer: -sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/8 + 405\/504. Let w = 3.1 - 0.1. Let x = -278\/5 - -56. Which is the closest to x? (a) w (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1726 is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*y - 87 - 12 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3973 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 763 = -186*p - 539 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2 - 2*q - 3. Suppose -3 = -4*r + 1. Let h be (-13)\/((0 - r - -2)*-1). Suppose 2*l + 3*l + 5*y = -25, 5*l + y = -h. Calculate u(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of 5*g**4\/8 + g**2. Let f(d) = d**2 + 1413 - 1413. Determine f(c(q)).\nAnswer: 225*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m**1)\/m)**(-24)*(m\/(m**(-1\/4)*m*m))**(-3\/4))**(-38))**24 assuming m is positive.\nAnswer: m**21375","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/32)\/1*18\/(-135)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18e2 (base 15) in base 10?\nAnswer: -5387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -284237 or -284410?\nAnswer: -284410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r - 8 = -19*r. Solve 1\/2*a - 1\/2*a**r - 1\/2*a**3 + 0 + 1\/2*a**4 = 0 for a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-620)\/(-20))\/((-4)\/(52\/39))?\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16\/3 + 23\/6. Is 5\/7 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 807.1 less than -0.1850632?\nAnswer: -807.2850632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -735 (c) 4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, c: 2, p: 1, g: 3}. Give prob of sequence ep.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 396\/36 + -28 + -17 + 18?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (4 - (2 - 6) - 13)) + -10 - 80?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6224865 = 6224781?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 0 = 19968*f - 19963*f + 2*b, 5*f + 4*b - 3 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8 - 12.8. Let h = i + 7. Let t = -0.059 + 0.459. Sort t, h, 2\/9 in decreasing order.\nAnswer: t, 2\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**3\/p)\/p*p)\/(p**(-3)\/p)*(p\/(p\/(p\/((p\/(p*(p**0\/p)\/p))\/p))*p))\/(p*p*p\/p**(-3)))**(10\/9))**(2\/15) assuming p is positive.\nAnswer: p**(-4\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 5896*l + 47010. Give f(-8).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - -39 - 65) + -43 + 0 - 7?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 2\/5 (c) 6 (d) 5 (e) -0.064\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 12:11 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/88330 and 1\/1739298.\nAnswer: 95661390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n - 3*n - 2*n**5 + 9*n**5 + 15*n**5 - 41*n**5 + (-n + 3 - 3)*(10*n**4 + 0*n**4 - 9*n**4).\nAnswer: -20*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -h - 4*t - 77, 0 = -h - 5*t + 95. What is the highest common divisor of h and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.5 + 15.04. Let u = k - 6.53852. What is u rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004508144219 rounded to 6 dps?\nAnswer: 0.004508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 561?\nAnswer: -55b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**5 - s**3 + s**3 + (-2*s**3 - 23*s**3 + 4*s**3)*(7*s**2 - 11*s**2 - 10*s**2) + (3*s**4 + 0*s**4 - s**4)*(-2*s + s - 2*s).\nAnswer: 289*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 74827723 less than 2?\nAnswer: -74827721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1942 + -911. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2752, -2754, -2756, -2758, -2760, -2762?\n\"Answer: -2*t - 2750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11)\/((-33)\/(-2)) + (-136)\/(-15). Is 7 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 9:18 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.14 + -14.14. Let z = q + 16. What is the biggest value in 4\/7, z, -2\/11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 616?\nAnswer: 1\/308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j**3 + 399*j**2 + 180*j - 144. What is the units digit of n(-98)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8669 or 701?\nAnswer: -8669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {o: 2, s: 3, z: 6, n: 5, g: 2}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 856 - -1963. Let t = g - 1162. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p**5*p)\/p)**(-43)*(p*p\/p**0*p*p)**37 assuming p is positive.\nAnswer: p**(-110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lnl when three letters picked without replacement from {d: 3, n: 7, l: 2, c: 7}.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -145*x - 9789. Give c(-61).\nAnswer: -944","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 482718.3 years?\nAnswer: 5792619.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-10)*(8\/(-21))\/(312\/(-728)).\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of a**4\/6 - a**3\/6 + a**2\/2 + a - 1. Let o(l) be the first derivative of t(l). Determine o(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -o**2\/2 + 2*o + 4. Suppose 5*c - 9*c = -40. Suppose -5 = -d + 3*p, 2*p + 2 = -5*d + c. Calculate r(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 939792 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -277427 - -8.4\nAnswer: -277418.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1429 and 19.\nAnswer: 27151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 - 6*x - 6. Let n(o) = -o - 1. Let w(p) = l(p) - 6*n(p). Let r(c) = 21*c. Determine r(w(a)).\nAnswer: 42*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -24*a - 145 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**4\/4 + 507*q**3\/2 + 11658*q**2 + 188253*q\/2 + 330885\/4 = 0. Calculate q.\nAnswer: -285, -43, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 4. Let l be (-1 - -4)\/(b\/42). Suppose 6 = -3*q + l. What is the highest common divisor of q and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-2 - (-40)\/18). Suppose 48 = n + 2*s - b, 4*n + 5*s - 216 = 0. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - k = -1, 0 = -9*z + 12*z - 4*k - 6. Let t be (-6)\/z - 0*(5 - 4). Solve -y = t*y - 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 600784109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.01 + 5.11. What is u rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, c: 2, o: 2, r: 1, w: 1, g: 1}. Give prob of picking 2 c and 1 r.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 7:12 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -d - 15, 5*d - 4*p + 31 = -26. Let i(o) = 8 - 169*o**2 + 179*o**2 - 3*o**3 + 9*o + 4*o**3. What is the units digit of i(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 582, 584, 594, 618, 662, 732, 834?\nAnswer: 974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 1\/5 (c) 173\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2.649231 minutes?\nAnswer: 158.95386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a kilogram in grams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/7 or 359244?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 5:44 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (561 - 15) + (-1 - 0)?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225104.\nAnswer: 2, 11, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.4398 and 52.\nAnswer: -126.8696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -1. Let d(m) be the third derivative of -m**4\/8 - m**3\/2 + 4*m**2 - 6. What is -d(x) + 3*u(x)?\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1993800667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 12 = 15085*g - 15081*g, 3*g - 6*o + 9 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, 1, 147, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 12:36 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*n**2 + 23*n**4 - 2*n**4 - 54*n - 431*n**2 + 218*n**2 - 24 - 9*n**5 + 63*n**3 = 0.\nAnswer: -1, -2\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2220011 - 11?\nAnswer: 2220000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -2002?\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.5086 - -0.2914. What is the third smallest value in -1, 0, 0.5, 7, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 25583 and 24584 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, -8, 17487 in decreasing order.\nAnswer: 17487, -1, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 237*z - 2. Let t(s) = -237*s + 4. Give 3*l(o) + 2*t(o).\nAnswer: 237*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from ffsfsfffff.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17391, -34023, -50629, -67209?\nAnswer: -83763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -98*y**2 - y. Let m(i) = 10*i**2 + 7*i + 7. Let z(n) = 9*n**2 + 6*n + 6. Let k(u) = -6*m(u) + 7*z(u). Give k(c(q)).\nAnswer: 28812*q**4 + 588*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + v + 1. Let g(w) = 2*w**2 - 12*w. Let x(p) = -g(p) - 5*u(p). Let d(o) = -2*o**2 - 4*o + 3. Give 5*d(c) + 3*x(c).\nAnswer: -c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*c**2*k**2*p - 33849*c**2*k**2 + c**2*k*p - 5*c**2*k + c**2*p**4 - 2*c*k**2 - 80843289*k**2*p**2 - 2*k**2 wrt p.\nAnswer: 12*c**2*p**2 - 161686578*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 + -41 + 43?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1788.35 + -1788. What is the closest to -0.2 in -1\/3, o, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a millimeter in micrometers?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16.2 or 524.76?\nAnswer: 524.76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + 0*u + 0*u)*(u**3 - 2*u**2 + 6*u**2 + 0*u**3).\nAnswer: -u**5 - 4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18121531?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 205 - ((6 - 10) + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 15 = 2*j + 5*a, -9 = -2*j - 3*a for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 + 915*k**2 - 13790*k.\nAnswer: 5*k*(k - 14)*(k + 197)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -168 and -167 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 f when two letters picked without replacement from ffbfvmb?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -6*l**4 + l**3 + 7*l**2 - 5*l. Let i(p) = 7*p**4 - p**3 - 8*p**2 + 6*p. Let r(a) = 5*i(a) + 6*t(a). Factor r(j).\nAnswer: -j**2*(j - 2)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 373, -4 in ascending order.\nAnswer: -4, 3, 373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20023 is divided by 105.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -5*n + 8 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p + 44. Let h be o(-13). Let n(z) = -z**2 + 6*z - 7. What is n(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((90\/80)\/(-9)*(-448)\/98)\/((-892)\/14)?\nAnswer: -2\/223","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 95 - 92. Let m = -1496 + 2613. Suppose -4*p = v*o - 1157, -2*o - 4*p - m = -5*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 8 = 3*j. Is 18 - (-1 - -3)\/j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*v + 2*v + 114 = 0, 2*n - 2*v - 50 = 0. Suppose 2*m - n = -3*x, -4*m = -x - 5*m + 9. Solve -x + 7 = 2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 5*j - 3 - 32, 19 = -w + 5*j. Let i be 40\/(-18)*(-1)\/w. Let q = i + 19\/18. Is -0.2 >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**2 + h. Let c be w(-1). Let v be c\/20 + 1\/5. Suppose 5*j + 2*o - 739 = 0, v = -o - 2*o - 9. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, h: 4, p: 2, l: 2, o: 3, x: 2}. Give prob of sequence xeol.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 800 and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -47 - (-19 + (-7 - (-28 - -6)))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*v**3 - 121412*v**2 + 3001621*v - 2 wrt v.\nAnswer: 48*v - 242824","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 0 - 1\/60*r**5 + 0*r + 5\/24*r**4 - r**2 - 2\/3*r**3. Let q be a(3). Is 3 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 258262901 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: Let a(y) = y + 6. Let z be a(-7). Let x be z\/((-5)\/(5 - 0)). Is x greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/5, -5.2, 1\/4, -0.1, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/4)\/1*2. Suppose -x = x, s - i = 5*x. Let z(r) = 2*r + 50. Let n be z(-24). Solve -s*j + 2*y = -0*y + 13, -2*j + n*y = 12 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26344277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**3 + 6*d**3 - d**3)*(5*d + 0*d - 4*d + (-3*d + 5 - 5)*(2 - 3 - 4)).\nAnswer: 32*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6 = -2*h, 2 = 3*h + q - 7. Solve -7 = b - 3*i - 4, -9 = -b - h*i for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.59696073 to 2 decimal places.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 412*z**4 - z**3 + 9242*z**2 - 3*z.\nAnswer: 9888*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*d + 5. Suppose v = -5*n + 15, -n = n + d*v - 6. Differentiate -n - 2*x**4 + 27*x - 27*x wrt x.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 77*p**4\/24 + 9*p**3\/2 - 51*p**2. Let w(h) = -27*h - 9. Let x(k) = 6*o(k) + 17*w(k). What is x(-9)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18083917 and 964.\nAnswer: 72335668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 13006*y**2 - 508615*y - 1826300.\nAnswer: (y - 13045)*(y + 4)*(y + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (-12 - -9) - -8 - -8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 31956, 31723, 31490?\n\"Answer: -233*n + 32189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 127 and 11430.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1530250 divided by -25?\nAnswer: -61210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (-4 + -1 - -1) - 2. Solve -m - 1 = f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101707.15 rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1986, 0, -4, -1 in descending order.\nAnswer: 1986, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31 + -313450?\nAnswer: -313415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 x when three letters picked without replacement from bhbffbhxxbbbbbhbffhb.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -p - 2*p + u, -4*p = -4*u + 104. Let s be (-340)\/p + 2\/5. What is the greatest common divisor of 70 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41838\/5 - -8368. Suppose -s = 5*t - 2*s + 15, -2*s = -t - 12. Which is the nearest to -1? (a) v (b) t (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*m + 124 = 0, -4*l - 3*m = -2*m - 124. Let r = l - 22. Suppose 2*k + k = r. Sort k, -2, 0 in ascending order.\nAnswer: -2, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 51 - 188)*(-3 - 1 + 5)*(2*t + t + 2*t).\nAnswer: -1180*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -107*q + 108*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 4*p + 3*k + 1 = 0, -7*p = -2*k - 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1421, 2753, 4071, 5381, 6689?\nAnswer: 8001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/150528 and 211\/10500.\nAnswer: 18816000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4071.095 meters in kilometers?\nAnswer: 4.071095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 292077221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 15*c**3 - 1335*c**2 + c - 116. What is u(89)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y - 112 = 9*y. Let t be 0 + 1 + -1 + 98. What is the greatest common divisor of y and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1334837293\/110 + 12134704. Let q = 361\/2 + f. Let a = q - -21\/55. Do a and -0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3 or -396\/31?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33\/41 in 22, -10\/13, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/323, -6686, 5\/4, 4, 0, -0.4 in ascending order.\nAnswer: -6686, -0.4, 0, 2\/323, 5\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 44.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -406.2 - -403.2. Let o = 5.6 - 6. Let p = -1\/6 - 1\/6. Which is the biggest value? (a) o (b) v (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*m + 1 - 20*m - 365*m**2 + 10*m**3 - 22*m - 8*m**3 - 19*m in the form u*m**3 + b*m + y*m**2 + j and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2311.473g in micrograms?\nAnswer: 2311473000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 7*a + 2. Let z be i(7). Find the third derivative of 4*o**2 - 2*o**2 + 2*o**2 + 2*o**3 - 2*o**z wrt o.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2235068215 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 20*v - 49. Let f be d(6). Let b = 864 - f. List the prime factors of b.\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**5\/(d*d*d**(-1\/3)*d))\/(d**3\/d*d\/d**1))\/((d**(-4)\/((d*d**(-3\/10)*d*d)\/d))\/(d**(-2\/5))**(1\/24)) assuming d is positive.\nAnswer: d**(361\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, v: 1, n: 2, e: 2}. Give prob of picking 2 n.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(4) + sqrt(4) + sqrt(12)\/sqrt(12)))\/(sqrt(1152) + (sqrt(1152) - (sqrt(1152)*2 + sqrt(1152) + sqrt(1152)))))**2.\nAnswer: 25\/4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 8:41 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o**3 - 4*o. Let c(f) = 30*f**3 + 7*f**2 + 21*f - 7. Let s(m) = -10*m**3 - 2*m**2 - 7*m + 2. Let z(u) = 2*c(u) + 7*s(u). Determine 7*n(p) - 4*z(p).\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 523879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -90982930, -90982928, -90982926, -90982924, -90982922, -90982920?\n\"Answer: 2*f - 90982932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*z + 21324 = 14996 for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a. Let w(r) = 124 - 60 - 6*r**2 - 59 - 2*r**2. Let i be ((-9)\/4)\/((-9)\/(-24)). Let j(k) = 9*k**2 - 6. Let d(p) = i*w(p) - 5*j(p). What is z(d(m))?\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (11 - (-8 - -10)) - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 549.7711mg to grams.\nAnswer: 0.5497711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10088655 - -0.022.\nAnswer: 10088655.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22705786 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**3 + 2*n**2 - 2*n. Suppose -2*g = -6, -g = -v + 4*g - 17. Let x be l(v). Calculate the remainder when 51 is divided by (-1017)\/(-36) - (-1)\/x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 8 = 2. Let a(r) = -3*r + 3*r - 5 + r - 2*r + r**h. Is a(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 74, 124, 170, 206?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 240 divide 2423111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 11 - 1 = 0. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 417*p + 8270. Give d(-21).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**3\/3 - 7*g**2\/2 + 3*g + 11. Let s be j(-7). Let f(o) = 4 - o**2 + o + 0*o + 2*o - 1. What is f(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -429*h**2. Let z(j) = -j. Give m(z(c)).\nAnswer: -429*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 281*r + 9901. Give y(-313).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-24)\/18)\/(2\/(-9)). Let z = -3 + j. Suppose 0 = -g + z*g - 24. 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: Let p = -0.6 - -0.1. Suppose 5*w = 2977 - 2972. Let m = -8 + 6. Which is the nearest to w? (a) -0.3 (b) m (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11.0105 and -4.\nAnswer: -44.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 greater than 40\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110111 (base 2) to base 3.\nAnswer: 11102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u - 8. Let z be r(7). Suppose z*i - 8 = 4*i. Let p(j) = 126*j - 17. Is p(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = -2*m - 20. Is 20 a factor of 39\/13 - (m - 1235)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 221 and 102850.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -81 + 85. Calculate the lowest common multiple of i and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6, 3, 5 in ascending order.\nAnswer: -1, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 5*b + 4*b)*(-1 + 0 + 0)*(-7 + 30 + 23)*(3*b - b - 3*b).\nAnswer: 46*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) - (-3*sqrt(112) + sqrt(28))) + (sqrt(280)*-2)\/sqrt(10))\/(-4*(sqrt(256) - (sqrt(256) + 1*sqrt(256))) - sqrt(256)).\nAnswer: sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1908803*t**2 + t - 1908807*t**2 + 6*t.\nAnswer: -4*t**2 + 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/5*(-5)\/2. Suppose n - 5*s + 0*s - 10 = 0, 0 = -4*n + c*s + 23. What is the units digit of 1\/1*n + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**2 - 2145*o - 985482 = 0. Calculate o.\nAnswer: -318, 1033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -3. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11203131311 (base 4) to base 14\nAnswer: 29c873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 149124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -504 - -1386. Calculate the remainder when k is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 - 4943 - 9929 - 14*v**2 + 14872.\nAnswer: -13*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 116? (a) -3 (b) 1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/37, -2\/9, -2\/12653, 5, -7, 1.9, -1?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3280\/12 + 4\/(-12) + -1. Let c = 445 - x. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -11*h**3 + 4*h**2 + 39*h - 81. Calculate i(2).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 22*m**2 - 22*m + 4. Suppose 2*l = 3*l - 5. Let i(u) = 21*u**2 - 22*u + 5. Let r(j) = l*n(j) - 4*i(j). Find the second derivative of r(f) wrt f.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(2))\/sqrt(9) + -5.\nAnswer: -5 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 9:55 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 25.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 47, 90, 129, 164, 195, 222?\n\"Answer: -2*c**2 + 49*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 20*y - 355. Let h be r(17). Let g(d) = -5*d**2 - 4*d - 3. Let a be g(-4). Let k = h - a. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*m + 8*m + m + 18*m - 79*m.\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -150 + 87. Let l = i + 63.43. Round l to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 4*u + 30. Suppose 2*d - 3*v = -11, 10*d - 9*d = -4*v + 22. Solve d + u = -4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -a**4\/36 - 2*a**3\/9 + 7*a**2\/2 - 292*a. Suppose n(m) = 0. What is m?\nAnswer: -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p\/(p\/((p\/((p**(5\/3)*p)\/p))\/p)))*p)\/p*p**(-29) assuming p is positive.\nAnswer: p**(-82\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/1197 and -109\/2844.\nAnswer: 378252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**4\/7 - 20*f**3\/7 - 16*f**2\/7 + 20*f\/7 + 18\/7 = 0. Calculate f.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/6 - 20\/12) + (-110)\/(-87)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 13 + 13. Suppose j = -12*h + 11*h + 13. What is the least common multiple of h and 3?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9617585.\nAnswer: 5, 709, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 9921 = 4*r, -5*s + 3*r = -3*s - 3973. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4170.7755 to the nearest 10.\nAnswer: 4170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -h**6\/40 - h**5\/60 + h**2\/2 - h. Let x(a) be the first derivative of c(a). List the prime factors of x(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 4*u**5\/5 + 55*u**4\/24 - 2*u**3\/3 + 108*u**2 + 2*u. What is the second derivative of z(y) wrt y?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h. Let n(u) = 4*u**2 + 6*u + 14. Let r(v) = -5*v**2 - 7*v - 13. Let a(f) = 7*n(f) + 6*r(f). Give g(a(q)).\nAnswer: -2*q**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 118758 and 1283.\nAnswer: 152366514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*q = 1351257, -3*x - 10*q + 194239 + 616480 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4459705 and 8435.\nAnswer: 31217935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -2)*((-415)\/(-332))\/((-1)\/2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 732164?\nAnswer: 2, 183041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 13*v**2 + 5352*v + 518. Determine a(67).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3)*t)\/(t\/((t*t*t\/(t**(-2)\/t)*t)\/t*t)))\/(t\/t**13*t)**(11\/2) assuming t is positive.\nAnswer: t**(129\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5899934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 2:14 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c45 (base 13) to base 9.\nAnswer: -8788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 6:06 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 1 + 0 + 3. Suppose 20 + 20 = s*k. Solve u - k = 5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*c - 59, 4*c + 8*x - 116 = 10*x. Solve -2*u - 5*b = c, -2*u - 16*b = -20*b - 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 8*w**3 + w**2. Let y be v(-1). Let r(l) = -l - 6. Let j be r(y). Let q(i) = 5*i. Let p be q(j). Solve p*z = 2*o + z, 5*o - 5*z = -5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-13)\/(-52))\/((0 + 6)\/738216)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -12 - 37 + 52 + 7*d. Let k = 8 + -4. What are the prime factors of a(k)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrtrctintmmmnrtnnrtc. What is prob of picking 2 r, 1 m, and 1 c?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 171.84 and -4.\nAnswer: 167.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6465*i + 71107. Give r(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -483574\/1761 - 38\/587. Let z be 0 - (1 - (-4048)\/(-15)). Let d = z + g. Calculate the common denominator of -76\/15 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(-19 + 4 + -1). Let y = c + 23. What is the remainder when ((-9)\/(-6))\/(y\/(-156)) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 109511 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1267693835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33262*q**2 - 2*q + 546.\nAnswer: -66524*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (266\/1064)\/(2\/1).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 349 + -310.2. Let g = v - 69. What is g rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 14 = -4*y, -2*y + 3*y - 11 = -4*w. Let a be 16\/(-20)*10\/(-4). Find v, given that 4*v + v**2 - 5*v**w + a*v**3 - 2*v = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 665 + -601. What is the remainder when 317 is divided by l?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.69 + -9.029. What is r rounded to 1 dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, y: 3, l: 3, m: 6, a: 1}. What is prob of picking 1 a, 1 y, and 1 l?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 21*m**2. Let o(x) be the second derivative of x**6\/120 + x**4\/6 + 66*x + 2. Let j(q) be the third derivative of o(q). Determine j(w(g)).\nAnswer: 126*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a**4 + 162*a**4 + 228223*a**2 - 228124*a**2 + a wrt a?\nAnswer: 3960*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1024143155 + 13*w + 1024143155.\nAnswer: 13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from wbwwwwbwww?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 14*u**2 + 2*u - 21. Calculate d(14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2731 a factor of 148891496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 6:33 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/7*10276\/2202*-21?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0021107 to four dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2*f*f**23)\/(f**(-10))**(-13\/6) assuming f is positive.\nAnswer: f**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2060*r + 15*r**2 - 2 - 23*r**2 + 11*r**2 + 17*r**2.\nAnswer: 20*r**2 + 2060*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 2*q - 69, 4*a + a = 4*q - 363. Let j = -47 - a. Suppose j = p + p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 772320253?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1812478.01154 - 1812453. Let c = 25 - u. Round c to four decimal places.\nAnswer: -0.0115","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-906525)\/850)\/(-711)*(-4)\/18*3*46?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.984097 to one dp.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1128 + 2590. Suppose 4*o = i + 282. Suppose g + 2*x - 106 = 0, 4*g - x = 3*x + o. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/1148 and -22\/533.\nAnswer: 14924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -27*v - 244. Let h be c(-9). Let g be 0 - (h + -6 - -18). Let w(u) = 9*u**2 + 9*u - 3. Let i(s) = 5*s**2 + 5*s - 2. Give g*i(n) + 6*w(n).\nAnswer: -n**2 - n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 9*n**2 - 10*n + 4. Let c be i(10). Let w be 34\/c + 6\/4. Calculate the highest common divisor of w and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 + 11)*(-315)\/(-84).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*h**4 + 9*h**3 + 3*h**2 - 22815*h wrt h.\nAnswer: -216*h**2 + 54*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**8\/1512 + 29*v**7\/945 - 56*v**6\/135 + 98*v**5\/135 - v**2 - 110. Factor n(b).\nAnswer: -2*b**2*(b - 14)**2*(b - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**3 + 15*t**2 + 4*t. Give s(8).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 549 - 93 = 62*f - 164 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2803 - -2863. Calculate the greatest common factor of 5340 and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 20*c**2 + 92*c - 18. Calculate x(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -116070, 3, 2, 0.\nAnswer: -116070, -5, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-1 + (-4)\/(-1)). Let h be 82550\/30225 + (-33)\/31 + 1. Determine q so that -h + k*q**2 + 8\/3*q - 2\/3*q**3 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 55.27.\nAnswer: -22.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/963 less than or equal to -395\/56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/7240 and -49\/14360540.\nAnswer: 28721080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/(-50) - 123\/(-5). Suppose -3*s - s = 3*z - 20, 0 = -5*z - 5*s + w. Solve z = 5*n - 12 - 13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 227.506 - 224. Let t = 0.506 - l. What is the nearest to t in 0, 0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4*g - 51, -2*g + 56 = 2*i + 26. Calculate the remainder when (94\/(-6))\/((-1)\/3) is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -100*p**2 - 2000*p - 7965. Give o(-4).\nAnswer: -1565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 8:57 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 12*n**2 + 67*n + 15. Give w(-5).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 7*v + 20. Calculate x(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 23290 to the nearest 1000.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k + 0*k - 2*k)*(-1 + 3 - 3 + (2 - 1 - 3)*(1 + 3 - 2) + 4 + 2 - 4 + 0 - 3 + 4 - 1 + 5 - 3)*(-4 - 10 - 71)*(5 - 4 - 2) as g*k + h and give g.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 65 = -5*i. Let h = 34 + -48. Let w = i + h. Is w > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*c - c**2 - 2*c - c**3 + 9*c)*(-74*c**2 - 107*c + 107*c) + 5*c**2 - 5*c**2 - 2*c**5.\nAnswer: 72*c**5 + 74*c**4 + 222*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -a8bcb?\nAnswer: a8bc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-2\/55))\/c**20*(c*c**(-5))\/(c*(c\/c**14)\/c) assuming c is positive.\nAnswer: c**(-548\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 634010664?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -18824906 and 4.40566?\nAnswer: 18824910.40566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 8 + 5*b**3 - 2.\nAnswer: 5*b**3 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/48)*u)\/u**(-27) assuming u is positive.\nAnswer: u**(1343\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/18 + (-19966)\/(-18) + 2. Let r = -24 + z. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 - -51. Let a(h) = 6*h + 30. Let j be a(r). Calculate the highest common factor of 18 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 258 by 129.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 8\/9 - 10\/9*v + 2\/9*v**2 = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-5\/2)*b\/((b*b**(-4)*b*b)\/b)*b**(2\/3)*b*((b\/b**(-5))\/b)\/b assuming b is positive.\nAnswer: b**(37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4269443 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 12 + 1 + -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 29094112091308 + 4\nAnswer: 29094112091312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-84)\/(-24) + -4*1. Which is bigger: g or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**2 + 0*r**2 + 3*r**4 + 3 + r**4 - 3 + (-4 + 2 + 6)*(-r - 3*r + 2*r)*(-3*r**3 - 2*r**3 + 3*r**3) to g + p*r**4 + w*r + m*r**3 + o*r**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 190*f + 776. Let h be r(-4). Which is the nearest to h? (a) -1\/8 (b) 1\/3 (c) 4 (d) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g. Let a(u) = 14661*u**2. Determine f(a(y)).\nAnswer: 29322*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -149 - -222. Let h = l + -73.00002. Round h to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73 - 71 + o + 220 - 2*o - 77.\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -902441, -902439, -902427, -902399, -902349, -902271, -902159?\nAnswer: -902007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -0.1, 404, 1\/75, 2\/9, 1\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 587?\nAnswer: -58a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 h when three letters picked without replacement from tytyshtsss.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -13*t - 10. Let h be q(-3). Let a be (-1*h)\/((-1)\/(-20)). What is a rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30456596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/30*((-34)\/(-24) + -1). Let d = -0.7 - -0.72. Which is the biggest value? (a) -2 (b) d (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -17. Let m be (40\/p)\/((-16)\/168). What is the greatest common divisor of 14 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n + 20. Let v(x) = 1. Let s(g) = -m(g) + 4*v(g). Let a be s(3). List the prime factors of 14\/49 - (1023\/a)\/3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (126\/168)\/((-5)\/(120\/(-99))).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12538.1451 - 12537. What is m rounded to 2 decimal places?\nAnswer: 1.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 11*h + 25*h + 8*h - 5*h - 17 + 2*h**2. Let v be q(-21). Is 48 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, -9, -412, -32.\nAnswer: -412, -32, -9, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 1784, 227, 0.2 in decreasing order.\nAnswer: 1784, 227, 1\/2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -7*w. Let m(t) = -11*t - 92*t**2 + 182 - 182 + 37*t + 95*t**2. What is m(d(y))?\nAnswer: 147*y**2 - 182*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*a - 5*c + 24, -3*a + 3*c = 0. Suppose -4*d = -l + 17, -d = -l - 12 + 17. Is 151 + l*a\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 105\/38 and -111\/10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2771 and 272?\nAnswer: 44336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - u + 65993 = 0, 4*u = -5*g + 149034 + 15944. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49114 or -49105?\nAnswer: -49114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2445520 to the nearest integer?\nAnswer: 1564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/23 or -1?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 s when two letters picked without replacement from {i: 1, r: 1, s: 1, t: 1, f: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + f + f)*(46 + 2 - 8 + 12)*(44 + 69 - 48).\nAnswer: 6760*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*((o**(-2\/13)*o)\/o)\/o)\/(o\/((o\/(o\/o**(3\/8)))\/o)))\/(o**1*o*o\/((o*o**(-6))\/o*o)))**(2\/19) assuming o is positive.\nAnswer: o**(-1017\/988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150 - (12 - 141) - (-16 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + sqrt(16)\/(sqrt(16)\/sqrt(2)) + -4.\nAnswer: -4 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 17*i + 115. Let j(z) = -5*z - 4. Calculate the remainder when j(-3) is divided by u(-22).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d - 4. Let c(l) = 2*l + 1. Give 6*c(z) + 2*j(z).\nAnswer: 14*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 715952 and 3086.\nAnswer: 715952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15 + 2841\/189)*(1427 + 40). What is p in -32\/7 - r*p**2 - 74\/7*p**4 - 6\/7*p**5 - 246\/7*p**3 - 180\/7*p = 0?\nAnswer: -8, -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 13. Suppose -n*c + 36 = -64. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 27 + 8 = 3*n, 5*a + 3*n = 16. Suppose a*q = -b + 117, -3*b + 5*q - 4*q = -383. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 4*m**2 + 5*m - 102. Calculate p(-8).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -630*(-12)\/(-8) + -3. Is 13 a factor of (-3)\/(-9) + y\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-249 - -251)*(-16 - 21272\/(-1328)).\nAnswer: 3\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04371493 and -3.8.\nAnswer: 0.166116734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 141830 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-4\/7)\/j))\/((j*j**(-6))\/j))\/(j\/(j**(2\/3)*j)*j**(2\/21)) assuming j is positive.\nAnswer: j**(64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 160b2?\nAnswer: 160b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -r - 3*n, 0 = 5*r + 5*n - 2*n - 8. Let v = 3 - r. Solve -19 = v*a - 5*b, 3*a + 9 = -2*b + 3*b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - -8*2\/(-4). Let b be (-1)\/(-2) + (-299)\/k. Round b to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2. Let z(l) = -3*l**2 - 5*l + 5. Let j = 2 - -4. Let k = 12 + -7. Let i(g) = 3*g**2 + 6*g - 6. Let s(x) = j*z(x) + k*i(x). What is s(t(a))?\nAnswer: -3*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 7. What are the prime factors of j(7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b8b9 (base 12) to base 6\nAnswer: -233553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 36*k**2 + 124*k + 242. What is a(-39)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/20)\/((-621)\/184).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5297457 and 13053.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-19 + 12))\/((-2)\/(-12)*(-159)\/106)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 482\/(-154) + (-11)\/77 + 4. Solve -12\/11*h**3 - 2\/11*h**5 + m*h**4 - 2\/11*h + 0 + 8\/11*h**2 = 0 for h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 175.68 - 185. Let f = 9 + i. Let j = -0.32000026 - f. Round j to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 132 = -1558. Let y = g - 2482\/3. Calculate the common denominator of y and -4*(-12)\/(-22) + -2.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 612501 to the nearest integer?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -24. Let k(d) = -5*d + 2*d**3 - 3*d**3 - 19 + 6*d**2 + 3*d**2. Calculate the remainder when z is divided by k(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yllkkyyyakl. Give prob of sequence lk.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 10*t**2 + 11*t + 4. Let d be m(11). Sort d, -5, 8 in ascending order.\nAnswer: -5, d, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/5*(-1120)\/(-64). Suppose 4*o + 5*w = -111, 0 = -2*o + 5*w - 2*w - 39. Let i = a + o. Calculate the remainder when 87 is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) -238 (c) 0 (d) -4\/5 (e) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 13*p**2 - 3*p + 3. Let v be m(10). Let x = -145 + v. Let h = x + -28. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8726, -34901, -78486, -139445, -217742?\n\"Answer: 6*s**3 - 8741*s**2 + 6*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(1\/(-27))*25\/450*12\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/36 - 6398\/441) + 804\/(-469)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3200\/288)\/(((-25)\/((-4875)\/(-104)))\/(24\/(-10)))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13218807 - -6870010. Let j = k - -6348787.000014. Let s = j + 10. What is s rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -102. Let v = m + 109. Is v > 102\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 0 - 4. Let z = -9 - -4. Let q = -3 - z. What is the greatest common divisor of r and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -21*a**5\/20 + 5*a**4\/4 + 4*a. Find the third derivative of d(x) wrt x.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717351549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*x + 3*u, u + 11 = -3*x + 6*u. Let l be 189\/(-14) - x\/(-4). Let y be (-6)\/l*(-12)\/(-9). Which is the nearest to 2\/9? (a) 1\/4 (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x - 14. Let k be t(-10). Is (k\/5)\/(4\/(-310)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-21))\/(((-8364)\/2009)\/51).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -12868*d**2 - 54. Let x(t) = 3217*t**2 + 12. Give 2*q(l) + 9*x(l).\nAnswer: 3217*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1196718 rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -21*q - 18. What is t(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -10*l**2 - 30*l - 15. Let i be n(-2). Suppose -41 - 43 = -3*u. Let f = 37 - u. Which is smaller: f or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217392 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 881, 1747, 2615, 3485?\nAnswer: 4357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 4*k + 8, -2*k + 3*k - 3 = -h. Let y(w) = -4 + 2*w + w**2 - h + 6. Determine y(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 28*l**2 + 53*l + 22. Let t be u(-26). Let k = 0 - -3. Which is the third smallest value? (a) 1 (b) k (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 20 = w. Suppose 0*r - 3*p = -w*r + 3, -3*r + 2*p = -3. Let h be (r\/(-9))\/((-3)\/27). Solve -h*x - 6 = -x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133461 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -21*s**2 - 19*s - 26. Let y(l) = 10*l**2 + 10*l + 12. Let q = -401 - -395. Let r(z) = q*t(z) - 13*y(z). Determine w so that r(w) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*w\/(w*w*w**(-1))))**0*(w\/w**(-2))**(-30\/7) assuming w is positive.\nAnswer: w**(-90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/13)*p**4*p)\/(p\/(((p\/(p*p\/(p*p**(-1\/3))))\/p)\/p)*p*p**(-2\/11)))\/((p**(1\/4))**(8\/3)\/((p*p\/(p*p\/p**(-3))*p)\/p**(1\/7))) assuming p is positive.\nAnswer: p**(-1886\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -t - 14, 3*t - 323*l + 322*l = -28 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 88572189 to the power of 1\/2, to the nearest integer?\nAnswer: 9411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(-6))*o**1*o*(o*o*(o\/((o\/(o**(-2\/7)*o))\/o))\/o)**18)\/((o\/(o\/(o*o*o**(-1))))**(-7\/3))**(-45) assuming o is positive.\nAnswer: o**(-337\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180890.562990265 + -0.4.\nAnswer: -180890.962990265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000351 to 5 dps.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l - 3. Let n be i(-3). Factor -n*p**2 - 15*p**4 - 42*p**3 + 3 - 9*p**2 - 18*p**4 - 9*p**5 + 3*p.\nAnswer: -3*(p + 1)**4*(3*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -2*p - 2*p + 109, -2*p = 5*v - 107. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + 2\/(-7)*-1*-7. Solve 6*m = z*m - 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -r**4\/20 + 161*r**3\/5 + 969*r**2\/10 - 14*r - 58. What is f in l(f) = 0?\nAnswer: -1, 323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 471255 != 471221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37470)\/8743*(-7)\/(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v**2 - 3*v + 3*v**3 - 5795 - 4*v**3 + 5800)*(0 + 0 - 19*v) in the form q*v**4 + j*v + o*v**3 + m + c*v**2 and give j.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/7 (b) -2 (c) -0.29 (d) 63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68.6 - 69. Suppose 371*h = 755*h - 377*h - 14. Which is the closest to h? (a) -1 (b) r (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -101, -210, -309, -386, -429?\n\"Answer: 2*a**3 - 7*a**2 - 102*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.6 + -115.6. Let f = j - -104. Which is the closest to -0.2? (a) -1\/6 (b) f (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (150\/36)\/((-20)\/12).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 952771 is divided by 476383?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 10*y + 11. Let i be g(-9). Suppose i*a + p - 58 = 0, 4*a - 3*p + 4*p - 120 = 0. List the prime factors of a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 3*v + 215, 3*s - 472873*v + 472872*v + 155 = 0 for s.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 r when two letters picked without replacement from ugguoourgoogogryg.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(4\/5))\/(b**5\/b))\/(b\/b**(-2)*b)**(-2\/7) assuming b is positive.\nAnswer: b**(-37\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16263 and 1627551.\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*n = 45*n + 2. Put n, -5, 1 in ascending order.\nAnswer: -5, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a - 6*a + 2 - 2*a)*(2*a - a - 2*a + (-5*a + 3*a + a)*(-8 - 5 + 2) - a - a + a).\nAnswer: -18*a**2 + 18*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 529*t**2 + 5*t + 932 - 933 + 14*t - 19*t.\nAnswer: 529*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-141 + 87048\/620)*(-1130)\/6.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(-3)\/j)\/(j*j**8))\/(j**(2\/9)*j**(-2\/9)))**(-2\/35))**(-1) assuming j is positive.\nAnswer: j**(-26\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 7:09 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/20*23\/(897\/(-26))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18221 and 8512?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -117, -178, -239, -300?\nAnswer: -361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 185 divided by 5\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n**4 + 2*n**3. Let a(r) = 6*r**4 + 3 - 3 + r**2 + 7*r**3 - 4*r**3. Let u(k) = -2*a(k) + 3*t(k). What is the third derivative of u(x) wrt x?\nAnswer: 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - o = -2*y - 33, 2*o + 14 = -y. Let m = y + 14. Is ((-101)\/(-4))\/(m\/(-56)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3548792, -7097583, -10646374, -14195165, -17743956, -21292747?\nAnswer: -24841538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + 8. Suppose 25 = 18*u - l*u. Which is the biggest value? (a) u (b) -0.2 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixty-eight thirds of a hour?\nAnswer: 1360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286794 is divided by 43?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8108 is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 63, 126, 191, 258, 327?\n\"Answer: a**2 + 60*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 30 + -16 + 75 + -23 + 3\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*-3*(-4)\/24. Suppose t*i = 14 + 164. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36581?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 22. Solve 15 - 6 = -p*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2206378*c + 4413045*c - 2206070*c.\nAnswer: 597*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110101 (base 2) to base 7.\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1072)\/(-67))\/(((-42)\/(-7))\/6))\/15?\nAnswer: 16\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 7*f. Suppose 0*i = 4*i + 2*i. Let k(d) be the third derivative of 0 + i*d**4 - 3*d**2 + 1\/30*d**5 + 0*d**3 + 0*d. Calculate t(k(s)).\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -173.2 + 177. Let y = 2.8 - t. What is the third biggest value in -2, y, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2890)\/595)\/((-20)\/(0 - -5) + (-16)\/(-7)).\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (27 + 75992\/(-2001))?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10000 = v - 2*v. Round v to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 2*z - 20 = 0, 5*s - 3*z - 1365 = 0. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 313.3987cm?\nAnswer: 3133987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1828764904?\nAnswer: 2, 239, 661, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2923*x + 2911*x + 60 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 6*u - 3*f + 16, -2*f + 9 = u. Suppose 5*p = 4*i - 10, 0 = -4*i - p - 1 - u. Solve 3*m + 5 = a - 4, i = 4*a + 5*m - 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 585463.\nAnswer: 17, 34439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6, 23, 48, 81?\n\"Answer: 4*x**2 + 5*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1190312 by -38.\nAnswer: -31324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3435, -6866, -10295, -13722, -17147, -20570?\nAnswer: -23991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -45*1 - (-3805)\/(-761).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21\/20 greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 247 = -215 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 + -30. Suppose 3*g + 20 = 5*m, 0 = 2*m + 2 - k. Solve 2*b + 2*b - t + 13 = g, -9 = 2*b - t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*g**2 + 0 + 0*g + 4\/5*g**3 - 7\/5*g**4.\nAnswer: -g**3*(7*g - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2857383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21106 - -22473. Which is the nearest to o? (a) 0.3 (b) -1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**2 + 2239*c - 511593. What is d(-734)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-4 - -2))\/(1\/2). Solve 3*p = -5*o + 30, -5*o + 4 + 1 = -x*p for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -49*w - 63. Suppose -84 = -5*h - 5*u + 86, 0 = -h - 5*u + 50. Let y(d) = 3*d - 12 + h - 14. Give -4*r(s) - 63*y(s).\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -492*i + 992*i + 3*i**2 - 500*i - 15*i**3.\nAnswer: -15*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/7 - (-1)\/(-28). Which is the closest to j? (a) 2\/7 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -11, 1.1 in descending order.\nAnswer: 1.1, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2081484 and 18?\nAnswer: 2081484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1303858 + 2235643. Suppose -15*t = -0*t - d. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 264*y**2 - y. Let d(v) = 21*v**2 + 8*v + 8. Let b(s) = 13*s**2 + 5*s + 5. Let i(g) = -8*b(g) + 5*d(g). What is z(i(p))?\nAnswer: 264*p**4 - p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -708 - -1155. Let j = x - 447.00724. What is j rounded to four dps?\nAnswer: -0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04*-753067\nAnswer: 30122.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 236 - 111. Let w be g\/(-390) - (-1)\/6. Sort w, 0, -4.\nAnswer: -4, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ht when two letters picked without replacement from qhcqqhqfbqbfthqqq.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 15173080?\nAnswer: -15173083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 504462201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 15) to base 13.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.07 (b) -1303139 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 269, 665, 1459, 2783, 4769?\nAnswer: 7549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -57*f + 2124. Give v(37).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43912\/63 - 697. What is the third smallest value in -4\/9, 1\/12, h?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, u: 3, j: 1, w: 10}. What is prob of picking 3 w and 1 d?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 16, 35, 52, 61, 56, 31, -20?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**2 + 58*y + 72. Let b be o(30). Let a(u) = u**3 - 12*u**2 + 15*u - 36. Let w be a(11). Solve -h - b = -w for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 0*b. Let o = -2 - b. Is 278\/8 + o\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 26*d**2 - 68*d - 94. What is the units digit of s(21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23 and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 246, 252, 262, 276?\nAnswer: 294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1320 and 3432?\nAnswer: 17160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1706.3598 months?\nAnswer: 1.4219665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24834 is divided by 480?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-4 - -8) - (2 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -6*f - 4 - f**2 + 8 - 7. Let j be a(-5). Suppose -2*k - 15 = -21. Sort 4, k, j in ascending order.\nAnswer: j, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 938874.\nAnswer: 2, 3, 167, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.8296 + 3.467. What is b rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 5*p + p - 34, 3*d = 5*p + 38. Let z be d*10\/(-15)*-5. Solve 0*r + 3*w - 20 = 2*r, -z = -5*w for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5794*a**2 - 58 - 4900*a**2 - 40 + 15 wrt a.\nAnswer: 1788*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0268 + 3.0268. What is the biggest value in 2, 33, t?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194015 is divided by 217.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 47274 - -126?\nAnswer: 47422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, f: 1, r: 5, a: 3, v: 1}. What is prob of picking 3 r?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*p + 4*p**4 - 4*p**4 - 15*p + 2*p**5 wrt p?\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8190*z**3 - 4635*z + 4635*z + z**2 - 2776*z**3.\nAnswer: 5414*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2665226023.\nAnswer: 31, 113, 760841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8893, -19697, -32407, -47029, -63569, -82033, -102427, -124757?\n\"Answer: -u**3 - 947*u**2 - 7956*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*t**4*u**2 - 84*t**4*u + 2*t**4 + 10*t**2*u**2 + t*u**2 + 49*t wrt t.\nAnswer: 168*t*u**2 - 2016*t*u + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10157.\nAnswer: 7, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -415*r**3 + 936*r**2.\nAnswer: -2490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b - 5. Calculate h(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + (1 + sqrt(1584) + -2)*3).\nAnswer: -21 + 108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-63)\/(-6) + 4\/(-8). Suppose -8*a + 3*a + s = 0. Solve -a*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14299*o - 37555 = -981289 for o.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -9*l. Let c be g(-2). Let t be c\/(-30) - (-56)\/10. Calculate the greatest common factor of t and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 750, 829, 990, 1275, 1726, 2385?\n\"Answer: 7*w**3 - w**2 + 33*w + 711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) 2 (c) -5 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1675*w**3 - 259*w**2 - 6 wrt w.\nAnswer: -10050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -19.2336 and 20.\nAnswer: 0.7664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of b**2 + 37*b + 2. Suppose 4*k + 20*q - 21*q + 65 = 0, -k - 2*q - 23 = 0. Is 2 a factor of t(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -11 + 11 + -2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 4*d**2 - 2*d - 1. List the prime factors of q(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1322a7 (base 11) to base 15\nAnswer: 41965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) 8 (c) 2\/59 (d) -197\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -793034, -793445, -793856, -794267, -794678, -795089?\nAnswer: -795500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of c**3\/3 + 3*c**2\/2 + 5*c - 33. What is the remainder when 11 is divided by y(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 10*l**2 - 4*l. Let b be (1 - -10)*(1 - 0). Suppose -20*z - 52 = -22*z. Calculate the remainder when u(b) is divided by z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -363226887821 - -363226910707.54699964. Let p = -22885.847 + g. Let x = p - 0.7. Round x to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -4545?\nAnswer: 4550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2922 - 1795. Let d = l + 1386. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 51*r + 3324. Calculate n(-36).\nAnswer: 1488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -182*s**3 - 2*s**2 + 150*s - 299. Calculate i(2).\nAnswer: -1463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 5 = -5*t, -3*t = y + 52. Let c = 19 + y. Is -35 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5707 (b) -0.1 (c) 1\/2 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.23 - -7969.\nAnswer: 7968.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.179 - 2.8.\nAnswer: -2.621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.576445 milliseconds in microseconds?\nAnswer: 576.445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 661961 is divided by 1693?\nAnswer: 1691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 17*r**2 - 3*r - 3. Suppose -8*c + 4*c = -4. Let s(d) = d**2 - d - 1. Let t(h) = c*q(h) - 2*s(h). What is the units digit of t(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23244123 (base 5) to base 2.\nAnswer: 110011110110111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -43*d**3 - 4*d**2 - 152*d - 453. Calculate o(-3).\nAnswer: 1128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000017085 to six decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1169 or 8\/5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -227, -227, -225, -221?\n\"Answer: o**2 - 3*o - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*((-11)\/12 + 1). Which is the closest to i? (a) -5 (b) -6 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -4 - (2 + 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 13*t**2 - 2*t + 9. Let q = 8 - 18. Is y(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2\/63 (b) -5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(720) + -5*sqrt(720)*4 - sqrt(720)) + sqrt(720) - (-5*sqrt(720)*-3 - sqrt(720)))*4)**2.\nAnswer: 112907520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.3160573 decades?\nAnswer: 0.003160573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57 + -29. Let d be 312\/(-14) + 8\/t. What is the units digit of d\/(-12) - 2\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 x when three letters picked without replacement from {x: 2, r: 4, f: 4, o: 5}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/((-220)\/(-8))*(-385)\/(-1463).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-18 - (14 - 26)) - 33.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 e when two letters picked without replacement from {c: 2, w: 2, k: 2, e: 3, o: 8}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3383554 is divided by 281962.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*o + 185*o = -331*o - 494*o - 30836 for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -5147*n + 5144*n + 159, v - 3*n + 150 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.6, 0.73, 257?\nAnswer: 257","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 55*f + 182. Give v(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 3 - 3 + 3 + r - 3 + (3 - 3 + 2)*(r + 1 - 1) - 1 + r + 1)*(-723*r + 635*r - 621*r).\nAnswer: -2127*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/3 + (3 - -5). Let x = -6 + w. Suppose -4*y + 2*y = -20. What is the remainder when y is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 36, 55, 24, -81, -284, -609, -1080, -1721?\n\"Answer: -4*t**3 - t**2 + 50*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - -9. Let q = o + -2. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v + 797 = 95. Suppose -6*l = -v + 51. Sort l, 2, 5 in ascending order.\nAnswer: l, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1716*h + 1664*h)*(5 + 2 - 3).\nAnswer: -208*h + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j**2. Let x(p) = -2*p - 3 - 9*p**2 - 7*p + 11*p**3 - 12*p**3. Let q be x(-8). Let z(o) = -4*o - q*o + 8*o. Give z(u(c)).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h*(h*h**(-31)*h)\/h)\/h)**(2\/23) assuming h is positive.\nAnswer: h**(-58\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005167952763 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3927 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -21. Let c(l) = -10*l - 4. Let t be c(x). What is the highest common factor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-6)\/(-135)*1\/2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*c + 17*c + 28. Calculate the greatest common divisor of 203 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -44 (b) -3 (c) -1\/4 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2 + 2)\/(-4 + 3))\/(-1). Suppose -4*x - 1605 = -5*g, p*x = 5*g + 2*x - 1605. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 15 = -0. Let c be (-635)\/(-25) - 2\/w. What is the greatest common divisor of 10 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 6*c**2 + 5*c - 56. Let m(h) = 7*h**2 + 6*h - 56. Let s(p) = -5*m(p) + 6*y(p). List the prime factors of s(13).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -80 + 12. Suppose 5*m - 43 = s. Calculate the greatest common factor of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**3 - 2*y + 21. Let i be s(0). Let f(w) = -72*w + i*w**2 + 72*w. Let x(q) be the second derivative of -q**3\/3 - q. Calculate x(f(k)).\nAnswer: -42*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27902561327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 252780 divided by -8426?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iluluiuiolhhhhudiu. Give prob of sequence lh.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiitrit. What is prob of sequence trt?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from zkccdzzddz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 190, 407, 722, 1147, 1694, 2375?\nAnswer: 3202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*sqrt(68)\/(6*(sqrt(4) + sqrt(8)\/sqrt(2))) - ((sqrt(1377) - (sqrt(1377) - 3*(sqrt(1377) + 1))**2) + (1 + sqrt(1377))**2 + 0)) + 3.\nAnswer: 487*sqrt(17)\/6 + 4139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24765 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 < 120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -160, -415, -872, -1633, -2800, -4475, -6760, -9757?\n\"Answer: -17*q**3 + q**2 - 139*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (17\/(-51) - 38\/12)*200. What is v rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100620 and 50310?\nAnswer: 100620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 224 = 4*r. Let q = r + -28. Factor 2\/9*f**2 + 2\/9*f - 2\/9*f**q - 2\/9*f**3 + 0.\nAnswer: -2*f*(f - 1)*(f + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3905320 and 29.\nAnswer: 3905349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 125. Suppose 3*h = -3 + w. What are the prime factors of h?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + u**2 + 3*u**2)*(-108*u**3 + 91*u**3 + 45*u**3).\nAnswer: 140*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 51*w**3 + 5*w + 5. Let d(i) = 67*i**3 + 7*i + 6. Calculate -10*d(f) + 13*o(f).\nAnswer: -7*f**3 - 5*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 6*g. Let f(s) = -s**2 + s - 420. Let w be f(g). Let j = 599 + w. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 34, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c - 8. Let l be m(-7). Suppose l*h - 2*h - 8 = 0. Suppose -h*x + x + 138 = 0. Is x a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-6 - (6 + -1 + -6) - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 104009486 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 102936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -4 - (1 + 4 + -4 + 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 837663453 to the nearest integer?\nAnswer: 28942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -13*r**3 - 3*r**2 - 6*r + 5. Let t be v(4). Let d = -432 - t. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c**3*x - 8*c**2*x**2 + 42*c*x + 139*x**2 wrt c.\nAnswer: 6*c**2*x - 16*c*x**2 + 42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -5. Let s(a) = a - 10. Suppose 0 = 8*x - 47 - 65. Let t be s(x). Solve w*k + t = -2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3432 (base 5) to base 7\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/16 - (-21)\/4. Suppose 34 + 11 = b*x. Suppose 4 = -u, 2*l - 4*u = -0*l + 26. Calculate the remainder when x is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -200*x + 67431. Give k(339).\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4 + 19 = 0. Suppose -2*r + 13 = -y*b, 4*b + 0*b - r + 24 = 0. Is b > -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -11*o**7\/210 + 61*o**3\/6 + 68*o**2. What is the derivative of n(a) wrt a?\nAnswer: -44*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65960 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*a*p**3 + a*p + 7*l*p**3 - 7*l*p**2 + 2*l + 6*p**3 wrt p?\nAnswer: -24*a + 42*l + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -45, -72, -115, -180?\nAnswer: -273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -227*y + 30406. What is z(134)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4443129 and 2583.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 21*(0 - 10\/(-15))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 14) to base 12.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -31, -51, -73, -97, -123?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 180 - 180 + x**2. Let q(d) = -d**2. What is -4*g(b) - 9*q(b)?\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 19 (c) 2\/9 (d) 1\/9 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - y - 5*n - 5 = -25, -n + 1 = -2*n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/((u*u**11)\/u*u))\/u*u*u)*u\/(u*u**(2\/11)*u))\/(u\/((u\/(u\/((u**6\/u)\/u)))\/u)*u*(u*u**(2\/73)*u)\/u) assuming u is positive.\nAnswer: u**(7862\/803)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g**3 + g**2 - 1. Let k(y) = 5*y + 7. Let f be k(-1). What is r(f)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10243138.2 rounded to the nearest 1000?\nAnswer: -10243000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8108.056 - -8108. What is the nearest to 0 in 3\/5, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -4*k**3 - 788*k**2 - 40728*k - 531360 = 0.\nAnswer: -123, -54, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - 18 + 18 = 0. Let z = -9 + 18. Suppose -4*t + m*s = -3*s - z, 5*t - 25 = s. Calculate the remainder when t is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o + 13*o - 62*o + 30*o.\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(2\/3)\/j))**(-25\/3)*(j**7)**(9\/7) assuming j is positive.\nAnswer: j**(56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9943168*a*c + 503*a - 873 with respect to c.\nAnswer: 9943168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*o - 144, t - 162 = 6*t + 4*o. Let k = t + 17. Let b be 12\/(-10)*(455\/14)\/k. What is the greatest common divisor of 24 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, a: 1, z: 4, h: 1, g: 2, o: 11}. What is prob of picking 1 h and 1 g?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 47738 from -222365131.8.\nAnswer: -222412869.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 less than or equal to 118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147035064.\nAnswer: 2, 3, 11, 241, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000143707925 to five dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 25 = -a, -a + 4*y = -2*a - 20 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49\/147)\/((-8)\/(-6))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -26. Let b(v) = v - v + f*v. Let x(q) = q**2 + 16*q - 3*q**2 - 16*q. Calculate b(x(s)).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2 - 4. Suppose -28 + 7 = -k*t. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-42)\/(-105))\/((-42)\/35). What is the second smallest value in -3, d, 122?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -864 - -868. Let j be ((-6)\/(-8))\/(252\/56). Which is the closest to v? (a) j (b) -4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 488, 788, 1088, 1388, 1688, 1988?\n\"Answer: 300*l + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3096 by 69.\nAnswer: 1032\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -6\/89, 0.1, -2, -4, 11?\nAnswer: -6\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26)\/4 - 2\/4. Suppose -448*k = -451*k - 9. Is i at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**3 - 3 - 2726*f + 24*f**2 + 10*f**2 - 5*f**4 + 2723*f in the form l*f + d + v*f**3 + j*f**4 + m*f**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1651?\nAnswer: 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/4, -2\/21, -15?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0) + 3 + -2 + 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f**2 - 33*f - 20. Let h be i(8). Let w = h - -280. Does 21 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -11*x**2 + 597*x - 83. Calculate s(54).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w + 4. Let t be h(2). Let o be ((-8)\/12)\/(2\/t). Suppose o*m - 3*k = -2*k + 15, -m + 3*k - 5 = 0. Solve -2*c - 4*q = -22, -2*c - 3*c + m = q for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 - 112890783202.\nAnswer: -112890783196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -35, 5 in decreasing order.\nAnswer: 5, 3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -4 + (13 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -f**5\/20 - 5*f**4\/12 + 5*f**3\/6 + 3*f**2\/2 + 20*f. Determine o(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19527 is divided by 291.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50*m**2 + 32*m**2 + 30*m**2)*(4*m**2 - 9*m**2 - 9*m**2).\nAnswer: -168*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88 + 4975*h + 24231*h - 5270*h + 88.\nAnswer: 23936*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14916328171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 9 = 4*o, 0*o - o = -5*s + 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 13 + 5 = 0. Let l be 2\/(-6) - 42\/j. Let g(c) = c + 11. Determine g(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11441, 10931, 10421, 9911?\n\"Answer: -510*r + 11951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1293 is divided by 1180.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m. Suppose 18*g - 140 = 40. Let c(o) = -o - 3. Let p(q) = -4*q - 10. Let j(d) = g*c(d) - 3*p(d). Calculate l(j(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -84, -83, -70, -39, 16, 101, 222, 385?\n\"Answer: r**3 - 6*r - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 22. Let n = -1.39 - -0.7. Let m = n + 0.89. Which is the second biggest value? (a) -4 (b) m (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1016*h - 1733*h + 5780*h + 3 + 3439*h - 4.\nAnswer: 6470*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17395, -17391, -17387, -17383, -17379?\nAnswer: -17375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = p - 9. Suppose -4*b + p = -b. Which is bigger: b or 3\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, -1079, -16 in increasing order.\nAnswer: -1079, -16, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 199 + -138. List the prime factors of o.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 4\/7, -2\/4749 in decreasing order.\nAnswer: 4\/7, 0.1, -2\/4749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/5*-5)\/(-4*1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4323792.\nAnswer: 2, 3, 11, 19, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22610645 to the nearest integer?\nAnswer: 4755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1059534 a multiple of 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 10 - 8. Let g(y) = 16*y - 1. Let m(h) = 32*h - 2. Let r(p) = 11*g(p) - 6*m(p). Is 16 a factor of r(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 6*h**2 - 11*h + 7. Let p be z(7). Let x = 49 + p. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + 72, s - 2423 + 2491 = -3*j for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15785\/3 + 5262. What is the closest to -2\/23 in f, -2, 22?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/13, -2\/17, -2, 1\/47, -57?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 642 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -1275890.\nAnswer: 3\/637945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 = 3*z + 41. Let l = z + -74. Let i be (-6)\/(-15)*(-3 - l). What is the greatest common divisor of 108 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 633598 is divided by 3772?\nAnswer: 3674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyp when three letters picked without replacement from dyzzbpyappzpbzdzzza.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-730)\/(-5 - -10) + 2. Calculate the remainder when 379 is divided by v\/180 + (-194)\/(-5).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -129*h**2\/2 + 5777. Let g(w) = 2*w - 4*w + w. What is g(d(q))?\nAnswer: 129*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8364480 + 9?\nAnswer: -8364473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 490 = 11*h. Let c(u) = u**3 - u**2 - 4*u - 2. Let n be c(4). Suppose -4*b + h = n. What is the remainder when b is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 7. Let o = -30279 + 30280.3. What is the smallest value in 1\/2, o, m, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14799*l*z**2 + 40*l*z + 2*l + 3*z**2 - 844*z wrt z?\nAnswer: 29598*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*h = 83*h + 3497. Solve -257 = 4*j - h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 2\/1775 (c) 504\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2266763?\nAnswer: 17, 47, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1383, 3895, 22499, 61095, 126349, 224927, 363495, 548719?\nAnswer: 787265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1084*q**2 - 301 + 301.\nAnswer: -1084*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 1399*p + 18048. Determine i(-13).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2002 - -11981\/6. Find the common denominator of (-6)\/57 - -2*3656\/152 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 14*t**2 + 3*t - 18. Let n(f) = 41*f**2 + 8*f - 53. Let p(g) = 3*n(g) - 8*x(g). Differentiate p(q) wrt q.\nAnswer: 22*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 2, p: 2, v: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5 + 7*h + 4 + 0*h - 1. Let c(t) = 23*t + 7 - 13*t - 4*t. Calculate 5*c(q) - 4*y(q).\nAnswer: 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*j*o**5 - 47*j*o**3 - 21*j - 2*o**5 + 648*o**2 wrt o?\nAnswer: -180*j*o**2 - 282*j - 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.534513 litres?\nAnswer: 534.513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 2*f - 140 = -3*m, -4*m = 2*f + 110. What is the units digit of (-6 + 1)\/((-58)\/m - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/30)\/((-2)\/(-36)). Let j(c) = -c**3 + c. Let q(t) = 2*t**3 - t. Calculate s*q(f) + 10*j(f).\nAnswer: 2*f**3 + 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/(-9) + 12 - (1 + -2). Suppose 15*r - 156 = -p*r. Solve 3*b + 4*q - r = q, -7 = -3*b - 4*q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1597.93 - 1598. Sort v, 0.095, -1.\nAnswer: -1, v, 0.095","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.1 times -4905?\nAnswer: 427225.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 397 + 17 = 0. What are the prime factors of z?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 - 6 - 1687)*(3*j**3 - 3*j**2 + 3*j**2) to b*j + w + d*j**3 + z*j**2 and give d.\nAnswer: -5112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.568 take away 29324.844?\nAnswer: -29323.276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**5 + 11*h**4 - 13*h**3 - 43*h**2 - 28*h - 4 = 0 for h.\nAnswer: -2, -1, -1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 48103 (b) -44 (c) 0 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 656*o**4 - 309*o**4 + 78*o + 2*o**3 - o**2 - 349*o**4 - o**3 - 2 to h*o**3 + d*o + m + f*o**2 + w*o**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42406, 169481, 381222, 677629, 1058702, 1524441, 2074846?\nAnswer: 2709917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**4\/3 + 5*d**2 - 4*d - 7. Let f be z(0). Suppose -f*k - 3123 = 1117. What is k rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7813.107 millennia?\nAnswer: 781310.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*b = 91*b. Let x(u) be the second derivative of -1\/2*u**4 - 3\/20*u**5 + 1\/2*u**3 + b + 3*u**2 + 2*u. Factor x(j).\nAnswer: -3*(j - 1)*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30*((-21)\/(-6) - 3). Suppose 3*d = a, m + 2*d + 0*d - 11 = 0. What is the smallest common multiple of (m - 42\/9)*-3 and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w - 2. Let a be d(0). Let f be (9 + -7)\/((-24)\/(-84)). Sort a, f, 3.\nAnswer: a, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 168*d**3 + 2373*d + 9. Let j(s) = 673*s**3 + 9490*s + 33. Let w(t) = -3*j(t) + 11*r(t). What is the second derivative of w(u) wrt u?\nAnswer: -1026*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebaaejjbebe. What is prob of picking 2 j?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one twentieth of a minute?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/16))\/(o*o**(-3\/16)*o) assuming o is positive.\nAnswer: o**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.4 (b) -135 (c) 4\/3 (d) 2\/3 (e) -3 (f) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 0*h**2 - h + h**2 + 0*h**2 + h**2. Let s be j(-1). Suppose -3*l - 2*z - 4 = -3*z, s*z + 27 = -4*l. Is -6 at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 0*v**2 - 2*v + 0*v - v**3 - 3*v**2 - 4. What is the units digit of m(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, -3\/8, 0.05?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -15*j - 246 + 89 + 22 + 61. What is d(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(-a + 0 + 0) - 2*a + 0 + 0 + 31*a - 72*a - 62*a + (a + 1 - 1)*(1 - 1 + 1) + (2*a + 0*a - a)*(6 - 7 + 5).\nAnswer: -99*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -5519.295316.\nAnswer: 5517.295316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -675504*s - 2031518.\nAnswer: -675504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*w + 2*w. Suppose -11 = -2*k - w. Let h be (-1)\/k - (-33)\/2. Solve 4*t = -5*i - h, -4*t + 2*t + 5*i = 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7807 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-748)\/16)\/(-17))\/((-3)\/(-36)). Let t = -4 + 8. Differentiate 36*j**t + 5 - z*j**4 - 20*j**4 wrt j.\nAnswer: -68*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 0.1408.\nAnswer: -0.6408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/((v*v\/((v**(-2)*v)\/v))\/v))\/v)\/v*v)**(-1\/65)\/(v**(2\/3)\/v**(1\/2)) assuming v is positive.\nAnswer: v**(-53\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*g**5 + 5 + 3*g**2 - 11 + 6 wrt g?\nAnswer: -240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/9)\/((-2)\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -115*p**3 + 1 + 282*p**3 - 165*p**3 - 9*p to the form r*p + c*p**2 + a + z*p**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 + 106*x + 1371. Give l(-24).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5 - 8 = 0. Suppose 3*x = 7*x. Suppose 5*v + x*v - 35 = 0. Calculate the remainder when d is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -138351 (b) 4 (c) 0.5 (d) -118\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(1300\/5))\/((3\/30)\/(-1))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or -17360864?\nAnswer: -17360864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c - 54 - 7*c + 17*c.\nAnswer: 6*c - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, z: 2, u: 4, y: 1, q: 3}. Give prob of picking 1 z and 3 e.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 31*o. Let x(s) = -753*s + 6. Give -18*m(a) - x(a).\nAnswer: 195*a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -261373\/12 - -21810. Let f = 29 - r. What is the third smallest value in 0, 3, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*w**3 - 2441*w**3 + 2644270*w**2 - 2644270*w**2.\nAnswer: -2558*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1208728 + -221197904\/183. Let t = -3\/61 - p. Is t > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1608\/5 + 322. Which is the closest to 2\/7? (a) 21 (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -587960*h**2*n - h**2 - 10459*h - 72*n wrt h.\nAnswer: -1175920*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 134466 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2784 - -1?\nAnswer: -2783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -187, -427, -763, -1195?\nAnswer: -1723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4 + sqrt(500)*1 - sqrt(720)*2*-1)**2.\nAnswer: -272*sqrt(5) + 5801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, g: 8, x: 3, o: 6}. What is prob of picking 1 y and 1 g?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 9:34 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 8*b - 3. Let x be f(-9). Let v(g) = g**3 - 6*g**2 + 4*g + 1. Let w be v(x). Let h = 30 - w. Solve 5*n - 15 = -h for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00252727032 rounded to four dps?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3577 + -3563. Solve -13*a + l*a - 1 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153778?\nAnswer: 2, 23, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-28)\/(3276\/(-3783))*(-2 - 10\/(-8)) and (2\/232)\/((-2)\/94).\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of 0*c + 0 - 1\/270*c**5 - 9*c**2 + 0*c**3 + 0*c**4. Suppose u(i) = 0. What is i?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 3*t**4\/4 + 9*t**3 + 39*t**2 + 72*t - 326. Factor c(o).\nAnswer: 3*(o + 2)*(o + 3)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -795?\nAnswer: -795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2704)\/(-144) - 19 - (-10804)\/18. What is the greatest common factor of 975 and m?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1915?\nAnswer: 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -0.7642 (c) 1732 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 54353140111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1120002 - -12?\nAnswer: 1120021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 582975?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zoozssvsoovoozo. Give prob of sequence sso.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2768472785 plus 74?\nAnswer: -2768472711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-3*(-4)\/(-6)). Suppose 0 = h - 0*h - 4*n - 26, -4*n - 16 = r. Let j be (-2)\/3 + (-302)\/(-3). Calculate the greatest common factor of j and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7286, 4, 0 in decreasing order.\nAnswer: 7286, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.3 - -44.3. Let m = -37 + z. What is the nearest to 4 in 1\/5, m, -2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/8 and 23\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 5*z = -2*z - 0*z + 4*z + 264, 4*u - 43*z = 352 for u.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/13 + (-2255)\/(-715). Suppose -j - 28460 = -3*j - x*k, -5*j + 5*k + 71125 = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (27\/(-288))\/(17\/(30804\/(-7560))) and -121\/168.\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3\/4, 2.3 in decreasing order.\nAnswer: 2.3, 3\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-6)*h**(-1\/3)*h*h**(-1)*h**(-1\/2) assuming h is positive.\nAnswer: h**(-41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*o**2 + 6*o + 3*o**4 - 18*o**2 - 8*o + 62*o**2 - 2*o**3 + 3 - 22*o**2 in the form t*o + b*o**4 + c*o**3 + x*o**2 + m and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -25. Suppose -p - v = -4. Is 6 a factor of 74\/2 + (-3 - p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-12)*103\/(36050\/8190).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2071.\nAnswer: 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/60 - (-94)\/(-1128).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 8*l - 3*c + 5 = 0, -2*l + c = -0 + 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 2, -50\/261, -1, 1189?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 300 and -68.8?\nAnswer: -20640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48169, 96367, 144565, 192763, 240961, 289159?\nAnswer: 337357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-25)*-20)\/(4\/(-15)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20173 = 31*p + 19801 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 7*y**2 - 8*y - 5. What is j(-5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 199, 3, 2, -2 in descending order.\nAnswer: 199, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 48368 + -15?\nAnswer: 48353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10, c: 1, u: 7}. What is prob of picking 1 u and 2 j?\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -249b995 - 1?\nAnswer: -249b996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h**2 - h + 3559. Let v = 59 - 59. Let p be r(v). Suppose -2*o + p = -u, 2*o = -8*u + 3*u + 3577. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6843*i - 1851*i + 813*i.\nAnswer: 5805*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-370)\/(-4) + (-10)\/((-180)\/(-27))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 6*b**2 + 3. Let q be k(-6). Suppose -s + 2*u = -12, 9 = q*s + u + 2*u. Sort 3, s, 1 in descending order.\nAnswer: s, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a year in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -2*o**5\/5 + 9*o**4 - 22*o**3 + 16*o**2 + 36. Suppose y(n) = 0. Calculate n.\nAnswer: 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12122102 (base 3) to base 8.\nAnswer: -10023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 158*f**2 + 2. Let k be i(1). What is the highest common divisor of 24 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 59*i + 96. What is o(-16)?\nAnswer: -592","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 677802 divided by -1\nAnswer: -677802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00559425355 to five dps.\nAnswer: -0.00559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -44343 (base 5) to base 7\nAnswer: -12014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -20461?\nAnswer: 20460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) 15 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, c: 5, h: 6, j: 1}. What is prob of sequence hh?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275547742?\nAnswer: 2, 53, 2599507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 224 and 192\/5*(-125)\/(-50).\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 84525.07 grams?\nAnswer: 84525070000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - z = -5*r - 20, -2*z + 4*r + 22 = 0. Let d(a) = a + 2. Let b be d(-1). Solve z*l + 30 = 5*f, -2*f - 3*l - 9 = -b for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 1)*(-2*x + 3*x - 4*x)*(-6 + 1 + 3) to o + q*x and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2\/5 - 268*u + 44890 = 0. What is u?\nAnswer: 335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a = -98, g + 168221*a + 42 = 168224*a for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 3*p - 103 + 855 + 91 = -5*w, 10 = -5*p for w.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 6*p**2 - 58*p - 20. What is u(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -67459 divided by -2\nAnswer: 67459\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = c + 1. Suppose 15 = -2*r + 3*r - 4*m, -3*r - 4*m - c = 0. Sort 1, r, -2 in decreasing order.\nAnswer: r, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-8) + (-686)\/(-16). Suppose -w*v - 96 = -46*v. What is the greatest common divisor of 512 and v?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 124 - 129.9. Let t = j + 6. Let p = 78\/371 - -4\/53. Which is the closest to t? (a) 0.3 (b) p (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2331904 = -5*w + 32*w + 37*w. What is the thousands digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 297473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 4:19 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -2.5. Let d be (5\/(-170))\/((-2)\/8). What is the biggest value in x, d, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*(sqrt(231) + (sqrt(231) - sqrt(231)*1)) + sqrt(231))\/sqrt(7))\/(sqrt(12) + sqrt(132)\/sqrt(99)))**2.\nAnswer: 2475\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(4\/11))\/h*h\/(h**(1\/8)*h*h)*h*h)\/((h*h**(-2\/19))\/h)**(-36) assuming h is positive.\nAnswer: h**(-5481\/1672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 9, l: 3}. Give prob of sequence sss.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -295 - 0. Let o = 327 + b. Is o greater than 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**2 - i**4 + 0*i**2 + (2 - 2 - 2)*(-5*i**2 + 5*i**2 + 2*i**4) + 3249*i**4 - 2*i - 6*i - 3237*i**4.\nAnswer: 7*i**4 - 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2703*g = -2628*g - 1425 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -13. Let g(n) = n**2 - 23*n + 13. Let q(m) = -4*m**2 + 68*m - 40. Let o(v) = k*q(v) - 8*g(v). Suppose o(d) = 0. What is d?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 47*c**2 - 43*c + 172. Determine i(-46).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4178 times -0.1\nAnswer: -417.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39173833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = n - 8, -5*n = -5*t - 19 - 6. Suppose n = -3*b - 0. Let x = b + 5. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -155 + 151. Sort 1, 6, f.\nAnswer: f, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1050\/(-39900))\/((16\/(-48))\/((-10)\/(-3))).\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l**2 - 4 + 2 + 4*l**2)*(33*l + 47*l - 105*l) in the form u*l + m + n*l**2 + r*l**3 and give u.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.4 + -6. Let y be (-15)\/30*(-1 + 3). Which is the smallest value? (a) t (b) y (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30 - -18)*2\/(-4). Solve -3*y - 3 = 4*w, -y - 2*w = -j*w - 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -0*w - 2. Let i = 10 - 6. Let p = w + i. Let n(d) = d**2 + d - 2. Calculate n(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -11147628?\nAnswer: -5\/11147628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/90)\/((-6)\/60)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1531 + 2?\nAnswer: -1525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 150 - 33. What is the greatest common divisor of i and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81, 94, -11.\nAnswer: -11, 81, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1164, -6674, -12176, -17670?\nAnswer: -23156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.9 - 0.1. Let v = 28 + -82\/3. What is the nearest to 0 in 3, v, q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(7) - sqrt(56)\/(sqrt(8)*2)).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -25.1. Let n = 0.1 + y. Let u = 2.0032 + n. What is u rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53 - 57. Let g be m\/(-2) - ((-12 - -4) + 5). Find the first derivative of -19 + y**2 + 3 + g*y**2 wrt y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5079 + 5807. What is the least common multiple of 28 and f?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 700?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.08 and -238?\nAnswer: -19.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.1, 66.\nAnswer: -1, -0.1, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 235, 821, 1783, 3109, 4787, 6805, 9151, 11813?\n\"Answer: -2*a**3 + 200*a**2 + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + y. Let k be j(-1). Suppose k = -5*w + h - 24998, 0 = 6*w - 3*w + h + 15002. What is w rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 23. Suppose r*w - 10 = -3*w. Solve -w*u + 18 = 5*v, 5*u - 3*v = -v + 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 313*l - 3402 + 3402 to i + m*l and give m.\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*g*h - 7*g*o**3 + 9*h*o**3 - 26*o**3 wrt g.\nAnswer: 10*h - 7*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 88, 142, 232, 370, 568, 838?\nAnswer: 1192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -3\/4 (c) -4 (d) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -7*u**2 + 2*u - 2. Let i(p) = 3*p**2 - 2*p + 3 + 4*p**2 + p**2. Let v be 15\/(-2)*(-382)\/(-573). What is v*l(s) - 4*i(s)?\nAnswer: 3*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hgyy when four letters picked without replacement from {g: 1, h: 1, k: 1, y: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**6\/720 + z**5\/12 - 17*z**4\/12 - z**3\/3 - 27*z**2. Let f(p) be the second derivative of l(p). Calculate f(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148072272.\nAnswer: 2, 3, 3084839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203 + 51*g**2 + 3167 + 1214.\nAnswer: 51*g**2 + 4178","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 688986.\nAnswer: -2\/344493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -12*i**2\/7 + 389708*i\/7 - 148448 = 0.\nAnswer: 8\/3, 32473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/10 - (-2)\/(-4). Let b = 0.049 + -0.049. What is the biggest value in i, b, -0.04?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 10:05 AM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-150)*-9)\/((-9)\/(-30)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -4*t + 597 + 509, 0 = 3*l - 2*t - 1699. Does 29 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -479*((-168)\/(-14) - 14) is divided by 473?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 3, 9, 1 in descending order.\nAnswer: 9, 4, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8192 and 17224192?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 9*b**2 + 2. Let a be r(9). Suppose 2*d - 3*q = 2, a*d - 3*d - 4 = q. Let l(j) = -211*j - 3. Is l(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 7. Suppose 7*p = 4*p - 12, 2*p + 4 = -s. Let a(d) = 2*d - 3. Let m be a(s). What is f(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f + 16*f = -3. Let b be ((-1)\/f + 1)\/(2\/15). Solve 0*x + x = b for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - ((8 - 6) + -7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24 - -10?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(5\/3)*o**(2\/29)\/o)\/(o**(-1)\/o**(-2))*((o\/o**(2\/9)*o)**(-16))**33 assuming o is positive.\nAnswer: o**(-27229\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in eleven tenths of a millisecond?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 q, and 1 s when three letters picked without replacement from {z: 1, q: 2, x: 2, s: 10, i: 2, w: 1}?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 8 - (89 + -74)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-645170)\/(-4)*470\/1175?\nAnswer: 149, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4.47113 millimeters?\nAnswer: 0.00000447113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1085465.7 milliseconds to hours.\nAnswer: 0.30151825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 60690 divided by 6?\nAnswer: 10115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 10*w**2 + 11*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - 2*t + 36. Let i = t + -46. Let g be i\/(-8)*(-3)\/14. Which is the third biggest value? (a) g (b) -1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3066 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 6*v - 3. Let x be q(6). Let z be ((-4)\/(-6))\/(4\/(-30)). Sort 1, x, z in increasing order.\nAnswer: z, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + -6 + (-70 - -82).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**2*l*l**(-5)*l*l*l\/(l\/l**(-5))*l*l*l**(-3)*l**6\/l*l**4*(l**1)**(2\/9) assuming l is positive.\nAnswer: l**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380*y - 386*y = 72 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*z = 225*z - 138 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*t + 12 - 152 = 0, -4*u = -3*t - 315. Let f = -59 + u. Solve 3*z + 4*n = 2*n + 8, -4*n + f = -2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -698586 divided by 14?\nAnswer: -49899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 159 divided by 219\nAnswer: 53\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l. Suppose 0*z - 4*z = -4. Let b(i) = -5 + 8*i**2 - 7 - 11 + 6*i + 22. Let v(u) = z*b(u) + 6*y(u). What is the first derivative of v(f) wrt f?\nAnswer: 16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2*(x\/((x*x**(-5\/6))\/x))\/x*x*(x\/(((x\/x**(1\/4))\/x)\/x))\/(x\/(x*x\/(x**(-2\/21)\/x*x))*x*x))**(-6\/7) assuming x is positive.\nAnswer: x**(-435\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 9*r + 8*r + 12 = 0, 2*r = 3*m + 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 292 = 8*l. Let y = l + -13. What is the least common multiple of 16 and y?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3188 and -4.\nAnswer: -4.3188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2842 and 23809.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130 divided by -5138.\nAnswer: -65\/2569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -3\/5, -0.3, 0.5, -1 in decreasing order.\nAnswer: 0.5, -0.3, -3\/5, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/27320 and -57\/139058800.\nAnswer: 139058800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*(sqrt(448) - (1*sqrt(448) + -1))**2 - -1*(2*sqrt(448) + -3)*-3.\nAnswer: -48*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 11, -21, -51?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -2*f**5\/15 + 2*f**4\/3 + 4*f**3\/9 - 4*f**2 - 6*f - 4. Find a such that u(a) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 63*c**2 - 5 - 2 + 2 to the form b*c + q*c**2 + t and give q.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**2*u)\/u)**28)**(-33) assuming u is positive.\nAnswer: u**924","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -75*3\/12*-1*20\/(-100).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 10 + 6. Suppose 0 = 13*r - 5*r + f. Let o be -1 + (1 - 0) - r. Solve -2 - 2 = o*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -2\/11 (c) 46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1975964, 3951926, 5927888?\n\"Answer: 1975962*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*z - 44118, -3*a = -2*z + 18767 + 10643. What is the ten thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-4))\/(1\/(-2)). Let s(x) = -2*x**3 - 2*x**2 + 1. Let g be s(p). Let z = 8 - 11. Sort z, g, 4 in descending order.\nAnswer: 4, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/14*6\/5. Let s = 33 + -33.094. Let v = -0.106 + s. Sort l, v, -3\/5 in ascending order.\nAnswer: -3\/5, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 9*d**2 + 11*d - 2. Let l be i(10). List the prime factors of -15*(0 + l\/(-12)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 485.4119094 to zero dps.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-444)\/18 + 2\/3. Let a = -38 - h. Let p = a + 17. Solve -p*k + 2*k = -3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225486266?\nAnswer: 2, 17, 83, 79903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -16. Let w(x) = 3*x**2 - x. Let j be w(1). Suppose 5*k - 42 = j*k. Calculate the remainder when k is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - (23 + 23)) + 37?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3171 = 4*r + 3146. Let i be (-2)\/4*(5 + -5). Suppose 0 = -i*m - 2*m - 2. What is the closest to -1 in m, -0.1, r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/6 - (-175)\/42. Let i(f) = -f + 3. Let c(j) = 2. Determine u*i(b) - 6*c(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**6\/6 - 13*m**5\/4 + 20*m**4 - 30*m**3 - 17*m. Find c such that t(c) = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187746179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*m**4 - 2*m**3 - 399*m**2 - 10445*m wrt m?\nAnswer: -144*m**2 - 12*m - 798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 128 = 4*j - f, -4*f = -j + 32. Suppose w = 2*c + j, 0 = -2*w - c - 4*c + 64. Let t = w + -13. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7636, 7639, 7642, 7645, 7648, 7651?\n\"Answer: 3*z + 7633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(99)\/sqrt(9) + (2 + sqrt(99))**2.\nAnswer: 13*sqrt(11) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22.4 + 22. What is the smallest value in 9, 5\/2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1051.625cm?\nAnswer: 10516.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -180, -271, -362, -453?\nAnswer: -544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 16 = 2*l + 6, -4*m + 8 = -l. Let w = -3 + 6. Suppose 0 = -4*a - 5*o + 11, -m*o + 21 = 5*a + w. Which is bigger: a or 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w**2 - 7*w**2 - 2 + 14*w**2 in the form s*w + t*w**2 + j and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 p when two letters picked without replacement from apana?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z. Let q = 6 + -2. Let u(p) = q*p + 0*p - 6*p. Calculate d(u(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 7:03 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9406.652 millilitres to litres.\nAnswer: 9.406652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 4.4?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v + 32*v**2 - 5*v - 34*v**2. Let o(t) = -455*t**2. Give f(o(r)).\nAnswer: -414050*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1096, 1097, 1098?\n\"Answer: k + 1095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148531*r - 12716 = -148905*r for r.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -329 by -7.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 6*p**2 + 1030*p - 3027. Give u(-168).\nAnswer: -6723","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 92*n**2 + 193*n + 95. Let w be t(90). Calculate the highest common divisor of w and 275.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 62*l**2 + 174*l + 212. What is the smallest common multiple of s(59) and 795?\nAnswer: 5565","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m**3 - m**2 - m - 2. Let o be u(2). Suppose 4*f - 6 - 6 = 0. Suppose -b = f*b - 192. Calculate the highest common factor of o and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 582688591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 84.591 and -1.\nAnswer: -84.591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 5460558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1327.\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 3269406?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -94637.77 rounded to the nearest one thousand?\nAnswer: -95000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -1. Let z = s + 4.5. What is the closest to 1 in -3, z, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + (0 - (1 + 0)) + -2. Suppose -4 - m = -7*o. Let w = -0.13 - -4.13. What is the second biggest value in -4, w, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23171 + 23171.4. Sort 40, -2, l, -4, 3 in decreasing order.\nAnswer: 40, 3, l, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26.08 + 22.4. Let s = -11 - v. Let z = s + 0.02. Round z to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4514261 or 4514264?\nAnswer: 4514264","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (-138)\/8 + (-3)\/4. Let b be (-33)\/(-2) - r\/12. Does 4 divide ((-30)\/9)\/(-5)*b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/10 and -43\/26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1 + sqrt(245)*1 + -2 + -4*2*sqrt(245)*-1)**2*6.\nAnswer: -4536*sqrt(5) + 119286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25 and 87.\nAnswer: 2175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -10, 23, 0.49, -1, -47, 8?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 4*q**2 + 17*q. Let o = 38 - 45. Calculate the remainder when 110 is divided by f(o).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3785 is divided by 1536.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**2 - 2*i**3 + 2*i**3 - i - 2*i**3 + 2*i**4 to r*i**2 + u*i**3 + q*i**4 + k*i + w and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -18*n**3 - 118*n**2 + 29*n + 299. Calculate o(-7).\nAnswer: 488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 3*t - 4, -6*q + 24 = -2*q + 2*t. Let y(x) = x**2 - 3*x + 3. Let w be y(q). Let j = w - -2. Solve -o - 2*o - j = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10965013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1030\/(-927) + 9\/((-108)\/(-8))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 8*x**2 + x - 8. Let i be o(-8). Which is bigger: i or -17?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from alllelallele?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in sixty-seven fifths of a century?\nAnswer: 134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2853453 is divided by 104.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/129)\/l**(-2)*l**(-1\/34)\/l*l**19\/l*l)**50 assuming l is positive.\nAnswer: l**(2188075\/2193)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49393 and 487.\nAnswer: 24054391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddd. Give prob of picking 3 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(3\/(-153)*-17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 2 - t - 7 - 4 in the form m + n*t and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, w: 1, a: 2, s: 1}. Give prob of picking 2 a.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 161507 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*n + 15324 = -58*n. Suppose 2*l = 4*l - n. List the prime factors of l.\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240 divided by -48.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - k = 0. Suppose -3*v + 80 = 2*i, 3*v - 6*i + i - 115 = 0. Suppose 3*l = -n - 1 + 2, 4*n - 5*l + v = 0. Put -2, n, k in increasing order.\nAnswer: n, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55 by -12.\nAnswer: -55\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -x**2 + 1. Let m(r) = -15*r - 72. Let p(b) = -5*b - 27. Let y(a) = -3*m(a) + 8*p(a). What is k(y(j))?\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/25495 + 453819\/101980. Let p = -1\/4537 + -412861\/27222. What is the common denominator of r and p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 19*r - 253. Calculate n(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -42, -17 in ascending order.\nAnswer: -42, -17, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(11\/4)\/(f*f**(-9)))**3\/((f**(3\/5))**(-6))**(-1\/13) assuming f is positive.\nAnswer: f**(8313\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -16*t - 5. Give c(3).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.7 and 10265.\nAnswer: 10265.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x**4 - 5*x**3 - x**2 + 47*x. Let h(d) = 4*d**4 - 4*d**3 - d**2 + 46*d. Let n(t) = -2*h(t) + 3*l(t). Find the third derivative of n(k) wrt k.\nAnswer: 96*k - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 789?\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -702, -2907, -6628, -11877, -18666?\nAnswer: -27007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 6*h - 8. Let w(j) = 7*j - 1. Let n be w(1). Let c be p(n). Let u = c + 18. What is the least common multiple of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 76971*g - 78. What is v(0)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -297\/5 (b) -4 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 575061742 to the power of 1\/2, to the nearest integer?\nAnswer: 23980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 x when two letters picked without replacement from nznxrrrnnn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 121, 440, 1345, 3148, 6161?\n\"Answer: 52*c**3 - 19*c**2 + 12*c + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = f - 19, -1240*f - 5*r = -1244*f + 10. Does 631 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76951?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -72 - -165 - 113 - (-17)\/2?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mzzzbmzbbzb. What is prob of picking 1 z and 2 m?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5*u = 235, -5*k + 3*u - 267 = -0*k. Let y(w) = w**2 + 2*w + 7. What is the remainder when y(-6) is divided by (k\/12)\/((-2)\/8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34391538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4635367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 8 = 5*t + 13, -4*j = -t + 14. Solve i = -t*i + 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -83 + 117. Let a be (-45)\/(-2) - 1\/(-2). Let l = x - a. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 3\/5, 74, -72, 1\/6 in increasing order.\nAnswer: -72, 1\/6, 0.2, 3\/5, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 + 84 - (9 + 1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2810 is divided by 314?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28024857 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**8\/s)*s*s\/(s\/(s\/(s**(1\/2)\/s)))*s)**13*((s\/s**(-13))\/s*s*s*s*s**(2\/3)*s)**(2\/35) assuming s is positive.\nAnswer: s**(-6613\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 12 - 12 - 10*q**2.\nAnswer: -10*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1043970750.92 and 3.\nAnswer: -1043970747.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -20, -5\/2, 4\/23, 2?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 23a4?\nAnswer: 23a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 871824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34074489 a multiple of 850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 15\/((-105)\/28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 0*z**2 - 10*z + 1\/360*z**6 - 1\/3*z**3 + 1\/8*z**4 + 0 - 1\/30*z**5. Let r(l) be the second derivative of j(l). Factor r(k).\nAnswer: (k - 3)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -130 + 80. Let p = j + 86. Calculate the remainder when p is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -494 + 494. Sort x, 1, -0.5 in decreasing order.\nAnswer: 1, x, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*z - 43*z = 63*z + 275 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37570?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - v + 1. Let u(s) = 3*s**3 - 2*s**2. Let q(a) = -u(a) + 2*z(a). Let d be 1*(0 - -3) + 2 + 0. Let l(r) = 6*r**3 + 5*r - 5. Give d*q(j) + 2*l(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000010271 rounded to seven decimal places?\nAnswer: -0.0000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 2*o**5\/45 - o**4\/9 - 2*o**3\/27 + 2*o**2\/9 + 206. Find j, given that y(j) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eleven tenths of a meter?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9, 85, 215, 399, 637, 929, 1275?\n\"Answer: 27*q**2 - 5*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**8\/w**(-21\/4))**(-2))**48 assuming w is positive.\nAnswer: w**(-1272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 2*t**2 - 3*t + 5. Let h be d(2). Suppose -12*k = -7*k + 25. Sort 3, k, -4, h.\nAnswer: k, -4, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525 is divided by 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2718, 2885, 3154, 3525, 3998, 4573, 5250?\n\"Answer: 51*p**2 + 14*p + 2653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 343666 divided by 1437.\nAnswer: 343666\/1437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n + 209 + 253 = -5*n. Suppose d - 4*v + 4 = -d, 8 = 4*d - 4*v. What is the greatest common divisor of d and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7952061000 to the nearest one million.\nAnswer: -7952000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z - 2*z - 2*z)*(-z + 4*z + 0*z)*(-3*z + 1 - 1) to j*z**3 + l*z**2 + r*z + k and give j.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3647.599 - 3649. Is -1 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, k: 4, m: 7, a: 1}. What is prob of sequence kmm?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 390, 915, 1408, 1869, 2298, 2695, 3060?\nAnswer: 3393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-34*y**4 - 2 + 70*y**4 + 7*y**3 - 34*y**4)*(-2 + 2 + 2) to t + l*y**2 + v*y**4 + w*y**3 + c*y and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 25\/17, 1\/2, -68, 0.2?\nAnswer: 25\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -17, -48, -91?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 15051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6622 a factor of 644585480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1081\/848 - 21\/16. Which is the closest to 0.1? (a) z (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.59 and -2617.\nAnswer: 6778.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -317006156*f**2 + 58022123*f wrt f.\nAnswer: -634012312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1)*(-54)\/324\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*n + 4*n. Let r(a) = -644*a - 3. Is r(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 9179850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 22*u - 241. Calculate k(-30).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2120)\/742)\/(9310\/(-343)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -2, -670 in descending order.\nAnswer: 2, -2, -3, -670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 at most -25777901?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k - 5*k + k)*(3*k**2 + 3*k**2 + 0*k**2) - 10*k**3 + 141*k**2 - 141*k**2 to d*k**2 + f + p*k**3 + s*k and give p.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 plus 17986859823.93?\nAnswer: 17986859723.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4077208.37 rounded to the nearest 1000?\nAnswer: -4077000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 2:57 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**4\/90 - 7*m**3\/45 + 19*m. Factor a(v).\nAnswer: -2*v*(v + 7)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d. Let y(t) = 30*t**2. Determine y(m(u)).\nAnswer: 750*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34583*y - 7214 - 2874 = 34389*y for y.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15435844 and 410?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 10*x**2 + 8. Let l be u(10). Let d be l\/(-3)*(-3)\/2. Suppose 0 = -3*o + 3*g + 63, -d*o - 3*g = g - 52. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-12) - (46945\/(-246) - -109).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -297, 44, 0 in descending order.\nAnswer: 44, 0, -35, -297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/((-100)\/(-88)))\/(-2*6\/(-30)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -7, 2, 15?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 423 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-13 + 9) - (-191 - -178)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.2 + 9.2. Let w(y) = -y**2 + 3*y - 2. Let x be w(2). Suppose x = -n + 1 - 4. Are n and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 476683 and 0.133.\nAnswer: 63398.839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 2768, -7, -6 in ascending order.\nAnswer: -29, -7, -6, 2768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - r = -33, 4*r - 75 = -4*v - r. Let g = -3 + v. Suppose 2*q + 4 = g. Let j(d) = -2*d + 1. What is j(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/5 of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8031763um in centimeters?\nAnswer: 0.00008031763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8, 3, 61, 23 in decreasing order.\nAnswer: 61, 23, 3, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 12:55 AM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3\/2, 1181 in increasing order.\nAnswer: 3\/2, 3, 1181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70) - 1*sqrt(70))*6 - sqrt(70))\/(sqrt(21)\/(sqrt(3)*-2)))\/(4*5*sqrt(6)\/sqrt(27)).\nAnswer: 3*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003066488 to five decimal places.\nAnswer: 0.00307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 1\/2 (c) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 641286987 to the power of 1\/5, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1333, 2406, 4181, 6646, 9789, 13598?\n\"Answer: -2*f**3 + 363*f**2 - 2*f + 974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110220 (base 3) to base 4.\nAnswer: 11130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8455*w + 900055 = -653*w + 235171 for w.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0. Let z = -103711\/21 + 4937. Let f = 12\/7 + z. Which is the biggest value? (a) f (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15288 - 4*a**3 - 67*a - 15288 in the form h*a**3 + j*a + p*a**2 + w and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*z + 58 = 0, -17 - 75 = -5*w + z. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**7\/21 - 1111*g**5\/20 + 11*g**3\/6 - 297*g**2\/2 - g - 140. What is the second derivative of j(s) wrt s?\nAnswer: -40*s**3 - 6666*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 739*q - 132740. Give z(-306).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -420660464 < -420660464?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8)*34)\/(37898\/(-75796)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 485 = 8*p. What are the prime factors of p?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 15*j**2 - 5*j - 8. Let i be s(-8). Suppose 2*g - 10*g = -i. What are the prime factors of g?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 482.\nAnswer: -5\/482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*q + 21 = 0, 2*f + 2*q - 1 = -9. Is ((11510\/(-4))\/f)\/((-1)\/(-2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -5892, -7, 1 in decreasing order.\nAnswer: 4, 1, -3, -7, -5892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1525ca + -c?\nAnswer: -152609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9934 is divided by 110?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -448.07 + 457. Let f = h - 9. Let u = 0.07 + f. Which is the nearest to 0.2? (a) -2 (b) -1\/4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 128470, 128456, 128442?\n\"Answer: -14*v + 128484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6167.\nAnswer: 7, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 0)\/((-33)\/(-11)). Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 6*v - 14 = 0. Let j be v + -3 + 82\/(-1). Let u = -78 - j. Solve u = 4*l - 14 - 2, -5*l + 10 = 5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21965?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1141428 is divided by 618?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 85955*v**2 - 42965*v**2 + 612*v - 42975*v**2 in the form j*v + s + x*v**2 and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8922716984?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -112200 (base 3) in base 7?\nAnswer: -1104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2939?\nAnswer: 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from yuyyyyuyyyyyyyyuy?\nAnswer: 91\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*r + 24*r + 44*r + 60*r + 41*r - 369*r + 59*r.\nAnswer: 36*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = k + 4*n - 178, 5*k + n - 888 = 0. Find the common denominator of 1 + (-1 - (-63)\/4) and 15\/10*k\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15309821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*q**3 + 102*q - 107237*q**2 + 107237*q**2.\nAnswer: -25*q**3 + 102*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 44*p**3 - p**2 + 6*p - 3. Let g(k) = -131*k**3 + 3*k**2 - 17*k + 8. What is 3*g(n) + 8*m(n)?\nAnswer: -41*n**3 + n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/12)*t\/(t\/t**12*t))**(1\/7)*t\/(t\/t**(4\/7))*t\/(t**5*t)*(t*t**(-2\/5)*t*t)\/((t\/(t**7*t))\/t*t) assuming t is positive.\nAnswer: t**(2827\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 28 (b) 24\/13 (c) 233\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -577?\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*a**3 + 12606*a**2 + 61749*a - 450036.\nAnswer: 3*(a - 4)*(a + 9)*(7*a + 4167)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/7)\/(u**(-4)\/u))\/((u\/((u\/(u**14\/u))\/u))\/u**(-5)))**(-15\/8) assuming u is positive.\nAnswer: u**(180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13388645 rounded to five dps?\nAnswer: -0.13389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - f + 17 = -4*f, 2*k - 3 = 5*f. Suppose -k*t = -43*t + 156. Let d(o) = -1 + 1 + 4 + o. Give d(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -3 (b) -0.04 (c) -20.5 (d) -0.2 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1252 - 1252.08. Sort v, -2\/3, 2 in decreasing order.\nAnswer: 2, v, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 226, 444, 662, 880, 1098?\nAnswer: 1316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 613.87226 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 74, 171, 280, 407, 558, 739, 956?\n\"Answer: c**3 + 90*c - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 2*l. Let r be -4 - -3 - 2\/2. Let t be j(r). Let b be 0 - (-2)\/4*-2. Is b at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -51 and -0.0877.\nAnswer: 4.4727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14332060?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 198370.40756 take away -0.2615?\nAnswer: 198370.66906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-198) - 4\/18. Let z = 0.1775 - 0.3775. Let i = 120 - 602\/5. Which is the third biggest value? (a) i (b) z (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*1*(-3)\/(-15)*-1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 2*p + 20, 2*o - 16 = p - 3*p. Let i(a) = 2*a**2 - 9*a - 5. Is i(o) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8832*s**3 + 12194 wrt s?\nAnswer: -26496*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18232? (a) 5 (b) 6\/7 (c) -4\/3 (d) 3 (e) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -11. Solve 3*s + 6*m = m - 15, u*s - 6 = 2*m for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 49*h**2 + 51*h - 35. Give q(50).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 4:11 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by -15.\nAnswer: -17\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.2574214 kilograms?\nAnswer: 0.0002574214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 n, and 2 w when four letters picked without replacement from wwownwowinronry.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8608819?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - 2 - -16 - (2 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 3*j**2 - 1064*j - 2123. Determine i(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 1. Let a(w) = 7*w - 4. Let x(m) = a(m) + 4*p(m). Let r(k) be the second derivative of k**4\/6 - 5*k. Determine r(x(h)).\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 340.5 rounded to the nearest 10?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 38 - 4*z - 80 + z**2 - 4*z**3 + 42 - 3*z**2 as o*z**2 + a*z**3 + c + h*z and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n**2 - 60*n - 94. Give d(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = x. Let l be 2\/(-2 - (2 - 2)). Let a be l + 1 + 2\/7. What is the closest to a in 0, 2\/3, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rse when three letters picked without replacement from {e: 4, r: 3, s: 1, p: 6}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-5)\/(-10))\/(6\/1500).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -19 (b) -7 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(2 - (-28)\/(-12)). Let q be (-8)\/(-20) + 0 + 14\/x. Which is the closest to -0.1? (a) q (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 5*d**5 + 10*d**4 - 115*d**3 + 60*d**2 + 180*d = 0.\nAnswer: -6, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9\/(-12))\/((-2)\/6))\/(3\/12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of -19 + 3 + 7 + 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**7\/(x\/(x\/(x**(3\/8)*x)))*x**(-3\/2)*x**1)\/((x**(1\/4)\/x)\/((x\/(x*x*x*x**8\/x*x*x))\/x)*(x**(-1\/4)\/x)**(-38)) assuming x is positive.\nAnswer: x**(-429\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15139618\/76 + (6\/4 - 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16754.\nAnswer: 2, 8377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -596, -0.3, 5.\nAnswer: -596, -0.3, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p - 6 = -17*p. Solve 0 = -2*f - v + p, -2*f - v - 9 = -5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -621*o**3 + 578*o**2 wrt o?\nAnswer: -3726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/8 + -1*(536\/(-32) - -4).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 33133304?\nAnswer: -33133301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79954116?\nAnswer: 2, 3, 11, 109, 5557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12176929 - 24513071 = 10*a. What is a rounded to the nearest one hundred thousand?\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 7 = -2*h, 0 = -h - 3*y - 0*y + 2. Suppose -5*c + 8 = -4*c - 4*n, -3*n = -2*c + h. Solve -2\/7*g**c + 6\/7 - 16\/7*g + 12\/7*g**2 + 0*g**3 = 0 for g.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538 is divided by 262?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-5)\/(a**(2\/7)*a*a))\/((a**(-1\/2)*a)\/a)**9)\/((a*a*a**0*a*a*a)**33)**(6\/25) assuming a is positive.\nAnswer: a**(-2967\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 plus 236436914729.52?\nAnswer: 236436914713.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 18*q + 1112. Does 10 divide v(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 2*j + 3*j + 4, -2 = s - j. Let n be 3 + 2 + s + 6. Suppose -7*l = -n*l + 10. Which is the second smallest value? (a) 3 (b) l (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1148 * 0.68\nAnswer: 0.078064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 12:45 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-239 - 68 + 3 - 19)*(6168 + 6*o + o - 6164)*(-1 + 1 + 2) in the form t + z*o and give z.\nAnswer: -4522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3665836*w**2 - 295744*w wrt w?\nAnswer: 7331672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4235 + -2?\nAnswer: 4233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*l - 3*k, -4*k + 52 - 66 = -5*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18525, 36172, 53847, 71562, 89329, 107160, 125067?\nAnswer: 143062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 2*m = -10*f + 4, -4*f - 2*m + 4 = 0. Solve 4*b - 20 = f, -2*b + 3 = 2*n - 7 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6300.416 litres?\nAnswer: 6300416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x - 419 = -563 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -169 + 197 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/11 (b) 5 (c) 0.07 (d) -368\/11 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5395 and 1001.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -83*w**2 - 86*w**2 + 186*w**2 in the form l + t*w**2 + n*w and give t.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*q - 6 = -49*q. Let a(w) be the third derivative of w**5\/60 + w**4\/24 - 13*w**3\/6 + w**2. What are the prime factors of a(q)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-1)*(-228)\/10. Suppose 5*c + 14 = w. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - -10. Let y be ((-6)\/b)\/(6\/(-42)). What is the third derivative of a**5 + 0*a**2 + 7*a**2 + 7*a**y wrt a?\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 15157*b - 15154*b + 3 + 0. Determine s(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 1 - 838*c + 1678*c - 842*c + 8 - 79*c**3 in the form z*c**3 + q + s*c + w*c**2 and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -3. Suppose -3 = 3*x + y, 0 = -6*y + y + 15. Which is bigger: m or x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 q when two letters picked without replacement from gbgsbgsbqgsggbpgbbb?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 198593.2588 less than -7.48?\nAnswer: -198600.7388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 46?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -0.376 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 111, 147, 207, 297, 423, 591?\nAnswer: 807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3a0 (base 15) to base 8\nAnswer: -1471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3 - (4 + -2 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*557471.\nAnswer: 557471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -46*t + 126. Let r(j) = 22*j - 54. Let n(w) = -6*m(w) - 13*r(w). Calculate n(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 513765 divided by 168\nAnswer: 24465\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 6\/1)*(-8)\/(-2). Let a be (-34)\/(-8) - 2\/u*-2. Find the first derivative of 5 - 129*z + 19*z**4 + 129*z - 5*z**a wrt z.\nAnswer: 56*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 3*d - 959640, -5*t = -5*d - 61268 - 1538122. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1*1)\/(-12 - (-45459)\/3789) is divided by (((-470)\/6)\/5)\/(4\/(-12)).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.16 in -1\/96, 0, -4, 3\/26?\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23377*t = 23444*t - 737 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*u**5 - 12376*u**4 + 3880*u.\nAnswer: -40*u**3 - 148512*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(-2 - 3\/(-2)). Suppose 0 = -2*x - 5*s + 6, -4*x - 2*s + 7*s + 12 = b. Find the third derivative of -x*z**3 - 2*z**3 + 6*z**3 + z**2 wrt z.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-3\/5)\/k)\/(k*k**(-5\/12)))\/((k*k*(k\/k**(18\/5))\/k*k)\/k)**50)**24 assuming k is positive.\nAnswer: k**(9338\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (-3 + -9)\/(-4) - 54. Let m = -46 - s. What is the second biggest value in 2\/9, -1\/3, m?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4d7686b - 5?\nAnswer: 4d76866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w - 21. Let s(z) = 2*z - 28. Calculate 5*q(c) - 4*s(c).\nAnswer: -3*c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 332432 (base 5) to base 9\nAnswer: 16837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10824 = -28*s + 34*s. Suppose -4*v + 2848 = -s. Is v a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 5394.\nAnswer: -1\/1798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*l + 6. Suppose -h + 2*z - 3 = 0, 0 = -h + l*h - 4*z + 4. Is (-3 - -2)*-127*h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 429 and 2885883.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**6\/(h*h**(3\/7)))\/(h*h**(-2)*h*h*h**(5\/3)))**34 assuming h is positive.\nAnswer: h**(1360\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*4\/(12\/(-15)). Suppose -4 = -4*r + u, r - 22 = -0*r - d*u. Solve 3*w + z + 17 = 0, 5*w = -z - 23 - r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/15)\/(4\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -509 - 988 = -88*c + 351 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 1. Let c = -15 - -9. Let b(l) = -6*l**3 + 10*l**2 + 6*l + 2. Let y(h) = c*i(h) + b(h). Factor y(p).\nAnswer: -2*(p - 1)*(p + 1)*(3*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + -54. Let d = -107 - r. Let q be d\/(-11) + 3\/(-1). Which is greater: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 152*u. Let s be v(-152). Let l be ((-4)\/326)\/((-1)\/2). Is l at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -27*q**2 + 857*q + 111. Determine a(32).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - 2)\/(2\/3). Let g(y) = -5*y**2 - 1. Let d be (0 - 2) + 1 + -1. Let v(t) = -4*t**2. Calculate d*g(q) + f*v(q).\nAnswer: -2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-1)\/(16\/(-40))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13310\/7 - 1477886\/777. Calculate the common denominator of v and 43\/5.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3470291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**2 + 8*x + 28. Let b(y) = -4*y**2 - 6*y - 21. Let j(o) = 4*b(o) + 3*d(o). Let a(c) = -c - 466. Determine a(j(z)).\nAnswer: 4*z**2 - 466","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(3*sqrt(72)\/sqrt(6))*3*-4 - ((sqrt(720) - (-1 + -1*sqrt(720)))**2 - -3*(0 + sqrt(80))).\nAnswer: -2881 - 64*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2559785, 5119575, 7679365, 10239155, 12798945?\nAnswer: 15358735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -7 (c) -0.09 (d) -4\/7 (e) 2281\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -25. Let q be (0 - 0)*(1 - 2). Suppose -6*m + 2*m + 48 = q. What is the remainder when f is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*h = -3, 3*w + 0*h + 2*h - 13 = 0. Let q be w*(-2)\/(-10)*3. Which is greater: 5 or q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1509\/46 or 34?\nAnswer: 1509\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q. Let x be (-2180)\/(-22) - 2\/22. Let c(h) = -25 + 37*h + 30*h + 29*h - x*h. Give c(n(l)).\nAnswer: 6*l - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0577 - -3?\nAnswer: 2.9423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (2*sqrt(343) + sqrt(343) - sqrt(343)))**2.\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -c**5\/10 - 15*c**2 + 15*c. Let r(v) = -11*v**2 + 1. Determine g(r(h)).\nAnswer: -726*h**4 + 132*h**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -3. Suppose -4*p - 4 = 2*t, -3*t - t + 42 = -k*p. What is the lowest common multiple of 3 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/2 - 6\/2. Is (-2)\/((2\/17)\/z) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3278)\/447*-3*3\/(-6)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*l + 54*l - 96 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3.2 (b) 2\/11 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26440?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (265 - 65 + 2*g**2 - g**2)*(-5*g - 3*g + 4*g).\nAnswer: -4*g**3 - 800*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 828*b**2 - 8 - 2523*b**2 + 823*b**2 + 865*b**2.\nAnswer: -7*b**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*x + 1282 = -104. Let i be 93\/x + (-4)\/(-22). Let d(a) = a**3 - 5*a**2 + 3*a. Determine d(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 338929741?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 3:50 AM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*t = -6, -3*t - 10 = -2*v - 0*t. Suppose 2*i = n, 3*n = 4*i - v*i. Are -6\/17 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/((q*q**1)\/q*q))*q**(15\/8)*q*q*(((q\/q**(-27))\/q)\/q*q*q)\/(q*q\/q**38*q) assuming q is positive.\nAnswer: q**(551\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 6. Let l be (-80)\/182 - (-140)\/490. What is the smallest value in l, s, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2 - (-3)\/2. What is the highest common divisor of k and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + z + 72 = 0. Let d = 20 - z. Suppose -a = d - 12. Solve -8 = -n + 3*n + 2*l, 0 = 5*n - 3*l + a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21974?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-6))\/(31\/((-8835)\/38)))\/2\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 11, v: 9}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 389, 756, 1101, 1424, 1725, 2004?\nAnswer: 2261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 - -0.1. Let m be (15\/(-6))\/(-5)*6. Suppose 3*d = j - 6, -j = -5*d - 7 - m. Is x less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 - 3 - (-1 - 0 - ((68 - 60) + -13))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27*-12.\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c + 19. Calculate w(10).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36180933 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336) + 1*sqrt(336) - sqrt(336))\/sqrt(8)*-3)\/((sqrt(864) - sqrt(864)*2 - sqrt(864))*-1).\nAnswer: -sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 198 or 214?\nAnswer: 198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.3 - 9. Let m = 1.46 + a. Let b = -0.2400023 - m. What is b rounded to 7 decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 x when three letters picked without replacement from {z: 2, x: 4, m: 6}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**2 + 9. Let g be v(-3). Let i(x) = x**2 + 9*x + 6. Let h be i(g). Solve -2*a + 2 = -h for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 4*t - 1. Let n be a(-6). Let d = n + 24. What is the least common multiple of 3 and d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8 + 1.8. Which is the closest to i? (a) 5 (b) 0.4 (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-30) + 1752\/360. What is the third derivative of 2*v**2 + v**2 - 14*v**r + 0*v**2 + 2*v**2 wrt v?\nAnswer: -840*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 384 and 71052720.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284 = -3*b - 5*v, b - 116 = -5*v - 28. Suppose 0 = -5*a - b + 293. What is the remainder when 76 is divided by a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0*z + 3. Let l be 5\/(-2)*6\/z. Which is the smallest value? (a) -1\/5 (b) 0.2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + (1 + -2)*2. Suppose -5*g - 2*h + 308 = 0, -3*h - h = -4*g + 252. What are the prime factors of -1 - 2\/d*g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5 - 707*o - 804*o + 4 - 139*o. Is i(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v - 4*v + 5*v)*(-3 - 1 + 2) + 90*v - 140*v - 41*v - 2 - 2*v + 2 + 2 + 10*v - 2 to the form l + o*v and give o.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -907*a**3*w**3 - 2*a**3*w**2 + 2*a**3 - 2*a**2*w**6 + 68*a**2*w**2 - 2*a**2*w wrt w.\nAnswer: -5442*a**3 - 240*a**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -0.1031\nAnswer: 0.2062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1349698 and 4292947.\nAnswer: 1021721386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 k when four letters picked without replacement from kkkkaakkakk?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 13 = -2*f - 3*f, 2*f + 2 = 4*h. Is 52 a factor of (-56 + 4)\/(h\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 6 + 3 = 0. Let z = m + 12. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = o - 38. Let p(l) = -1 + o - 2*l + 37*l - 17*l. Let i(r) = 5*r**2 + 0*r**2 - 4*r**2. Give p(i(j)).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292852 at least as big as -307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557421 is divided by 361.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 41532331?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8832 divided by 48.\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-213.17582.\nAnswer: 1065.8791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9, -109, -341, -759, -1417, -2369?\n\"Answer: -9*y**3 - 12*y**2 - y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/15, 2, 10, 4\/11?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 6. Let h(z) = z**3 - 11*z**2 + 11*z + 7. Let v be h(10). What is the highest common divisor of j and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.4718 - -1.5718. Sort 29.6, -1, o in increasing order.\nAnswer: -1, o, 29.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -553, -1108, -1663, -2218, -2773?\n\"Answer: -555*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43713\/(-16190)*(-20)\/(-14).\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -115545763*s*x - 132862722*x wrt s?\nAnswer: -115545763*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8536432ug in nanograms?\nAnswer: 853.6432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 - -18) + (-10)\/(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3532, -28019, -94452, -223807, -437060, -755187, -1199164?\nAnswer: -1789967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*r**3 - 115*r**3 + 59*r**3 + 56*r**3.\nAnswer: -13*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13943 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h - 5. Let k(w) = 15. Let i(y) = k(y) + 3*r(y). Let d(l) be the first derivative of 73*l**2\/2 - 40. What is i(d(n))?\nAnswer: 219*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6897 - -14982. Is a a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**6\/p**(-1\/3)*p**(-2\/3)*p\/(p\/p**(-3)))**(-22\/9) assuming p is positive.\nAnswer: p**(-176\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14\/20)\/((-58)\/(-5) + 0). Let k = -42176\/5 + 2448763\/290. Let m = v - k. Find the common denominator of m and -67\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2414479164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ad86 (base 14) in base 16?\nAnswer: 759a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -64424, -64492, -64606, -64766, -64972, -65224?\n\"Answer: -23*i**2 + i - 64402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 7. Let q be d(-5). Let h(z) = -2 + 5*z**2 - z**3 + 0 + 3 - 7*z**2. What is h(q)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/22)\/((-1262)\/(-13882))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/(-9))\/(-3 - -4). Which is bigger: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from deeredddddeerdmremd. What is prob of picking 1 m and 2 e?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -16. Let c be (-36)\/234 - (-67)\/13. Sort 2\/7, c, -2, q in descending order.\nAnswer: c, 2\/7, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/2552 and -67\/176?\nAnswer: 5104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 106*3*17\/6. Suppose 4*v - 1455 = s. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 1907, -15, 0.66?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2 - 2. Suppose -z = s*z. Let o(f) = -f**2 + 5*f + 5. Let g be o(6). Which is smaller: g or z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + s - 13 = 0, -12 + 4 = 3*h - 4*s. Let m be 1 + h - (-12 + 12). Suppose -m*c = 4*x - 5*x + 58, -3*x + 158 = c. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3 - 1 + b - 1. Let h be ((-3)\/(-5))\/(5\/(-350)*-7). Determine c(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*v**5 - 14167*v**4 + 183*v**2 + 2676*v - 3616?\nAnswer: -40*v**3 - 170004*v**2 + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 4:33 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65903687?\nAnswer: 41, 1607407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*x = -136*x - 206*x - 3360 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55637 is divided by 260.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 11*o - 24*o - 4*q, -2*q - 12 = -11*o + 15*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 - 28340*a + 1468272.\nAnswer: 2*(a - 14118)*(a - 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 697000 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence is when two letters picked without replacement from {d: 1, s: 2, j: 2, k: 3, i: 1, e: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -85*k**3*l**3*r - 6*k**3*l**2*r**2 - k**2*l**3*r**2 - 21*k**2*l**3 + 2*k**2*l**2*r**2 - 3*l**3 wrt k?\nAnswer: -510*l**3*r - 36*l**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 13*k - 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -6, -1, -2 in descending order.\nAnswer: -1, -2, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -7*o**6\/30 - 7*o**5\/30 - o**4\/24 + 11*o**2 - 6*o. Find the third derivative of q(j) wrt j.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(-7\/5))\/(n*n*n**(1\/7)*n))\/((n\/((n*n**(-3\/13))\/n))\/n*n*n)**(2\/5) assuming n is positive.\nAnswer: n**(-1563\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -790 + 802. Let k = -0.1 + -0.1. Which is greater: z or k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22\/735 - 1\/294. Is v greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(156) + sqrt(156))*-1)\/sqrt(12).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 - -32. What is the second biggest value in -7, 0, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 273912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 0)*(-4)\/24*2. Suppose -2*z = -4*d - 10, 5*d + 0*d - 2*z = -10. Put p, d, -3 in increasing order.\nAnswer: -3, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2832*r = -2831*r - 7 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*w = -3922*w + 277*w + 235170 for w.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348311086.\nAnswer: 2, 5399, 32257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (10 + -2 - 3) + (1 - 3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-12))\/((-2)\/(-12)). Suppose -8 = -2*y, f*g - 3*g + 5*y + 1059980 = 0. Round g to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l**3 + 110*l**2 - 66*l - 120. Let z be i(-25). What is the highest common factor of z and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x*(x\/(x**(4\/9)*x))\/x))\/x)\/x)\/x**(-3))**(-4\/37) assuming x is positive.\nAnswer: x**(-88\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1819 divided by 1\nAnswer: -1819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 804469863936 + 4*u - 804469863936.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12674255 to the power of 1\/3, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 - 61. Let k = -30.8 - t. Let b = 24.8 - 25. Sort -2\/7, b, k in decreasing order.\nAnswer: k, b, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 3 = 15*c - 16*c, -479*c + 475*c - 24 = 4*l - 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -4 + 5 + -2 + -4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 544 - 129. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6190 divided by -1238.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + -5 + 520\/5. Suppose 3*h - 24 = z. Suppose 0 = -i - h + 51. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 0.02 (c) 663 (d) -4\/7 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 39 - (2 - -3 - 2 - 2). Let p be o\/(-90) + (-2)\/(-10). Let g be 66\/(-14) + (-4)\/14. What is the biggest value in p, g, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**5 - 242*k**4 - 719*k**3 - 478*k**2 = 0.\nAnswer: -239, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71499767.\nAnswer: 97, 737111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1057*q + 473*q - 1286*q + 98*q - 1166*q + 2360*q**3 wrt q.\nAnswer: 14160*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 36 - p**3 - 20.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4*t**2 + 7*t - 2. Let j be b(2). Let o(y) = y**3 + 9*y**2 + 9*y + 8. Let d be o(-8). Sort 2, -2, j, d.\nAnswer: j, -2, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9.2 and 18?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -200 + 238. What is the remainder when 119 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -29*g**2 - 11*g + 4. Let q(f) = 44*f**2 + 17*f - 6. Let w(l) = -8*b(l) - 5*q(l). Is 5 a factor of w(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 572733811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -1122*g**2 + 33*g - 750. Let j(x) = 70*x**2 - 2*x + 47. Let y(w) = -33*j(w) - 2*z(w). What is the first derivative of y(i) wrt i?\nAnswer: -132*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d + 1324 + 353 = 0. Let u = -130 - d. Is 14 a factor of (9\/18)\/(u\/(-74))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m - 60. Let r be x(18). Let g(b) = -14*b - 138. Let d be g(-10). Let a be 1\/((-1)\/(-4)) + -2. Solve -a*f - d*f = -r for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 4:38 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 55\/10 + (-660)\/264. Let u = 3 + -5. Let s = u - -7. Sort n, s, -2 in ascending order.\nAnswer: -2, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -108 - -58. Let b = l + 75. Let s = -19 + b. Calculate the greatest common divisor of s and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23720 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 135 = n - 12*r, -3*n - 4*r + 310 = 0. What is the remainder when n is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9 + (-2)\/6*0. Find r, given that 6*r**2 - r**4 - 4 + 36*r - 2*r**4 - j*r**3 + 28 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 3*h - 10. Let b be j(6). Calculate the greatest common factor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 923229911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(5*(-1*sqrt(78) + sqrt(78)) + sqrt(78)))\/(sqrt(66)\/(sqrt(825)\/sqrt(3))).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 267833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 380509, 631, 3, -2 in increasing order.\nAnswer: -2, 3, 631, 380509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x - 3. Let o be z(3). Let s be (1\/3)\/(15\/o). Which is the nearest to 1? (a) -3 (b) s (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 154*y**2 - y. Let g be v(1). Let m = g + -72. Let d = m - 53. What is the highest common divisor of d and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, g: 3, k: 2, z: 2, d: 2, o: 3}. Give prob of sequence koo.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124\/77 - 24\/(-42) - 2 - 5838\/1617.\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 3497428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 803, 1605, 2407?\n\"Answer: 802*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - q. Let t(h) = -6*h - 7*h**2 + 3*h**2 + 4 + 4. Let l(j) = -2*k(j) - t(j). Factor l(v).\nAnswer: 2*(v + 2)*(3*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13186 - -13190) + (-64 - 0)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3317700 + 0*d**3 - d**3 + 2*d**4 + 3317903 as h + q*d**4 + j*d**3 + c*d + r*d**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**15\/v**27*v**(-12)*v*v**15*v*v assuming v is positive.\nAnswer: v**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110110011101010 (base 2) to base 3.\nAnswer: 1102020200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.3 - 23167.46.\nAnswer: -23157.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 981426 and 7638?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 704 = -6*y + 4*y, -916 = -4*t - 3*y. Suppose 5*u = 3*i + t, -5*i + 15 = u - 9. Calculate the remainder when u is divided by 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*q - 282 + 470, 157 = -5*h + 2*q for h.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -d + 5*p - 6, -5*d + p - 2 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**2\/4 + 329155*t\/2 + 658309\/4 = 0 for t.\nAnswer: -658309, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 2578313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4049.2 - 4049. Which is the second biggest value? (a) n (b) -2 (c) 0.4 (d) 0.5 (e) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 3*n**2 + 38*n - 21. Suppose 3*k - 94 = 38. What is the remainder when x(8) is divided by k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 10*o = 46, -2*a + 16 = 2*o + 2. Let f(t) be the first derivative of 6*t**2 - 3*t**3 - 3\/5*t**5 + 12*t - a*t**4 + 10. Factor f(l).\nAnswer: -3*(l - 1)*(l + 1)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9220211 and 713944.\nAnswer: 4697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eedrjtk. Give prob of sequence dej.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -7073.15\nAnswer: -7072.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 201002211200 (base 3) to base 5\nAnswer: 44013142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1692\/34759?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/((p*p\/p**(-7))\/p)*p)\/p)\/(p*p**9))\/(p*p\/(p**(2\/5)\/p))**12)**20 assuming p is positive.\nAnswer: p**(-964)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 20. Suppose d - 58 = -x. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320645 times -0.1?\nAnswer: -32064.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 6*v + 9. Let o(x) = x + 4. Let m(s) = 5*o(s) - z(s). Determine m(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 0.1 (c) -4 (d) 1 (e) 0 (f) 0.5 (g) 5\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 1548?\nAnswer: 10836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s - s + 6 + s + 3. Does 7 divide x(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/18)\/((-3)\/(-2)*1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 2*l**5 + 2*l)*(-3 + 0 + 2) + 5*l**5 - 13*l**4 + 13*l**4.\nAnswer: 7*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.4 - -2.7. Sort 0, 1\/7, r in decreasing order.\nAnswer: r, 1\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2 + 20. Suppose 5*f + i = r, 0 = -i + 6*i - 5. Is ((-5)\/((-5)\/74))\/f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10 + -6 + 2 - 4. Is 39 a factor of (q\/1)\/(0 + (-2)\/(-724))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 16*p - 111. List the prime factors of r(19).\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06 + 2.06. Suppose 10 = -3*w - 2. Let i be 1 - (-2)\/(2 + -1). What is the second smallest value in m, w, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9940 to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/3)\/((-4)\/6). Let r be -14 - -5 - (-7 + l). Put -8, 1, r in descending order.\nAnswer: 1, r, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-2 - -3) - (-1 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((1712\/(-160) + 10)*(2 + -1)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3131241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 33?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50377632.102543 + -50377660. Let v = s + -0.102943. Let y = -28 - v. Round y to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-7)*(-8820)\/504?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 14*c**3 + 8*c - 8. Let v be (9\/27)\/(1\/(-9)). Let l(g) = 3*g + 3*g**3 + 0*g**3 + 2*g**3 - 3. Let z = -5 + 13. What is v*q(x) + z*l(x)?\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 16) in base 6?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oxox when four letters picked without replacement from {x: 7, o: 4, h: 5}.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + (3 - 10)*-1*4044\/(-4718)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/3369413 or 1?\nAnswer: 8\/3369413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 2*l**2 - 117. Let z(a) be the second derivative of -a**4\/12 + 2*a. Give f(z(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41.2 - -3.4. Let c = 38 + u. What is the second biggest value in 0, c, 5, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-245)\/15 - 168\/(-126).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3.9, -24, -1, 2\/7, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/(-16))\/(6\/(-4)). Let y = 47.5 - 48. Which is the smallest value? (a) 3 (b) x (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(3\/(-1 + 4)). Let n = w + 16. What is the greatest common divisor of 3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 14*p - 920 + 920 + 12*p. Let d(g) = 6*g. What is n(d(r))?\nAnswer: 156*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 18*q**3 - 3*q**2 + 2. Let j be p(1). Let m(x) = x**3 - 15*x**2 - 36*x + 13. Let f be m(j). Let t = 59 + f. What are the prime factors of t?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.076 - -0.076. Let m be (45\/(-20))\/(2\/8). Which is the second biggest value? (a) m (b) l (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4\/3 (b) 34\/5 (c) 1.07 (d) 12 (e) 2\/15 (f) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 205836, 411608, 617378, 823146, 1028912, 1234676?\nAnswer: 1440438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -1, -6, 6\/7, 2\/5 in descending order.\nAnswer: 6\/7, 2\/5, -1\/2, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/3 of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356237 is divided by 1250?\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.15 + -4.85. Let g = -0.1 - 2.6. Let y = g + 3. Which is the second biggest value? (a) s (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/(-28))\/(30\/(-28)). Let s = 0.8 + -2.4. Let q = s - -1.1. Put q, l, 0.4 in increasing order.\nAnswer: q, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(2\/29)*n**(2\/7)*(n*n**38*n)\/n**(-5\/3) assuming n is positive.\nAnswer: n**(26116\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 129, -8, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 7*u**3 - 4*u**2 + 8. Let b be f(5). Suppose -5*j - 5*h = -920, -4*j - 3*h + b - 45 = 0. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 986\/31 (b) -5 (c) 2 (d) 58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9 - 53)\/(15\/(-6720))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/21 + (1992\/(-144))\/83?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 - -51. Suppose 2*h = i*j - 4, 0 = -j - h + 3*h. Let a be (-1 + j)\/(6 + -7) + 1. Solve f + 0 - 3 = a for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60169\/180489 + 2\/60163. Let j = 13\/2 + -41\/6. What is the closest to j in g, -0.3, -0.11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a + 2. Let u be t(-3). Sort -1, 3, u, -5.\nAnswer: -5, -1, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from biipiimib. Give prob of sequence pmb.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*d = 23*d + 35*d - 1632425. What is d rounded to the nearest one hundred?\nAnswer: 71000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(69\/6 - 17). Which is the closest to -3? (a) j (b) 0.5 (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u + 115 = 33*u. Calculate the lowest common multiple of 5 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1041332?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9 - (4 + (7 - 6)). Solve 5*k = 4*k + o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1288 is divided by (-21)\/154*-4 + (-56164)\/(-44).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/1)\/((-63)\/462*-55)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4066 + 5944. What is the least common multiple of q and 4?\nAnswer: 3756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**5 - 153*n**4 + 1356*n**3 + 13116*n**2 - 64080*n + 67200 = 0. Calculate n.\nAnswer: -8, 2, 20, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 15*a + 11. Let c(q) = 3*q + 2. Let w(t) = 14*t + 188. Let g be w(-13). What is g*m(l) - 33*c(l)?\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60 - 58. Suppose 3*g - 10 = -5*t + 14, h*t - 15 = -3*g. What is the remainder when -2 - (3 - 4) - (-174)\/g is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 283718 and 283717 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/3)\/(x*x*x**(1\/5))*x**(-4\/3)\/((x\/(x**(-1\/9)\/x))\/x))\/((x**(1\/2)*x)**(-1\/4)*x**(-6)\/x**(-4)) assuming x is positive.\nAnswer: x**(-697\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-8))\/(3\/(-9168)*-4). What is the greatest common divisor of g and 955?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17381 by -8.\nAnswer: -17381\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 94130?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -23\/5, 12, 5, -4, 106, 0.31?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, n: 6, d: 4, t: 7}. Give prob of picking 3 t and 1 z.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 l when three letters picked without replacement from {e: 1, c: 3, p: 2, l: 4}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c + 11. Let y be w(8). Suppose -3*i = b, -6*b = -b - y*i. Let l be 15\/66*24\/(-30). Which is greater: l or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, o: 6, p: 3, u: 1, a: 1, f: 1}. Give prob of sequence atut.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -21*m**5\/20 - 5*m**2 - 14*m. What is the derivative of v(g) wrt g?\nAnswer: -63*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of v**6\/120 - 13*v**5\/60 + 37*v**4\/24 + 3*v**3\/2 - 3*v**2. Calculate the lowest common multiple of w(9) and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(-2))\/(14 - (2 + 17)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 4. Let v = 6 - y. Let u = 1 + v. Is u less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396932505 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000122143 to six decimal places.\nAnswer: -0.000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-3*(-1*sqrt(660) + sqrt(660) + sqrt(660)))\/sqrt(11))\/(sqrt(1452)*1*-6).\nAnswer: -2 + sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b = -5*a - 70 + 215, -3*b + 9*a - 6*a - 25 = 110 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 155, 279, 439, 641, 891?\nAnswer: 1195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4410 is divided by 2635.\nAnswer: 1775","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5 = -0*o - o, -3*o + g + 40 = 0. Suppose -15 = 5*b + o. Let j be -6 + (-3)\/(b\/2). Sort j, -1, 2 in increasing order.\nAnswer: j, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 12*v**2 + 2*v + 19. Let n(r) = -r**3 - 12*r**2 + 3*r + 18. Let q(h) = 4*b(h) - 5*n(h). Is q(-11) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 4, 33.\nAnswer: 0, 2, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43 and 3569.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1187*d**3 + 55354*d**2 - 55354*d**2 + (d**3 - 4 + 4)*(2 + 2 - 6).\nAnswer: 1185*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w - 4. Let f be g(-7). Suppose -o = -3*o + f. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 + 4*z - 4. Let v(y) be the first derivative of 4*y**3\/3 + 9*y**2\/2 - 9*y + 393. Give 14*q(a) - 6*v(a).\nAnswer: 4*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 43367.5 and 916439275?\nAnswer: 916395907.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 38*q + 35. Let i be j(-38). Let c = i + -35. Suppose 6 = -2*t - 4*x, 3*t = 2*x - 15 - 2. Put -3, c, -1, t in decreasing order.\nAnswer: c, -1, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*t**2 + 25*t**2 + 4*t**4 + 5*t**3)*(2*t - 2 + 2*t - 3*t).\nAnswer: 4*t**5 - 3*t**4 - 10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9314405 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(-2\/41)))\/d**(-3\/11)*(d*d*d**(-22)*d)**18 assuming d is positive.\nAnswer: d**(-154097\/451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1098)\/(-135) - 8)\/(4\/60). Solve 12 - b = 2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((33\/(-15))\/((-14)\/(-105)))\/((-28)\/(-168)).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 139668.\nAnswer: 139668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66842?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20766382*n - 63576429 wrt n?\nAnswer: 20766382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21 + -19?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 1 (c) 640\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 283 + -224. Suppose 2 - y = -3*m. Which is the third smallest value? (a) -2\/15 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1872 - 1871.6262. Let b = s + 170.3262. Round b to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9550?\nAnswer: 2, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3739860331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 12*q - 20*q. What is the third derivative of -11*j**2 - 12*j**2 - 7*j**5 + 15*j**q - 4*j**2 wrt j?\nAnswer: -420*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -1\/7 (b) 1 (c) 0.03 (d) 0.114314\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*p - 145. Let d = p - 10. Let r = -17 + d. Solve 19 = -0*w - 4*w + 3*k, w - k = -r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68246867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a + 287 = 1952. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (323*c - 167*c - 158*c + 253)*(-1 - 2 + 1) - 2*c + 5*c - 2*c + 2.\nAnswer: 5*c - 504","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7824416 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4 = -2*t, -5*t + h = -6 - 2. What is the thousands digit of t\/((-7)\/(-55321)*7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 189 = -19*v + 22*v, -2*v + 2*y + 114 = 0. What is the lowest common multiple of 10 and v?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 144\/7 + -4*(959\/196 + -5).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -10\/3*j**3 - j**2 - 3*j + 53. Find the second derivative of l(t) wrt t.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 28*(2 - 3) - -3. Let v = -6 - m. Let y = v + -7. Calculate the greatest common divisor of 8 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.305076 minutes to nanoseconds.\nAnswer: 498304560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4858649 + 4858649 + 326*j.\nAnswer: 326*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10760 + 10760 + 227*g.\nAnswer: 227*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 372 = 2*y, 102 = 2*g + 3*y - 43. Let d = -68 + g. Solve -d*t - 4 = -4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -435 (c) -4 (d) 5 (e) -0.5 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*k - 58 = 0, 0 = -r + 4*r + 4*k + 126. Let c be (-2)\/(-3) + (-24860)\/(-24). Let d = -1087 + c. Find the common denominator of r and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (90\/1170 + (-68)\/39)\/((-1)\/471). Which is smaller: h or 1567\/2?\nAnswer: 1567\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 7*k. Let s = 2493 - 2488. Give d(s).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - -5)*(2 - 1). Which is smaller: i or -0.009?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/5 of a decade?\nAnswer: 696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, 79\/2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*x = 5*x - 571, 2*a = -5*x + 1145. Suppose 2*w = 8*w + a. Is (1 - w\/3)\/((-16)\/(-24)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48008 divided by -3?\nAnswer: 48008\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1038, -2074, -3072, -4026, -4930, -5778, -6564?\n\"Answer: j**3 + 13*j**2 - 1082*j + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 30589474500 to the nearest 1000000.\nAnswer: 30589000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 - 78579208*h - 157158424.\nAnswer: 2*(h - 39289606)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5365 and 333.\nAnswer: 48285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s. Let v(g) = -151 - 149 - 145 + 4*g + 446 + 2*g. Give -3*o(x) - v(x).\nAnswer: -3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 14 (b) 3 (c) 0.28 (d) -21 (e) 0.5 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 6*v + 20. Factor 6*b**3 - 4 + 5*b**2 - 12*b**3 - 16*b**2 - 14*b - v*b**2.\nAnswer: -2*(b + 1)**2*(3*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-158)\/(-858) + (-12)\/78. Let u(w) = -w - 3. Let g be u(-4). Which is bigger: a or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 181, 1, -5 in ascending order.\nAnswer: -5, -4, -3, 1, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -112097, 36 in decreasing order.\nAnswer: 36, 2, -112097","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -7. Let b be 10\/3 + (-4)\/k. Solve -2*z = -3*o + 7, -2*o + 6*z = b*z - 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -135 + (-2 + -6 + 14 - 5 - -4)?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20137 is divided by 18960?\nAnswer: 1177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-2) - 40217\/15458. Which is the nearest to 1\/4? (a) 0.01 (b) -2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157902?\nAnswer: 2, 3, 26317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 442571000 to the nearest 1000000.\nAnswer: 443000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1366265800 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 + 1)*(-v + 5*v - 2*v) + (-2 + 4 - 3)*(v + 4*v - 6*v) to the form b + p*v and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**4 - 2*k**2 - 2*k**3 - 2 + 3*k**2 + 1118*k - 800*k as c*k**3 + z*k**4 + p + l*k + m*k**2 and give l.\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 - (6 - 10 - -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 239, 0, -1, -8, -57, -5.\nAnswer: -57, -8, -5, -1, 0, 239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.294 + -10.296. Let j = 0.01 - h. Let l = j - -1.4. Which is the biggest value? (a) 1\/3 (b) l (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (3 + 4\/(-1))*-55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 8*j**2 - j - 5. Calculate the remainder when w(4) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 - 9*v - 26. Let q(y) = -y**2 + 7*y - 4. Let m(a) = a**2 + 4*a + 5. Let p be m(-4). What is the remainder when z(7) is divided by q(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -525 = -163*p - 36. Solve -p*k - 24 = -6*k - 3*c, 3*c = k - 8 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 120.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16935 and 12110.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ziiiznizzi. What is prob of picking 1 n and 1 z?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-17)\/85 + (-2)\/8*12\/(-15). Suppose -4\/5*q**2 + 0*q + j = 0. Calculate q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1920 divided by 384?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((-2 + sqrt(684))**2 + 1 - (sqrt(684)*1)**2*4)*-3)*1*5.\nAnswer: 360*sqrt(19) + 30710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 - 19*q + 26. Let l be o(8). What is the derivative of i**2 - 193 + 206 - 27*i**3 - i**l - 2*i wrt i?\nAnswer: -81*i**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3954868 (base 11) to base 12\nAnswer: 2360595","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -467*f**3 + 222*f**3 + 229*f**3.\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 8:44 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 4*f + 40, 10*f = -2*t + 5*f + 1 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) -2\/9 (c) -5 (d) 284657 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -107500 to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/(-255))\/(4\/(-10)). Let f = 0.1 - -0.3. Let c = 20\/13 + -87\/65. What is the third smallest value in f, o, c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -0.4. Suppose 3*s = -4*l + 18, 2*s - 5*s - 6 = -4*l. Let g = -0.3 - -0.23. Which is the third biggest value? (a) g (b) l (c) -1\/4 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6177 plus -0.0317?\nAnswer: -6177.0317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 - h**2 - 4*h**2)*(-3 + 1 + 4) + 0 - h**2 + 0 + 9 - 11*h**2 - 9 + (2*h**2 - 4*h**2 + 4*h**2)*(-2 + 0 + 3).\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 53*t**2 + 60*t - 20. Is r(-51) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 - -0.2. Which is the fourth smallest value? (a) p (b) -2 (c) -1 (d) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-15887)\/(-2) - 1)\/(32 - 5500\/176)?\nAnswer: 2, 3, 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-31 + 35 - -28) + 12\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1963 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 176*k + 1. Let r be v(1). Suppose 0 = -7*j + r - 51. What is the least common multiple of j and (-104)\/(-10) + 4\/(-10)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 605\/63 - 68\/7. Let u = -13.22 + 15.2. Let v = -0.02 - u. What is the nearest to v in -1\/3, 3, d?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -258*f**2*g + 4*f + 3*g wrt f.\nAnswer: -516*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 14 = 3*i + 4, -2*f = 4*i + 4. Let b(l) = 2 - 3 - 2 + 4*l. List the prime factors of b(f).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + 5*j - 1 + 8)*(1 + j - 1).\nAnswer: -j**2 + 7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -17 + -9 - -126 - 54\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*a - 25 = -44*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 0)\/((-4)\/(-16)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (901\/(-159) + (1 - -2))*(-9)\/(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3577 in 0, -4, 2\/13, -4\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - 22.22. Let p be ((-255)\/36)\/(-5) + -21 + (-1053)\/(-52). Put 0.4, a, p in increasing order.\nAnswer: a, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -876*t - 5*t**3 - 877*t - 876*t + 3495*t - 875*t.\nAnswer: -5*t**3 - 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qjqjjqqjjqqqqq. What is prob of sequence jqjj?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -592? (a) 0.5 (b) 0 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-16)\/12)\/((-1)\/3) - -11. Suppose -77964 = -w*x - 16374. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.048 + -5.455\nAnswer: -7.503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (11\/22)\/(3\/(-114)). Put j, -4, -3 in descending order.\nAnswer: -3, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34715 and 5880721.\nAnswer: 29403605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 40499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -1\/60*h**5 - 17\/24*h**4 + 3*h**2 - 7\/2*h**3 + 0 + 0*h. List the prime factors of y(-9).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 73, 158, 249, 340, 425, 498, 553, 584?\n\"Answer: -o**3 + 9*o**2 + 65*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-2)\/10*(-10)\/(-18)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -57*r**2 + 10*r - 32. Let d be y(3). Let i = -490 - d. Solve 5*k + i = 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.15 - 2.45. What is n rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 23, -42, -167, -364, -645?\n\"Answer: -2*m**3 - 18*m**2 + 3*m + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*h + 2773 = -197 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 143208.\nAnswer: 143208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11968, 23929, 35866, 47767, 59620?\nAnswer: 71413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 16, i + 3*n + 1 = 15. Solve 5*u = 4*d - 17, -2*d + 13 = 3*d + i*u for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23699*p + 23697*p - 4*p**2 + 28 - 1.\nAnswer: -4*p**2 - 2*p + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3044438, 3044440, 3044442, 3044444?\n\"Answer: 2*q + 3044436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 848*y - 34568. Give l(41).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -46. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00161287 rounded to 4 decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-24)\/(-138))\/(-1 - 1). Let w be -1*(2\/3)\/(-2). Which is greater: v or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 5, -1, -4, 16, 3, 1193 in decreasing order.\nAnswer: 1193, 16, 5, 3, -1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 53328?\nAnswer: -53325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 3:45 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2418747 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13\/((-39)\/(-60)) - 4\/(-2). Find the third derivative of -v*u**4 - u + 6*u**4 - 18*u**2 + u wrt u.\nAnswer: -384*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4376 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 0*d**2 - 126 - 126 + 253 + d**2. Let u(m) = -33*m. What is s(u(p))?\nAnswer: -66*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0.7, -117\/7 in increasing order.\nAnswer: -117\/7, -11, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*l + 229 = -0*a, -5*a = -2*l + 231. Let k be (-544)\/12 + 46\/(-6) + 6. Is k >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -135 in 1\/2, 1\/3, 1\/4, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**4 - 3*z**3 - 8*z**2 - z + 9*z**2 + 3*z to the form i*z**3 + b*z + q*z**2 + n + g*z**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -266, 2\/73, -22\/13 in descending order.\nAnswer: 2\/73, -22\/13, -5, -266","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v + 2. Let l be b(-1). Suppose -2*t + l*t = 46. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 459, 1, -4, 4, 3, -8 in ascending order.\nAnswer: -8, -4, 0, 1, 3, 4, 459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 6:14 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 0*k - k - 318 = 0, -2*k + 6 = 0. List the prime factors of h.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2954 divided by -1.\nAnswer: -2954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4062059?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.43 + -0.34\nAnswer: -0.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 10 = 0, 248*o - 245*o - 5 = 2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(60\/(-25)) - (-1)\/2. What is the third biggest value in 6, d, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28 - 12) + -22 + 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5962, 6019, 6076?\n\"Answer: 57*p + 5905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - o + 35 = -0*t, 2*t + 3*o - 35 = 0. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3762445 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 3)\/1*914\/(-1828)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2197.63068336352 + 0.27378683648. Let b = j + -2388.90447099. Let k = b + 191. What is k rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -413 + 1315. Let l = d - 1729. Let j = -9961\/12 - l. Calculate the common denominator of 73\/22 and j.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - r - 1782. Let s be r\/(-18)*(-4)\/(-6). Suppose -2*c - 11 = -s. Calculate the highest common divisor of 11 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16909759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/206749?\nAnswer: 2\/206749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, x: 6, m: 1}. What is prob of picking 1 x and 3 s?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n - 5. Let z be g(-4). Let d(v) = 2*v**3 - 5*v**2 + 905*v - 1803. Let j be d(2). Solve j*b - 10 = -f, -2*f - 3*b + 6*b = z for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 180108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 14 = -2*j. Let f = j - -12. Suppose 1 = 2*r - 9, -4*r = -f*d. Solve -8 = -d*x - 0*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 241\/5, 16, 0.03 in increasing order.\nAnswer: -5, 0, 0.03, 16, 241\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2224 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25682626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiidgijijjjiji. What is prob of picking 2 i?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9bd (base 14) in base 5?\nAnswer: -30211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**2*y - 2978*j**2 + 6*j*y - 10*j - 86*y wrt j.\nAnswer: -2*y - 5956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.378414 - -0.5661809. Let z = 0.0222374 + p. Let o = z - 0.21. What is o rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 2*c + 3. Let r be w(4). Let h be 2 + 20\/(-2) - (-266)\/38. Put -8, r, h in increasing order.\nAnswer: -8, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 230863576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 + -39. Let i(l) be the second derivative of l**4\/12 - l**3\/3 + 3*l**2\/2 + 2*l. Determine i(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9203 + -1054. List the prime factors of b.\nAnswer: 29, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -27022358 and 3?\nAnswer: -81067074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**4\/8 + m**3\/6 - 4*m**2. Let f(x) = x**3 + 4*x**2 + 5*x + 6. Let y be f(-4). Let g = y - -17. What is q(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 8 = -2*k, -4*a + 4*k - 1 = 15. Which is smaller: a or -2.66?\nAnswer: -2.66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 127*(-5)\/(-105) - (11 + -29)\/(-3).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -1\/3 (c) 0 (d) 36.134\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74422, -74612, -74930, -75376, -75950, -76652, -77482?\nAnswer: -78440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 11321b?\nAnswer: 113220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -65\/292 - 2\/73. Let j = -0.03 + 0.13. Let p be (8\/30)\/(4\/(-6)). Which is the closest to j? (a) 2 (b) p (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5329*a + 5329*a + 18 - 791*a**2.\nAnswer: -791*a**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1069, 852, 645, 454, 285?\n\"Answer: n**3 - n**2 - 221*n + 1290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -400, 7, 16, 36, 2 in ascending order.\nAnswer: -400, 2, 7, 16, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10*(15\/(-3))\/(-5). Let a = s + -10. Suppose a*k + 4*k - 316 = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 8*b - 8. Let s(v) = -3*v**2 + 23*v + 23. Let q(y) = -17*r(y) - 6*s(y). Let t be q(4). Suppose 5*l - t = 3*l. Solve 0 = l*o - 1 - 11 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1275)\/(-27) + 2\/(-9).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 430044493 to the nearest integer?\nAnswer: 20738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -3, -1.\nAnswer: -3, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2902152300 to the nearest 1000000.\nAnswer: -2902000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -6526 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 7*h**2 + 252*h. Let m(s) = -3*s**3 - 14*s**2 + 504*s. Let c(v) = 4*m(v) - 7*t(v). What is the second derivative of c(l) wrt l?\nAnswer: -30*l - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12656808 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4532\/(-1236))\/((-77)\/(-30)).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1504844 by 3.\nAnswer: -1504844\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 814521 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r - 66. Let a(z) = z**2 - 10*z - 131. Calculate -2*a(i) + 5*l(i).\nAnswer: -2*i**2 - 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*t**3 + 15*t**3 + 3*t**2 - 50*t - 11*t**3 + 0*t**2 wrt t?\nAnswer: 96*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9977 - -418991\/42. What is the common denominator of a and 10\/63?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 796196 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a meter in millimeters?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(8640)*-1 + sqrt(8640))*-4)\/(3*sqrt(300)*-1 - (sqrt(300) + -4*2*sqrt(300))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -16*l**5 + 2*l**3 + 19*l**2 - 2*l + 2. Let q(x) = x**5 - x**3 - 1. Let y(h) = -k(h) - 2*q(h). What is the third derivative of y(j) wrt j?\nAnswer: 840*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -100, -72, -22, 56?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = 63 - 30. Let s(h) = -6*h**3 - 4*h**2 + h + 1. Let g(q) = 5*q**3 + 3*q**2 - q - 1. Give y*s(b) - 4*g(b).\nAnswer: -2*b**3 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16*(-3)\/(-12)*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**2 + 6*k - 3. Let z(r) = -1 - 3 + 3 - r. Let a be z(3). Let m(t) = 8*t**2 - 17*t + 8. Let g(i) = a*m(i) - 11*u(i). Factor g(c).\nAnswer: (c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(8\/(-16) + 1\/1). Let n be j\/9 + (-375)\/(-135). Suppose -4\/7*t + 0 + 2\/7*t**n - 6\/7*t**2 + 6\/7*t**4 + 2\/7*t**5 = 0. Calculate t.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33632?\nAnswer: 2, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69*q**5 - q**2 + 132*q wrt q?\nAnswer: -1380*q**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2 = -2. Suppose -s - 956 = 2*z - 5176, 4232 = b*z - 2*s. Let f = z + -3582. Round f to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1 + -4 - (1 + 14 + -37)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l**2 - 10*l - 3. Let y(i) = -25 + 24 - 15*i - i**2 + 12*i. Calculate -4*c(g) + 14*y(g).\nAnswer: 2*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -711222229.39999969 + 711222234. Let l = b + -4.6. What is l rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3.1 (b) -5\/4 (c) -4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 10*t**2 + 18*t. Let y be i(8). Is ((-120)\/y)\/(1\/(-30)) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.901 and 3.\nAnswer: 2.099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + 386229534276\nAnswer: 386229534275.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36719 - 36764. Put w, -0.1, -1\/2, 0.5 in decreasing order.\nAnswer: 0.5, -0.1, -1\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1900348853?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 8*s**2 - 12*s - 8. Let j be g(-9). Suppose 8*i + 68 = 4*p + 4*i, -2*p = 3*i - j. Solve 16 = 4*a + h, a - 3 = 3*h + p for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 161827865*l**3 + 638397611*l**2 wrt l?\nAnswer: 970967190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -808 (base 9) to base 12\nAnswer: -468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, g: 2, b: 1, f: 8, m: 4, t: 2}. Give prob of sequence gf.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000579 to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 5*a**2 + 31030*a + 6151025 = 0.\nAnswer: -6001, -205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-13.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**5 + j**5 - 2*j**5 + (-6 + 3*j**3 + 6)*(4*j**2 - 2*j**2 + 0*j**2) + 0 + 29*j**5 + 0.\nAnswer: 36*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*sqrt(136)*5 - (sqrt(136) + -4*sqrt(136)*4 + sqrt(136) + sqrt(136) - sqrt(136)))\/((sqrt(72)\/sqrt(3)*5)\/(1*sqrt(48))).\nAnswer: 96*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 15*o + 30. Calculate u(-17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/4*(-63)\/294 - ((-3105)\/36 + 8)\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*j + j - 28713, 4*j - 22948 = -4*x. Let m = -3714 + j. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -119.34977?\nAnswer: -59.674885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, d: 2, b: 4, y: 4, t: 1, o: 2}. What is prob of sequence yy?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -c**3 - 1098*c**2 - 401868*c + 193. Factor p(u).\nAnswer: -3*(u + 366)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 7:52 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4247, 4244, 4247, 4262, 4295?\n\"Answer: z**3 - 3*z**2 - z + 4250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 164719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v + 14. Let h be j(9). Let z = -17 - -52\/3. Which is the biggest value? (a) h (b) -3\/7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 x when two letters picked without replacement from {y: 2, g: 4, i: 2, x: 1, j: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12541485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**3 - 3*s**2 + 0*s**3 + 2*s**4 - s + s**2 to h*s**4 + j + d*s**2 + a*s**3 + i*s and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15, -40, -73, -114, -163?\n\"Answer: -4*h**2 - 13*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 21 = 6*s. Let p(q) = -8*q + 28. Is p(s) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 379553 + 640443. Suppose 3*t + 2*o + g = 0, 6*o - 8 = 2*o. What is t rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317 is divided by 52?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302302004.\nAnswer: 2, 631, 119771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of 4273*l**3\/3 + 1317*l**2\/2 - 10369*l. What is the first derivative of s(t) wrt t?\nAnswer: 8546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, p: 7, b: 7, n: 2}. What is prob of sequence bn?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(117)\/sqrt(9)*3 - sqrt(117)\/(sqrt(9) + sqrt(90)\/sqrt(10)) - -6*-3*(-2 + sqrt(1573))).\nAnswer: -391*sqrt(13)\/2 + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 248569259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -78 + 78. Suppose o + 106 + 251 = 4*g, -4*g - 5*o + 351 = c. List the prime factors of g.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 13*m - 13. Let a be x(-14). Calculate the common denominator of ((-44)\/(-64))\/(-2 + a) and (-2)\/5 + 14\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(0 - -2) + 2. Suppose -5*u + 50 = 5*b, 4*u = -u - p*b + 52. Solve 10 = 3*c + 2*k + 2*k, -3*k + u = 4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.473 and 0.2?\nAnswer: -0.8946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 110*-14*27\/252*(-1)\/3?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 645 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -11*t + 4. Suppose 21*s - 2*l = 86, 3*s - 7 = -3*l - 2*l. Let n(w) = 155*w - 55. Calculate s*n(z) + 55*o(z).\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85243\/18 + -4741. Calculate the common denominator of ((-2)\/(-8))\/((-9)\/(-474)) and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -1 (c) 0.1 (d) 4\/5 (e) 1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/6 - 438955\/(-2082). Let t(i) = -1. Let u(x) = 5*x - 35. What is h*t(n) - 6*u(n)?\nAnswer: -30*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of q**5\/30 - q**3\/6 - 3*q**2\/2 - 1. Let i(b) be the second derivative of x(b). Differentiate i(h) with respect to h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i**5\/2 - i**4\/2 - 5*i**3\/2 + i**2\/2 + 4*i + 2 = 0. What is i?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -5*y**2 + 6*y + 6. Let l(w) = -9*w**2 + 11*w + 11. Let g(b) = 11*h(b) - 6*l(b). Let z be g(0). Solve 5*m - 4 - 1 = z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -94.6 or -1?\nAnswer: -94.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 2200583.448 and -0.01.\nAnswer: 2200583.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 238 + 83. Suppose -21*f + 18*f = -s. Calculate the remainder when f is divided by 38.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4829*p**3*v**5 - 109284*p**3 - 35*p**2*v**2 + 1569*v**6 wrt v?\nAnswer: 289740*p**3*v**2 + 188280*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 2*q - 2. Let c be -3*(2 - q)*1. Suppose 5*v - 4*w + 9 = 0, -4*v - 4*w = -3*v - 3. Sort c, 0, v in ascending order.\nAnswer: c, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(-2))**(-20\/11)*(r\/r**(-1))**(7\/11) assuming r is positive.\nAnswer: r**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -l**6\/120 + l**5\/20 - l**4\/6 + l**3\/2 - 6*l**2 + 127*l. Let g(b) be the first derivative of h(b). Give g(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 11. Let z = g - 15.2. Is z less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 s when two letters picked without replacement from {d: 4, t: 2, w: 1, g: 3, s: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3822705 divided by 18.\nAnswer: -424745\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v - 56. Let a(m) = -11. What is 11*a(p) - 2*x(p)?\nAnswer: 2*p - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m*q**2*s**2 - 1715*m*q**2*s + m*q*s + 48*m + q*s**2 + 2*q*s + q wrt q.\nAnswer: 2*m*s**2 - 3430*m*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -20 (c) -4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 1503, 45, 5, -5 in ascending order.\nAnswer: -5, 5, 8, 45, 1503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 32093657*4\nAnswer: 128374628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-2 + 4 - 1). Let a be 2\/(-4)*(-4)\/1. Let n(k) = k**2 + a*k**2 + m*k**2. Let f(o) = 3*o. What is n(f(y))?\nAnswer: 27*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqeqhqehpphqqehm. What is prob of sequence pe?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 12*r**2. Let v(c) = -7*c + 7*c + 0*c - 3*c**2. What is v(q(a))?\nAnswer: -432*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*c + 316*c - 153*c + 14 = b, -5*b - 2*b + 2 = 2*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 27*d**3 + 4*d**2 + 5*d + 8. Let o be x(7). Round o to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 2*v. Let s = 7.9 + -8. Which is the nearest to v? (a) -1\/3 (b) s (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 8. Let w be ((-2)\/(-20))\/(5\/(-20)). Which is the nearest to w? (a) -0.3 (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1447 at least 10127\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -44*((-21)\/(-12) - 1). Let i be -5*(-15 + 0 + 0). Let p = v + i. Calculate the greatest common factor of p and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(7\/1)*2907\/(-4131)*(-12)\/4\nAnswer: -19\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1476 = 7*b - 288. Calculate the greatest common factor of b and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1288, -3, -2\/17, -41?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -m + 3*m + 5, 2 = -2*z - 2*m. Let x(p) be the third derivative of p**5\/15 - p**4\/12 + p**3\/6 + 103*p**2. Give x(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5166\/28 + (-1)\/(-2). What is the highest common factor of 74 and x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7550 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(96)\/sqrt(4))\/sqrt(12).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43795971?\nAnswer: 3, 540691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -277 + 277.035. Let x = 0.165 + w. Let f = -548\/11 + 50. Which is the second smallest value? (a) x (b) 0.5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**2 + 11*h**3 - 8*h**4 + 3*h**4 - 11*h**3 wrt h?\nAnswer: -120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -510 times 76.8\nAnswer: -39168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1863 - 9243?\nAnswer: -aaa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 3:20 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 698452140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 7:38 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 3*t + 9, -3*t + 2*d + 0 = 5. Which is smaller: 2\/583 or t?\nAnswer: 2\/583","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/924 and -155\/17892.\nAnswer: 196812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -122 - -121. Let q be 0 + (z - 4\/(60\/(-21))). What is the third biggest value in q, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 255894703.3 to the nearest 10000.\nAnswer: 255890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 5838313818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 15 - 19 + 110*y**3 - 26*y**3 in the form f + k*y + j*y**2 + p*y**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*c - 4 - 1, 0 = 3*c - 3*a. Solve -2 = c*p - 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 56a52a0?\nAnswer: -56a529b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - x = 27, -5*b + 28 = -b - 4*x. Let n be (4 - b - 0) + 2. Solve -n = 3*w - 10 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cmgmmmammid. What is prob of sequence iga?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k**2 - k. Let y(r) = -36*r**2. Give y(m(w)).\nAnswer: -576*w**4 + 288*w**3 - 36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 10:22 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6.369776ng?\nAnswer: 0.000000000006369776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 - -5.97. Let k = 3\/394 + -815\/3546. Let q = -671\/4 - -169. What is the smallest value in q, m, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 37\/2 (b) 3 (c) 0 (d) 6\/7 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - (6 - (-8 + 13 - -3 - 8)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5 = -z, 5*f - 25 = 5*z - 0. Let k = z - -5. Let m be (-1)\/k - (-19)\/2. Solve -5 = s, -b - 4*s + m*s = -22 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 + 76. Let d = q - 33. Suppose 1 = i + 2*x, -i = -0*i - d*x - 6. Is i at most as big as 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b + 21 = 14*b. Let h be b\/63 - 160\/(-462). Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2147 + 107*x - 2147 + (-2*x + 0 + 0)*(1 + 2 - 5) + 13*x + 15*x - 3*x to the form z + k*x and give k.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 100, 153, 238, 361, 528, 745?\nAnswer: 1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 109 = -11*x, -241*a + 57 = 2*x - 236*a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4932 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/3 - 2164*p + 3512172.\nAnswer: (p - 3246)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*((-10)\/(-4) + -2). Suppose 6 + 18 = f*j. Let h be (108\/j)\/(2\/4). Calculate the highest common divisor of h and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35163 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: What is the millions digit of 67808544?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 7:54 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m + 2*m - 2*m + 7 + 0*m.\nAnswer: 4*m + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -22635, -36210, -49785, -63360, -76935?\n\"Answer: -13575*i - 9060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7248682 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -0.6 (b) 2 (c) -33 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 198367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -14, -9, 18, 79, 186, 351, 586?\nAnswer: 903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -35*b + 3613. Let z be q(64). Solve z*w - 1378*w - 20 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6751004, 6751034, 6751064, 6751094?\n\"Answer: 30*q + 6750974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268059705 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.7 + 6.7. Sort -5, a, -1.\nAnswer: -5, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -202737, -405235, -607745, -810273, -1012825?\n\"Answer: -a**3 - 202491*a - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/8 of a kilometer?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 44020 to the nearest one thousand.\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 10. Let a(r) = 8*r - 3. Suppose 0 = -5*o + 20. What is the remainder when a(o) is divided by k(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -176826.6.\nAnswer: -176826.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, w: 7, a: 3}. Give prob of sequence az.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e - -3d83?\nAnswer: 3d74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -2\/15, 188, -0.4, 2\/47?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b6d (base 14) in base 11?\nAnswer: 58a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of t**3*y**2 - 207*t**3 - 6*t*y**2 + 2*t*y + 15*t + y wrt y?\nAnswer: 2*t**3*y - 12*t*y + 2*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 723785788.\nAnswer: 2, 11, 139, 118343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23669175?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 7, -7131 in decreasing order.\nAnswer: 42, 7, -7131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 62832 and 1904.\nAnswer: 62832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 9:41 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13043721 is divided by 3260927.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + g - 2*g + 7 = 0, -2*b + 6 = 2*g. Let m be (1*2\/4)\/(-1). Put b, 0.04, m in decreasing order.\nAnswer: 0.04, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11332121 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.80165 + -1.651. Let x = 865.15 + -865. Let a = k - x. What is a rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9\/217 + -235\/434. What is the smallest value in 0.2, 1.3, 1\/12, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30652 + 111737. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x - 3*x + 3*x)*(-6*x**2 - 2*x**2 - 4*x**2 + (1 - 1 + x)*(2 - 2 + 2*x) + 3 - 3*x**2 - 3) as h*x + l*x**3 + v + c*x**2 and give l.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y**2 - 55*y + 18. Let t be d(-17). Let w = t + 1321. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (251\/3)\/(4\/12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.3 + -13.07. Let x = 1.87 + w. What is the nearest to x in 4, -1\/37, -3\/5?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 6476 = -1700. Is k\/(-36) - (-2 + (-16)\/(-9)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4 = 2*k. Let l = 10 - 11. Let p be (l\/k)\/(1\/4). Is p less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 123 + -118. Suppose -i - s - g + 19 = 0, -5*i + 54 = s. Calculate the remainder when 35 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31990 and 1279600.\nAnswer: 1279600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.0127, -7, 2\/9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**4\/24 + 2*k**2. Suppose 4*f - 30 = -5*o, -33 = -5*f - 5*o + o. Let g(h) = h + 2*h**2 - f*h**2 - h. Determine g(i(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292*z + 288*z = -c - 4009, 4*z - 4013 = 5*c. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1243 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10375 divided by -15527\nAnswer: 10375\/15527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + 0 - 3) + -4 - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 3*x - 19. Let k be j(-8). Suppose k = 5*v + 6. Let u(f) = -f**2 + 4*f - 2. Let w be u(v). Which is the closest to -1? (a) 0.3 (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (54\/(-21))\/(3\/(-322)). Suppose -c = 5*w + 2*c - f, 2*w + 4*c - 102 = 0. What are the prime factors of w?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cx when two letters picked without replacement from ckkkkkkkkxkkkkkkkkkk?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) -2\/5 (c) -8\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 16 = -u, 3*u + 4*z = -13 + 4. Suppose 0 = 2*o + 5*i + 17, 2*o - 41 = -2*o + 5*i. Sort o, 42, u in increasing order.\nAnswer: u, o, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -52722, -52742, -52776, -52824?\n\"Answer: -7*s**2 + s - 52716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 43488, 43442, 43366, 43260, 43124, 42958, 42762?\n\"Answer: -15*d**2 - d + 43504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2 - 2*v + 1. Let o(g) = -g - 2. Let a be o(-2). Let w = 8 + a. Suppose -6*c + 2*h = -5*c - w, 0 = 4*c + 5*h + 33. Give q(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1188 (base 11) to base 2.\nAnswer: -11000001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34178 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -16*k**6\/15 - 20*k**4\/3 + 287*k**2. Find the second derivative of l(a) wrt a.\nAnswer: -768*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1217468789\/353684 - 10\/88421. Let p = d + -3425. Calculate the common denominator of p and 2\/4 - (-68)\/(-22).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/15)\/((-3)\/9). What is the nearest to -1 in 2, 3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 10*r + 18. Let f be r\/(-4) - 1778\/(-8). Suppose -9*q = -f - 65. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 2*o - 5 = 0, -4*d + 0*o + 10 = -2*o for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*y = 3. Let i = -54 - -58. Find the first derivative of i*o + y - 6*o + o wrt o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 162\/11 or 15?\nAnswer: 162\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11)\/(-2) + 42\/28. Let a(p) = -p**3 - 4*p**2 - 3*p + 2. Let q be a(-3). Find the third derivative of -6*r**3 + v*r**2 - 2*r**q + r**3 wrt r.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24527*d + 22 - 22 + 185319*d.\nAnswer: 209846*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2946 + 2946. What is the smallest value in -0.31, 2, q?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.43 + 65.63. Let t = -73 + i. Round t to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 21*x**2 - 97*x - 188. What is a(-16)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-5)*((-1265)\/69 + 18)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - 1845\/(-82))\/((-7)\/406)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*j, -4*l + 2*j - 5 = -11. Let a(g) = 2*g**2 + 52*g + 53. Let u be a(-25). Solve u*d + l*p = 23, -d - 3*d - p + 22 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 10*s**3 - 3*s**2 + 3*s. Let c(y) = -59*y**3 + 17*y**2 - 17*y. Calculate -6*c(h) - 34*d(h).\nAnswer: 14*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.18021 and -1.1989.\nAnswer: 0.98131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = 14*u - 2*u. Let h(m) = -m. Does 25 divide h(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -82 + -1 + (-13 - -11) - (-6 + 2) - 0.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -47 divided by -1275\nAnswer: 47\/1275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20030 + -2333212?\nAnswer: -2313122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68 + -63. Suppose 2*b + 40 = d*f - 3*b, b + 2 = 0. Is f a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*3.9469\nAnswer: -1.18407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1434*y + 12 = -1431*y + 2*x, -5*y + x = -y + 17 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.58 + -150.42. Let z = q - -136.1. What is z rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1102120120 - 3?\nAnswer: -1102120123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17356775 or -17356774?\nAnswer: -17356774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12415 and 663.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2\/2 - 27075*f + 244351875\/2.\nAnswer: 3*(f - 9025)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 35\/42 + (-8)\/6. Which is the closest to o? (a) 3 (b) -5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 2. Suppose s = -l + 6*l - 10. Let r(c) = c - c - l*c. Let v(g) = -g**2. Determine v(r(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 561932.6kg?\nAnswer: 561932600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 31*v**2 + 10*v + 230. Calculate x(-31).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56393324 and 206.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/169, -0.013, 4\/9?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1656 and 125304.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.136305 to one decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t + 782*t**2 + 3*t**4 + 2*t**3 - 385*t**2 - 381*t**2 + 5 - 3*t**3 in the form s*t**2 + m*t**3 + l*t + u + o*t**4 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 - (18 - (-18 + 5 + 14)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0.35 (c) 1\/8 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 365884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.095 + 1.805. Let p = 41.9 - u. Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12548395?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30976*j**3 - 28*j**2 - j + 121 wrt j?\nAnswer: 185856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 6, 4*b - 2*d - 22 = d. What is the greatest common divisor of b and 94?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -5. Let i(h) = -h**2 + 8*h - 5. Let l be i(m). Solve 0 = -3*a - 2*a - l for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63.3 - 66.1. Which is the fourth smallest value? (a) w (b) -0.08 (c) 0.5 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*x - 5068 = 30*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, q: 3, t: 1, c: 5, f: 1, o: 3}. What is prob of picking 3 c?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 336078672 to the nearest integer?\nAnswer: 18332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 277916 and 280356.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 3*o)*(-3*o**3 + o**3 + 4*o**3 + (81 - 81 + 14*o**3)*(1 - 4 + 1)) to r + s*o**4 + n*o**2 + x*o**3 + t*o and give s.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.05 + 0.05. Let d = 0.557 + -0.257. Which is the second biggest value? (a) s (b) d (c) -58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341 a factor of 237821584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -21. Suppose -46 - 18 = 5*s - 3*l, g*l = -8. Let c = s + 15. Solve c = -3*r + 13 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -22*q**2 - 589*q + 342. Give g(-24).\nAnswer: 1806","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16754564 is divided by 915?\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 4*t + 95 = -5, r + 66*t - 92*t - 75 = 0 for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49.2 - -44.61. Let l = 0.41 - o. Which is the fourth smallest value? (a) l (b) 4 (c) 1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 17*b**3 + 3*b**2 - 12*b - 15. Let v be n(-6). Let i = -24589\/7 - v. Calculate the common denominator of -119\/10 and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + g = -3, 6*n + 16570*g = 16566*g + 18 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.051? (a) -0.5 (b) 3\/7 (c) -51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 537434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32324243 - -2423?\nAnswer: -32321320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001984 to seven dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1913243?\nAnswer: 19, 101, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -8077, -0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**5 + 140*y**4 + 780*y**3 - 5900*y**2 - 7496*y + 12480 = 0.\nAnswer: -8, -2, 1, 5, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.13 (b) -0.75 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14118151 divided by -2?\nAnswer: 14118151\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, z: 1, j: 1}. Give prob of sequence iiz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 186485 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-1)*93\/(-62)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 5. Let n(g) be the first derivative of g**2\/2 + 83. Let a(c) = -2*c**2 + 5*c + 1. Calculate h*n(s) - a(s).\nAnswer: 2*s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 7 - 13. Suppose 2*i = -3*f + 30, -3*f - 30 = -6*f - n*i. Suppose f*h = h + 36. Solve -h*t + 20 = t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/123795 and 34\/89735?\nAnswer: 16959915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373 is divided by (96\/192 - (-5)\/2) + (94 - 2).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 35.8 + -35. What is the second biggest value in t, -1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7891 and 3627.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4 - 364*y**3 + 7296*y**2 + 33680*y + 35200.\nAnswer: 4*(y - 55)*(y - 40)*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 354266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17451661 to the power of 1\/3, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**5 - 68814*v**4\/5 - 119117664*v**3\/5 - 2521969456*v**2\/5 - 1468555872*v - 508243680 = 0.\nAnswer: -3430, -18, -3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 615.3 + -675. Is s at most 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -33*k**2. Let h(y) = 5*y**2. What is h(r(u))?\nAnswer: 5445*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3343883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20434596*h**3*y**3 + 3*h**3*y**2 + h**3*y + 910*h*y - 8*y**2 wrt y?\nAnswer: -122607576*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 481080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h + 40*h - 49*h.\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h - 282 + 30 = 0. Suppose -4*w + 22936 = 4*u, h*w - 19*w - 3*u = -28664. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147199 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-4) - 129\/86) + -1\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 6*g**3 - 2*g**2 + 8*g - 5. What is c(2)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005556 to 7 dps.\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w. Let h(x) be the third derivative of -61*x**5\/120 - 7*x**3 - 79*x**2. Let q(v) be the first derivative of h(v). What is f(q(d))?\nAnswer: 122*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3409742 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -78723200 to the nearest 100000.\nAnswer: -78700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/20)\/(11\/(-44)). Which is the closest to w? (a) -2\/3 (b) -0.5 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-212)\/265*45\/(-21)*42\/(14\/7)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and 383.\nAnswer: -4596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p. Let o be a(4). What is the second derivative of -2*f**5 + 10*f + f**5 + o*f wrt f?\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1787 is divided by 519.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from oodydddodododddody.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnqqim. What is prob of sequence min?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r**2 - r. Let x(q) = -13*q**2 - 17*q - 196. Let g(z) = -6*i(z) + 2*x(z). Determine v, given that g(v) = 0.\nAnswer: -7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128272482?\nAnswer: 2, 3, 13, 31, 17683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -466392985*z**3 - 305804830?\nAnswer: -1399178955*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*u**2 - 4*u**2 + 0*u**2)*(523 + 92 - 122)*(3 - 7 - 2) to o*u**2 + p + j*u and give o.\nAnswer: -2958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63 + 57. Let f be 0\/(u\/(-9) + 10\/(-6)). Suppose -4*q = -2*r - 2*r + 16, 2*r - q - 6 = f. Solve -5 = 4*p + r*x + 11, -5*p = -4*x - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, s: 2, a: 3, n: 6, d: 1}. Give prob of sequence asn.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -645.716 rounded to the nearest 10?\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -676 - -677. Which is greater: y or 22\/381?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 2:08 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -24\/187 (b) -2\/15 (c) -178\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118 - 50 - a + 72 + 197 - 52 - 49.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-3) - 4805\/(-15). Suppose 3*w = 4*c - s, -4*c + c - 3*w = -219. What is the greatest common factor of c and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*a**2 - 149*a + 6733 wrt a?\nAnswer: 18*a - 149","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 70955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, o: 4, r: 2}. What is prob of picking 2 r and 1 o?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15987953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80 - -47. Calculate the remainder when c is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 k when three letters picked without replacement from {x: 1, k: 2, z: 1, q: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + 2*sqrt(363))*5 - 2*(-1 + sqrt(300))**2.\nAnswer: -602 + 205*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15043783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14\/529 + 72221\/9522. Find the common denominator of p and -99\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17372 is divided by 424?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -31*f**6 + f**5 - f**4\/4 + 9026*f**3\/3 - 4993. What is the third derivative of k(y) wrt y?\nAnswer: -11160*y**2 + 120*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6770582870?\nAnswer: 2, 5, 3023, 223969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 5*m**2 - 2*m + 5. Let z be i(5). Let k(n) = -n**2 - 6*n - 4. Let h be k(z). What are the prime factors of 0 - 2*(h - 10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.09 and 751?\nAnswer: 751.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.9 - -4.9. Let v = u + 165.2. Round v to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0024141925 rounded to 7 decimal places?\nAnswer: 0.0024142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2663 - -21349\/8. Factor 0 + 0*m + p*m**4 + 3\/4*m**2 - 51\/8*m**3.\nAnswer: 3*m**2*(m - 1)*(15*m - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 5:25 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 6 - (-10)\/(-3)*(-54)\/(-630)*-7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 134.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 26 and -101.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = 16*z, 26*g + 25*g + z - 3*z + 20 + 6 = -25*g + 72*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -139100 + 1?\nAnswer: -1390bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-2 + -2) - 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 15 = -5*f, -f = r + 4*r - 24. Let n be (-30)\/(-5)*((-2)\/3)\/(-2). Sort f, 0, n.\nAnswer: f, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - 70 - -4)\/(-1*1). Let j be (-1)\/(-3) - q\/54. Let a = -134\/3 - -45. What is the nearest to a in -4, 3\/19, j?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (180\/3290)\/((-2)\/14). Let v = r - 395\/564. What is the common denominator of (13\/6)\/(30\/20) and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*h - 702*h + 49164 for h.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(245) - (2 + 2*sqrt(245) - sqrt(245) - sqrt(245))) + (sqrt(2240) + -2*sqrt(2240))\/(sqrt(84)\/(1*sqrt(12))).\nAnswer: -4 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -c**6\/30 - 3*c**5\/25 + 31*c**4\/20 + 43*c**3\/15 - 27*c**2 + 40*c - 1437. Solve d(y) = 0 for y.\nAnswer: -5, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 24 = 3*h, 3*a - 5*h + 0 + 8 = 0. Suppose 2*l = a*q - 66, 2*q + l = -q + 57. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-67)\/(-2)*30\/3. Suppose -5*d = -k + 995, -4490 = -5*k - 5*d + 485. Let u = r - k. Round u to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3164, -13112, -29696, -52916, -82772, -119264, -162392?\n\"Answer: -3318*c**2 + 6*c + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 7.5. Which is the smallest value? (a) v (b) -2 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**4 + 5534*i**2 + 2*i + 15118?\nAnswer: -12*i**2 + 11068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 3. Solve h = -k*h - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/(-10))\/(1\/38). Suppose -u - 3*j = -3*u - 12, u + 6 = -j. Let g = 10 + u. Solve -a = 3*t - d, 0 = -5*t - g*a + 51 - 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 291*j**2 - 2625*j + 46. What is i(9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 71 - 91 = 2*l, c - 97 = 5*l. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t - 7*t**2 + 6 + 0*t**3 + 1 - t**3 + 13. Let o be c(-6). Sort 7, o, 0 in decreasing order.\nAnswer: 7, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/736 and 31\/37192.\nAnswer: 3421664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*1\/2*-1. Suppose 2*s + 6 = -5*r, -2*s + 10 = -d*s - 3*r. Solve 2*l + s*l = 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 e when three letters picked without replacement from meewmddfdedfedmd?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 46804 + 10?\nAnswer: 46814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.2 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11936795 and 63560.\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 2, 0.23, 899, -3?\nAnswer: 899","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2358344149?\nAnswer: 7, 41, 8217227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 - 0.46. Let o = 0.16 + d. Let x = 46.1 + -46. What is the nearest to x in -0.2, 11, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*z + 10*z - 224. Does 31 divide (-6)\/8 + (-2842)\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1450 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2*t - t - 1 - 6.\nAnswer: t - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008173 to 6 dps.\nAnswer: -0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1010 + -5?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6499, 6500, 6511, 6538, 6587, 6664, 6775?\nAnswer: 6926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 4*f**2 - 6*f + 10. Is r(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 - f**2 + 2*f - 1. Let a be n(1). Suppose -7*w + 201 = 117. Let d = w + a. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -0.3 (c) -0.0015 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 3, -494 in descending order.\nAnswer: 5, 3, -1, -494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w**2\/3 + 670504*w\/3 - 89400 = 0. Calculate w.\nAnswer: 2\/5, 67050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 62 = 3*b + 16, -5*b = -c - 86. Let a = 29 - b. Calculate the lowest common multiple of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*-1*6 + (-2*sqrt(99)*-1 + sqrt(99) - sqrt(99)))\/(6*(sqrt(54) + sqrt(1350))\/sqrt(6)))**2 + -2.\nAnswer: -151\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o - 58. Let y be j(-16). Suppose -7*a - y*a + 145795 = 0. Suppose a = -6*s + 11*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -91*h + 4 - 1447*h**2 + 1447*h**2 + 1720*h**5 + 2 wrt h.\nAnswer: 34400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29140 and 45.\nAnswer: 262260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43127*u**5 + 17922*u - 1.\nAnswer: -862540*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.531 rounded to the nearest integer?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241188826.\nAnswer: 2, 17, 2017, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (11\/4)\/(620\/(-7440))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 11860244?\nAnswer: 23720488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 3*y = 9, -10 = -5*j - 4*y + 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -452*c + 6795 + 6835 + 452*c + 7*c**3 - 13630.\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t. Let b(l) = -76*l. Let f(r) = r. Let q(o) = b(o) + 57*f(o). Give q(a(p)).\nAnswer: -19*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1303?\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(468) + 0 + sqrt(468) + -4 + -2 + 4).\nAnswer: -48*sqrt(13) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2166*f - 6262 = -572*f - 1480 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*l*w**2 + 4*l*w + 110876*l + 92*w**2 - 5*w - 2 wrt w?\nAnswer: -20*l*w + 4*l + 184*w - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 7*n**2 + 4*n + 6. Suppose -2*u + 853 = 3*p, -2*u + p = -5*u + 1283. Let w = u + -421. Give t(w).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72005 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 22\/5, -1, -3, 0.058, 0.4, -0.5 in increasing order.\nAnswer: -3, -1, -0.5, 0.058, 0.4, 22\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*i + 49 - 43*i + 82*i to t + x*i and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 374, 638, 898, 1154?\n\"Answer: -2*d**2 + 270*d + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-10))\/(1947\/472*60\/(-27))?\nAnswer: -3\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5}. What is prob of picking 2 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 439*l - 5951. Let h be t(14). Which is the nearest to -1? (a) 0.01 (b) 11 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(192) + 0)*-2 + -6*5*-2*sqrt(192))**2*3*1.\nAnswer: -5568*sqrt(3) + 1937676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.50963 micrometers to centimeters.\nAnswer: 0.006250963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(528)\/sqrt(11))**2 + -4 - sqrt(324)\/(sqrt(24)\/sqrt(2)).\nAnswer: -3*sqrt(3) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 b when two letters picked without replacement from {q: 2, b: 1, i: 1, d: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3952701 to four dps.\nAnswer: 0.3953","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*d**2 - 24*d**2 - 32*d**2 - 27*d**2 + 140*d**2 - 29*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a century?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**8\/6720 + z**7\/420 - z**5\/40 - z**4\/4 + 2*z. Let i(p) be the third derivative of b(p). Calculate i(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 145, 309, 473, 637, 801, 965?\nAnswer: 1129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 26 - 11 = -4*x - 27, 4*x = -5*s - 51 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9260 = 5*h - 5*w, -540*h + 541*h - 1812 = -4*w. Calculate the remainder when h is divided by 586.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -60805, -68906, -77007, -85108, -93209?\n\"Answer: -8101*s - 52704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1553031*b*r + 70968*b - 2 wrt r.\nAnswer: -1553031*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 10*t**2 - 142. Let w(s) = 10*s**2 - 138. Calculate 5*f(b) - 6*w(b).\nAnswer: -10*b**2 + 118","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4aa833 - -2?\nAnswer: 4aa835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -182, 0.3, -2\/7, 4, -2?\nAnswer: -182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-9))\/((-6)\/(-27)). Suppose -f*i = -0*i + 70. Let y = 77 + i. Calculate the greatest common factor of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + -2 + 1 + 10. What is the second derivative of -3*z + b - 8 + 2*z**3 wrt z?\nAnswer: 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -34659903 or -242619315\/7?\nAnswer: -242619315\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 5:32 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 1383*t - 5403. Is 42 a factor of l(47)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, h: 14}. What is prob of picking 1 b and 2 h?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3a6 - 789a?\nAnswer: -7c73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times -143.2?\nAnswer: 85.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/4 of a millennium?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((10 - 0) + (-551)\/38)\/(6\/(-4)). Solve -3*t + 4 = -u, -w*t - 3*u - 21 = -9 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -96688573334 and 0.02.\nAnswer: -96688573333.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 618*b = -0*v + v + 613*b - 24, b = -3*v - 14 - 10 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -2265100?\nAnswer: -2265088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-7) - (-363)\/(-77). Let n be 23*(-1 + 0\/j). Let y = n - -27. Let o(a) = a**3 - 4*a**2 - 5*a. What is o(y)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 divided by 24.\nAnswer: -37\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 + 21 = -v. Suppose -f = -v - 23. Let p = -36 + f. What is the remainder when 66 is divided by p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 11294580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -94, -89, -82, -73, -62, -49?\n\"Answer: n**2 + 2*n - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u - 2. Calculate j(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4884 is divided by 1199.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 104*r. Let i(g) = -539895*g + 2. Determine i(y(j)).\nAnswer: -56149080*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 4*p + 38, 181 = 6*x - 5*p + 67 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 8*b = 20. Suppose b*p = 3*h - 263, 2*p = 7*p + 10. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 183310 and -18 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -10097012 to the nearest one hundred thousand.\nAnswer: -10100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*m + 40, -140 = -5*q - 9*m + 14*m. Solve 30*k + 6 = q*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106302576 to the nearest integer?\nAnswer: 10310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -7*p**5\/60 + p**4\/24 - 15*p**2 - 5. Let i = -317 + 318. Give b(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*h - 7716 = -19430 - 10434 for h.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2132 is divided by 211?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**10\/z**8)\/(z**(1\/3)\/z*z)**(-14))**(10\/9) assuming z is positive.\nAnswer: z**(200\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - w**2 + 8 - 5 - 3 as y*w**2 + m + b*w and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 2 + sqrt(612) - sqrt(612) - sqrt(612)) + -5)*4.\nAnswer: -24*sqrt(17) - 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3330836 to the power of 1\/3, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 3*f + f)*(-2*f - f + 5*f + (-2 - 2*f + 2)*(-1 + 1 + 2) + 0 - f + 0 - f - 3*f + 2*f + 1913749 + 1389*f - 1913749).\nAnswer: 2768*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 8 - 22. Put -4, 1, g in descending order.\nAnswer: 1, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6115954?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnwnnwww. What is prob of sequence nnw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 2*m - 4*m)*(260*m + 3724 - 3724 + (4 - 1 - 1)*(1 - 1 + m) - 3*m - 3*m + 7*m).\nAnswer: -526*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/4)*f)**12\/((f**(-5\/8)*f)\/(f\/(f*f**(-2)))))**30 assuming f is positive.\nAnswer: f**(1275\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 654890.1 and -0.02.\nAnswer: -13097.802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 170 - 74. Suppose 0 = -3*q - 3 + 6, 4*d - x = 4*q. Suppose 0 = l - 4 + 2. Solve 4*v + 4*c - 17 = 3, l*v - 5*c = -d for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/14? (a) -1 (b) 1\/2 (c) 0 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69 and 33?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*x - 24, 4*k + 6*x + 48 = 2*x. Let t be (-4)\/6*k\/2. Suppose -r = -c + 3, t*c + 4 - 31 = -3*r. Calculate the remainder when 23 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = f - 2*h + 7, -5*h + 35 = 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 3*s - 9 = 4*g, -g - s = -7. Let k(m) = -m**3 - 4*m**2 - m. Let i be k(-4). Sort 0, g, i, -4 in decreasing order.\nAnswer: g, i, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 8*a = s + 2, 5*a = -s - 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -8. Let o(u) = -26*u**2 - 30*u**p + 43*u**2. Let z(j) = -j**2 - j + 1. Let i(b) = -4*b**2 - 3*b + 3. Let r(d) = -i(d) + 3*z(d). Determine o(r(x)).\nAnswer: -13*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2226 or 15574\/7?\nAnswer: 15574\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7*(-14)\/(-441) - -8*(-998)\/(-36). Solve 208*z - x*z + 28 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -14*a + 906. Give q(62).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 122 + -119. Suppose 0 = -q + 2*b - 1, q + 0*b - b = -a. Let g(z) = 2*z - 4*z**2 - 4 + 2*z**3 - 3*z**3 + 0. Give g(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 972629 is divided by 668.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x\/(x**2*x*x))*(x*x**(3\/5))\/x*x)**(-3\/37) assuming x is positive.\nAnswer: x**(-99\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*a + 50 = 0, 0*a + 3*a - 14 = -p. Suppose 98*o - 103*o = -p. Solve t + 10 = -o*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369646?\nAnswer: 2, 184823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/12973 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-11\/7)*t))\/t**(1\/22) assuming t is positive.\nAnswer: t**(235\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 7, -3\/10, -2, -23, 1?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 7*t - 1. Let l(n) = -4*n + 1. Let m = -3189 + 3192. Let s(v) = -3*v - 4. Let x be s(-3). What is m*i(p) + x*l(p)?\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 42 = 3*m, -m - 5*z + 1 = -0. Let d = m - 2. Suppose 0 = 3*y - 9, -3*y + 88 - 359 = -5*c. Calculate the highest common factor of c and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from ccccccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - 0.1. Let u = 9822 - 9818. What is the second biggest value in 3, u, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-10))\/((-2)\/((-90)\/3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4 + ((sqrt(180)\/sqrt(9))\/sqrt(10) + 5 - ((sqrt(128) - sqrt(32)) + sqrt(6)\/(sqrt(3)*-2))).\nAnswer: -5*sqrt(2)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + q**2 + q. Let s be -3 + (-50)\/30 + (-8)\/(-3). What is k(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**3 - 86*j**2 - 57*j + 58. Calculate t(29).\nAnswer: -754","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-15 + -4 - 5) + 25 + -18\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 23011, 23012, 23013, 23014?\n\"Answer: m + 23010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 426*y**2 + 37070*y + 680. Determine m(-87).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5417691?\nAnswer: 3, 1805897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - 42\/(-18)) + 8 + 25\/(-3). Solve r = 36*l + 39 - 39 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/6)\/(2\/(-4)). Let s = 5 + n. Suppose 0 = -0*g - s*g + 6. Solve 2*l = -5*r - g, -3*r + l - 4 = -0*l for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2\/4 - 7*z\/4 + 9\/2 = 0 for z.\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 8:10 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 28 + u + 2*u)*(-9*u**3 + 2*u**3 - 12*u**3).\nAnswer: -57*u**4 - 19*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -1301140661?\nAnswer: 1301140666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6718 + -6718. Solve -11*a + 7 = -10*a - s, z = -a + 3*s + 17 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4037\/3, -3, -0.03 in descending order.\nAnswer: -0.03, -1, -3, -4037\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -6*g**2 - 79*g - 18. Let o(t) = -3*t**2 - 40*t - 8. Calculate 9*o(b) - 4*r(b).\nAnswer: -3*b**2 - 44*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -266, -546, -800, -1016, -1182, -1286, -1316, -1260?\n\"Answer: 2*k**3 + k**2 - 297*k + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2036 - 1526 + 777)*(-5*c + 5*c - c) in the form v + q*c and give q.\nAnswer: 2785","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51 + -55. Calculate the least common multiple of 14\/(-2)*(3 + -4) and ((-30)\/d)\/1 + 35\/70.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5614 - p**3 + 5658 + 2*p**3 as k*p**3 + t + s*p + a*p**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8778269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*m - 6 = 2*m, 0 = -5*m + 25. Let f(k) be the third derivative of k**4\/4 - k**3\/6 + 3*k**2. List the prime factors of f(u).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**4\/4 - 7*z**3\/6 - 5*z - 6. Let u(r) be the first derivative of p(r). Let b(n) = 2*n**2 - 5*n. Calculate -7*b(i) + 5*u(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-3*sqrt(225))\/(sqrt(15)\/sqrt(12)) - ((-4*sqrt(40)*-1 + sqrt(40) - sqrt(40))\/(sqrt(200)*-1))**2).\nAnswer: 96\/5 + 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 - 11275\/10)*-4. Calculate the least common multiple of 33 and 4\/(-52) - n\/(-65).\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -34*c**3 - 6*c**2 + 10*c - 132. Let j(h) = -34*h**3 - 5*h**2 + 8*h - 131. Let b(v) = -5*a(v) + 6*j(v). What is the first derivative of b(q) wrt q?\nAnswer: -102*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*z - 1243 = 2285 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 107486077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/18 - (-939)\/27 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 12 + 0 + 11 - 16*x + x**2. Is 20 a factor of t(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*y**4 - y**2 - 251*y?\nAnswer: 60*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 5*p**2 + 6*p + 5. Let r be o(6). Let s(x) = -8*x + 24. Let y be s(8). Let k be (-16)\/y - 12\/r. Sort 5, k, 1 in decreasing order.\nAnswer: 5, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3 + 14160936*q**2 - 12533242613808*q - 25066541871392.\nAnswer: -4*(q - 1770118)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/4)\/((-20)\/4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*z**3 + 7\/5*z**2 - 16\/5 + 8\/5*z.\nAnswer: (z - 1)*(z + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47.9 * -10.5\nAnswer: -502.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.3 + -1.7. Let f = -223.5 + 227. Let o = f - -0.5. Which is the second biggest value? (a) d (b) 2\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-23)*i*i**(-2\/7)*(i*i*i**(-21))\/(i*i\/(i\/i**20)*i*i) assuming i is positive.\nAnswer: i**(-443\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*b = 12, 10*v - 6*v = 3*b + 12. Is -69 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 20 = -n, 4*j + 8 = -4*n + 24 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 n when four letters picked without replacement from znneenn.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*v + 129*v + 20 = 0, 10750 = 5*s + v. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 3*o. Suppose z + 3*v + 3 = o, -z + 2*v + 4 - 2 = 0. Let p(g) = 1 - 1 - g**2 - g. What is p(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -0.5, -35, 8\/735, -7\/6, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 + 63 = -17*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 490*h - 534*h + 5729196 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9012 divided by 12?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.667166 years in centuries?\nAnswer: 0.04667166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/10)\/((356\/2492)\/(6 - 309\/(-21)))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -162 + 164 + (4 + -6 - 0) + 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*t - 5 = a, 5*a - 3*t = 8. Let y(u) = 14*u**3 - 30*u**2 + 16*u. Let d(z) = -z**4 + z. Let o(f) = a*y(f) + 2*d(f). Factor o(p).\nAnswer: -2*p*(p - 3)**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1701)*-2)\/(((sqrt(35) - (sqrt(35) + sqrt(35)*2 + sqrt(35) - sqrt(35)))*-5)\/sqrt(5)).\nAnswer: -18*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -8*y**3 - y**2. Let s(j) be the third derivative of j**6\/120 - 2*j**2 + 45*j. What is 6*s(m) + v(m)?\nAnswer: -2*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvtfffvffttftfff. What is prob of picking 1 f and 1 t?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = h - 563, 264 = 5*q + 2*h - 1143. List the prime factors of q.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/2 + 14\/10?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3012, -12054, -27132, -48252, -75420, -108642?\nAnswer: -147924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 20*y**2 - 51*y + 3. Let g be u(-17). Suppose 0 = -g*j + 8*q - 4*q + 20, -5*q = 10. Solve -2*n - 3 = j*z + 3*n, 2*z - 15 = 3*n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314292846.\nAnswer: 2, 3, 7, 67, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 6*((-1*sqrt(36))\/sqrt(3))\/sqrt(6)*-6)**2.\nAnswer: 360*sqrt(2) + 2617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8310.4 and -0.02.\nAnswer: 166.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 21, 66, 135, 234, 369, 546, 771, 1050?\n\"Answer: n**3 + 6*n**2 + 20*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3479226*f**4 + 4436849*f - 1?\nAnswer: 41750712*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -590471 + 204579. Let c = r - -385891.9000005. Let g = c - -0.1. What is g rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*t + 5 = 3, -4*f - 4*t = 4. Let z be (f\/3)\/(-1 + 2). Let l(c) = c**3 - c + 1. Let r be l(0). Is z > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 7*j**2 - 7*j - 4. Let l = -5 - 1. Let p be s(l). Let w be p + 1*(1 - 0). Solve 2*k + k + 18 = z, 4*k + 11 = -w*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17036201 and 364.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60106*g**2*u*z**2 + 16*g**2*u*z - 11*g**2*u + 12*g**2 - 10*g wrt z?\nAnswer: -120212*g**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21248542?\nAnswer: 2, 7, 1517753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1312*u + 46*c = 1316*u - 39 - 49, -c - 7 + 2 = -3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - 0. Let f = 316 + -316.1. What is the third smallest value in z, -10, f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 divided by -2?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -277130802 and 206.\nAnswer: -277130596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6743 (base 12) to base 15.\nAnswer: -35bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 225 - 200. Let s be 2\/(-6) - 1505\/(-15). Calculate the greatest common divisor of s and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33.03 + 37.03. What is the closest to 0.03 in 0.01, 1\/6, -0.3, x?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, z: 2}. Give prob of picking 2 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (288 - 576 + 286)*(-3 + 2 + 3)*(0 - 3 + 4)*(-z + 0 + 0).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2738 a factor of 846194855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -363001\/108 - -6723\/2. Let j = -58789\/27 - -2177. Let g = t - j. Sort 2\/11, g, -0.5.\nAnswer: -0.5, 2\/11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-24)\/9) + 15\/72?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1\/11, -1159, -3\/5 in descending order.\nAnswer: -1\/11, -0.2, -3\/5, -1159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2609 (base 10) in base 7?\nAnswer: 10415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/3*-2 - (-598)\/39. Suppose -k*y + 960 = -400. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 315*f**2*s + 6*s + 63 wrt f?\nAnswer: 630*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/15)\/(5\/10).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 (base 13) in base 12?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*u = 60, 2*u + 17 = -4*v - u. Let n(y) = -9*y - 10. Let l(o) = -8*o - 9. Let q(k) = 4*l(k) - 3*n(k). Is q(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*t - 16. Suppose b + 24 = t*i, 2*i + 5*b = -0*i - 10. What is the second derivative of -a**5 + 0*a**i + 2*a - a**5 wrt a?\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4301 - 9569 = -25*o + 118*o + 7659 for o.\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhiohhihhhiioihoi?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 1201, 1\/2, 1\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11918.151 rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77 - -71. Calculate the smallest common multiple of (p\/8 - 0)*(20 + -24) and -12*((-1)\/(-3) - 1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 155102428*y**4 - 75823795 wrt y.\nAnswer: 620409712*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 + -31. Solve 5*b**2 - 15*b + 5 - z = 0 for b.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**4 - 2203920*j**3 + 68319658*j**2 - 66115740*j = 0.\nAnswer: 0, 1, 30, 1101929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3329540 or 3329512?\nAnswer: 3329512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -2*l - 3*j - 10, 5*l = 5*j + 10 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31.2 + -73.4. Let h = y + 105. Let d be (6 + -6 + -2)*(-1)\/4. What is the nearest to d in h, -2\/7, -6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -411*x + 388*x = -92736. Calculate the smallest common multiple of x and 1344.\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1450 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9.4742*-0.8\nAnswer: -7.57936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3\/7834 + -140577\/1135930. Which is greater: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(1\/4)*p))**(-11)\/((p**2\/p*p)\/p**4))**(25\/2) assuming p is positive.\nAnswer: p**(1575\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -19*v - 5. Let h(z) = 1537*z**2. Give s(h(k)).\nAnswer: -29203*k**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from boyoboyyeodd. Give prob of sequence bbeo.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/7)\/l**(-23\/2))**(-12))**36 assuming l is positive.\nAnswer: l**(-34344\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -9 - 11 + z**2 + 38 - 2*z**2 - 7*z. Let y be o(-9). Suppose y = -4*x - 8*x + 1932. Does 21 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**3 - 22*s**2 + 4*s + 13. Give t(11).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1204 - -3725. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 10:45 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 + 2*t - 2. Let g be n(-2). Suppose -z = -4*a - 6 - 1, 0 = -g*z + 5*a + 14. Suppose z = 4*k - 1. Solve k*m + 6 + 2 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 a factor of 5576046966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42542 by 17.\nAnswer: -42542\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 + 28. Let q = 14 + 3. Calculate the highest common divisor of q and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 86 + -80. Let p = 50 + -55. Which is the closest to 1? (a) p (b) -1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2)\/(q**(1\/8)\/q))\/((q*q\/(q**6\/q*q))\/q*q**(1\/5)*q*q) assuming q is positive.\nAnswer: q**(67\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 3*n = -11, -2*p + 0*n + 4*n + 8 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 253669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = w - 120. Suppose 3*t = -w - 27. Let z = 33 + t. What is the least common multiple of 14 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1764 + 1755. What is the fourth biggest value in -0.15, l, -2, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*i + 4 = 41*i. Let j(m) = m**3 - 3*m**2 - m - 9. Let w be j(i). Solve 0 = 4*n + w*s - 4*s, 0 = -4*n + 5*s for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480*w + 6423 + 19771 = 4295 - 10261 for w.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (-3)\/((-6)\/(-4)). Let z(x) = x**2 - 3*x - 6. Let w be z(5). Suppose -5 = w*i - 1. Is i < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(102) + sqrt(102))\/sqrt(6) - sqrt(170)\/(sqrt(70)\/sqrt(7)))**2 + 2)*5*1.\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -a**6\/120 + a**5\/60 + a**4\/24 - a**3\/6 + 5*a**2. Factor m(w).\nAnswer: -(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**3 - 2*y**2 + y - 6. Let h be c(2). Let d = 49 - 25. Suppose -2*n + d = -8*n. Sort n, -5, h in decreasing order.\nAnswer: h, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 4, 17, 38?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/8 and (-8)\/(-4) + -185*5\/90?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jvvuvqquj. What is prob of picking 1 u, 1 q, and 1 v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 - 0.5. Let j = -0.08 + u. Do j and 0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95482?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 5:08 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 3 + 23 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.030525 and 2.\nAnswer: -0.06105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 188 and 326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + -5*sqrt(18)\/sqrt(6) + ((sqrt(162)\/sqrt(6) + sqrt(27))\/sqrt(9)*5)**2).\nAnswer: -10*sqrt(3) + 596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 58 = 16*d - 3*w, -d = -5*w + 22. Let t = -38 + 2. Is d at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009154 to 7 dps.\nAnswer: 0.0000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 747*u - 5. Let q be f(4). Let m = q + -4883. What is m rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 28 = 4*k. Suppose 11 = 3*g - 4*l + 8*l, 0 = 4*l - 20. Let b = k + g. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 + 57 + 3 + -9?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3780621 to the nearest integer?\nAnswer: 1944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + -2. Let c = 7 + u. Let l(y) = -y**3 + 3*y**2 + 6*y - 6. Let k be l(c). Sort k, 3, 1 in increasing order.\nAnswer: 1, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5847 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i**2 + 2*i + 4. Suppose -5*v - 15 = -2*v. Let k(d) = 6*d**2 + 2*d + 5. Let s(q) = v*u(q) + 4*k(q). Factor s(b).\nAnswer: -b*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*i + 7, -3*i - 5 = -8*i. Solve 0 = d + x*r - 6, -3*d + 2*r - 10 = -0*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/442 and 38\/143?\nAnswer: 4862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or 3\/5470?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 17.1. Let q be (6\/1)\/1 + -2. Put q, 0.2, x in increasing order.\nAnswer: x, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-75)\/(-5375)*43)\/(2\/40)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -24404544.14 to the nearest one thousand.\nAnswer: -24405000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0\/(j*j**2))\/(j**(2\/7)\/(j**(3\/2)\/j)) assuming j is positive.\nAnswer: j**(-39\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2888*k**2 + 102*k**4 - 2888*k**2)*(1 - 1 - 2) - 4*k**4 + 3*k**4 + 3*k**4 - 27*k + 21*k**4 + 27*k.\nAnswer: -181*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5*3*sqrt(110) + -4*(sqrt(110) - 3*sqrt(110)))\/(sqrt(1000)*1*-1 + sqrt(1000) + (sqrt(1000) - (sqrt(1000) - sqrt(1000)*1*6))).\nAnswer: -7*sqrt(11)\/60 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-33067)\/(-4) - -2*16\/128.\nAnswer: 7, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 742.469 litres in millilitres?\nAnswer: 742469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -266898578 + -0.4620144?\nAnswer: -266898578.4620144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -9 - 4 + 11 + 104*m - 4 - 34*m. Calculate t(-1).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2159511?\nAnswer: 3, 41, 97, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13451 - 13452. Is 1917 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -249 + 253. Solve g*m = m + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 714 times 1\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -5 (c) 1 (d) 0 (e) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - 610751030452?\nAnswer: -610751030431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 2:49 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x = -50 - 46 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -11. Let i = 1 + o. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**5 - 7776*n**4 + 5007600*n**3 + 40560000*n**2 = 0.\nAnswer: -8, 0, 1300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -1\/4*d**4 + 13\/3*d**3 + 7 - d**2 + 32*d. Let r be a(13). Solve t = -t - r for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7751 (base 11) to base 5.\nAnswer: -311340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -154565 (base 9) in base 2?\nAnswer: -10111010000000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80002.\nAnswer: 2, 13, 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304)*-1 - sqrt(19))**2 - (1*sqrt(1900))**2)*5.\nAnswer: -7125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 577971570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**4 - 4*t**4 + t**4)*(-4 + 4 - 6*t + (-3 + 38 - 110)*(t + 2 - 2)).\nAnswer: 81*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*(z\/(z\/(z\/z**(-12))))\/z*z*z\/(z*z**(1\/25)*z) assuming z is positive.\nAnswer: z**(349\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-104)\/3744)\/(6\/(-162)*129)*-8\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4554 minus 5641654?\nAnswer: -5646208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4579*t**2 + 242 - 441 + 199)*(0 + 0 - t)*(0 - 5 + 3).\nAnswer: -9158*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhhhcchhflfhfcnch. Give prob of picking 2 h and 1 c.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1385003942?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1167*g*y + 2*g - 15898*y wrt g.\nAnswer: -1167*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z**2 + 8*z + 6. Is c(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 6 = -3*c, -9 = -4*j + 3. Factor 8*m**2 - 16 + 0*m**3 + 4*m**3 - 16*m - c*m**2.\nAnswer: 4*(m - 2)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 690298201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 401130077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (145*f + 280*f + 323*f + 235*f)*(-2 + 0 + 1) as o + q*f and give q.\nAnswer: -983","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*j = -47, j + 195 = 5*s - 4*j. Let q = s + 15. Suppose 131 - q = f. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - l - 39. Let j be -2*((-6)\/4 - 0). Suppose -5*o - j*s + 43 + l = 0, -18 = -o - 4*s. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -75*k**3 - 3448*k**2 + 92*k = 0. What is k?\nAnswer: -46, 0, 2\/75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 6:56 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**3\/3 - k**2\/2 - k - 1. Let z be d(2). Let v(u) = 3*u - 2. Let a be v(2). Sort z, -5, a in decreasing order.\nAnswer: a, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(432) - (sqrt(432)*1 + sqrt(432))) + -2)**2 + (sqrt(36) + sqrt(108)\/sqrt(3)*1)\/(2*sqrt(12)*1).\nAnswer: 49*sqrt(3) + 431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - c - y - 3648 = 0, 5*c + y - 18228 = 0. What is the thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 730856 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/30 + 54\/(-360). Which is the fourth smallest value? (a) g (b) 1 (c) -2\/9 (d) -149\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 6 = -2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*k - 23*k + 770 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 m when two letters picked without replacement from mmmmmvmmvmmmmjmmm.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2066 and 142.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*j**3 + 19903925*j - 174492554 wrt j?\nAnswer: 18*j**2 + 19903925","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((-4)\/(-344)*-2). Let z = m + -82. Solve 3*y = -2*l + 1, z = 3*l + 5*y + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9374, -17, -1 in descending order.\nAnswer: 1\/9374, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 58*q**2 + 16585*q + 324. Let z be r(-161). Solve 1\/9*w**z + 7\/9*w + 4\/3 = 0.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -58228039 greater than -58228040?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 3*y**2 - 2*y - 4. Let c be r(-3). What is the second derivative of 5 - 5 - 2*d**4 - c*d wrt d?\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0, -2\/9, -3 in descending order.\nAnswer: 0.1, 0, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-7) - (-46)\/(-14). Let l(h) = 10*h**2 + 2*h - 3. What is the tens digit of l(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9863855 to the power of 1\/3, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.40886 years to decades.\nAnswer: 5.340886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 46 + -1651?\nAnswer: -1604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 2621001139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 9*m**2 + 9*m + 16. Let a be u(-8). Let j be (a\/(-6) + 2)*15. Is j\/(5\/25*2) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from iiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 + 4*g**3 - 4*g**3)*(9 - 76*g - 3*g**2 + 76*g) + (0 + 0 - 3*g)*(-g**4 + 0*g**4 + 3*g**4) + 3*g**5 - 3*g**5 - 2*g**5.\nAnswer: -5*g**5 - 9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g + 0*g + g - 2*g + 50 - 53 - 8*g + (1 - 3 + 1)*(-3*g + 6*g - 2*g) + 2 + 2*g - 2 - 1 - 4*g + 1 + (g - 3*g + 3*g)*(3 - 3 - 2) as o + z*g and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2085 rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1847 + 2598. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 116925 = -5*o, 0 = -4*o - 2*q + 15034 + 78512. What is the highest common divisor of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 637811261 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 3*c - 1001, 433 = 5*n + 5*c - 572. Differentiate 212 - 199*p + n*p - p**2 - 3*p**4 with respect to p.\nAnswer: -12*p**3 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 0.3 (c) 705579\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-15)*2*-5. Suppose 2*c = 4*c - k. Let u be c\/(-14) - (-144)\/28. Let j(p) = p**2 - 4*p - 2. What is j(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1358552430 to the nearest integer?\nAnswer: 1108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 0)\/(2\/(3\/3)). Suppose a = -s + 2*s - 3. Suppose 0 = -s*o - 26 + 86. Is 14 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**2 + 25*j - 18. Let d(p) be the first derivative of 4*p**3\/3 + 37*p**2\/2 - 27*p - 3. Let c(v) = -7*a(v) + 5*d(v). Does 4 divide c(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -109, -226, -345, -466?\n\"Answer: -h**2 - 114*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 + -4)\/(((-2)\/3)\/((-13)\/(-39))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 452990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -2c?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16605761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45975418?\nAnswer: 2, 31, 347, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2120\/318*30\/9*6\/25. Let x(l) be the first derivative of 12 - 121\/6*l**4 + s*l + 44*l**3 + 28*l**2. Suppose x(b) = 0. Calculate b.\nAnswer: -2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b + 0*b - 2*b - 8*b + 26*b**3. Let s(j) = 13*j**3 - 2*j. Determine -2*l(r) + 5*s(r).\nAnswer: 13*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 (base 11) in base 8?\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2663.7 - -2664. Which is the nearest to 74? (a) -0.2 (b) -3 (c) 5 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - o = 3*o - 1, 5*v + 5*o = -10 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.133 to 1 decimal place.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10, k: 4}. Give prob of picking 2 k and 2 r.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -1 + d**3 - 5*d**3 + d**2 - 2*d**3. Let l(p) = -4 + p - 5 + 4. Let g be l(6). Calculate r(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express u - u - 3*u**4 + (1 - u - 1)*(-2*u**3 + 4*u**2 - 4*u**2) - 3*u**3 + 3*u**3 + 18*u**4 in the form q*u**2 + s*u**3 + l + b*u**4 + x*u and give b.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 602913538 to the nearest integer?\nAnswer: 24554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163280003 = 38*h - 42*h - w, -h = -3*w - 40819991. What is h rounded to the nearest one million?\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 12*c**2 - 13*c + 3. Let j be r(-13). Suppose 0 = 4*g - j*g + 3*z - 10, -2 = -g + z. Put 2, -3, g in ascending order.\nAnswer: -3, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 t when four letters picked without replacement from {t: 16, i: 4}?\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(34)*-4)\/sqrt(2).\nAnswer: -4*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.419779265 + 47.782459065. Let q = 99.6373299 + x. Let r = q - 147. What is r rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 16 + -8 + (-5 + 21 - 15).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3179*r + 6381*r + 1568 = 3174*r for r.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 35480178.\nAnswer: -1\/17740089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3898 - -0.02285465389.\nAnswer: 3898.02285465389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -356*a**4 + 4*a + 12?\nAnswer: -4272*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 2*b - 18 - 9, -4*b + 5*x = -59. What is the smallest common multiple of 6 and b?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(660\/(-225)))\/(6\/(-12)*-1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63 - 214. Let a = 155 + u. Solve a = m + 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, x: 2, t: 7}. Give prob of sequence tt.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1444 + 21?\nAnswer: -1423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220.0157 centuries to millennia.\nAnswer: 22.00157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/17 - 11971422*x\/17.\nAnswer: -2*x*(x + 5985711)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 8:12 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, -1, -39.\nAnswer: -58, -39, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113410442 (base 6) to base 2.\nAnswer: 1000001000100001111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2999 - -2982. Sort 1, 11, y in ascending order.\nAnswer: y, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 11:53 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -32, -33, -36?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5250 + -5264 + (31 - (0 + 3 + -3) - 3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -ab5 (base 15) in base 5?\nAnswer: -34140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/9 - 55\/(-99).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 5*c + 25, -16*c + 23 = -3*o - 21*c for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10980 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -16*a - 10. Let l(f) be the second derivative of -5*f**3\/6 - 3*f**2\/2 + 15*f. Determine 10*l(n) - 3*s(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 525 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -6*w**2 - 6*w - 41. Let a(h) = -17*h**2 - 17*h - 122. What is -3*a(p) + 8*s(p)?\nAnswer: 3*p**2 + 3*p + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, d: 4, k: 4}. What is prob of picking 3 k?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 102474609 or 102474610?\nAnswer: 102474609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 704 - -a06?\nAnswer: 160a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4135 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: Which is bigger: -8265386 or -8265396?\nAnswer: -8265386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*l = 264. Let o = 36 + l. Suppose -5*t + 364 = 3*u, 0 = t - 2*t + o*u + 80. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1\/4))**(-2\/45)*k**(-3)\/k**4*(k\/(k*k*k*k*k**1*k*k))**(-47)*k*(k**(-2\/9)*k*k)\/k*k**(-2) assuming k is positive.\nAnswer: k**(24727\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3\/3 + 25*i**2\/3 - 20*i - 60.\nAnswer: 5*(i - 3)*(i + 2)*(i + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -161690, -160128, -158568, -157010?\n\"Answer: -i**2 + 1565*i - 163254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + -1 + sqrt(28) + 0 + (0 + sqrt(448) - (sqrt(28)\/sqrt(4) + 2)) + 2.\nAnswer: -1 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*b**3 - b**2 + 102 wrt b.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-216)\/840 + (-3)\/21.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0.2 (c) -0.3359 (d) -0.3 (e) -5 (f) 2 (g) -2\/107\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.27088 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 77*u**2 - 18*u - 14. Let h(j) = -90*j**2 + 19*j + 15. Let o(x) = 6*h(x) + 7*r(x). What is o(-5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 23*c - 122. Let n be m(-14). Suppose 0*b = -2*b + 4. Factor -n*f + 5\/2*f**2 + b - 1\/2*f**3.\nAnswer: -(f - 2)**2*(f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 divided by -15.\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 669736 and 1?\nAnswer: 669736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-6) - (-120 - -120).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2519027*n**5 - 2*n**3 + 16396106*n wrt n.\nAnswer: -50380540*n**3 - 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**3 + 6*i**2 - 7*i + 6. Let v(h) = -3*h**3 + 5*h**2 - 6*h + 5. Calculate -6*o(s) + 7*v(s).\nAnswer: -3*s**3 - s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -7*b**2 - 42*b - 787. Let d(w) = -7*w**2 - 41*w - 622. Let p(s) = -5*d(s) + 4*m(s). Calculate p(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**3 - 7 + v**3 + 7*v**2 - 3*v**3 - 8. Let z(b) = 2*b**3 - 3*b**2 + 7. Determine -4*u(g) - 9*z(g).\nAnswer: 2*g**3 - g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 12 + 2 + (0 - 2 + 0)*(-1 + 0 + 2) + 1 - 8 + 8)*(-2*z**3 + z**3 + 11*z**3).\nAnswer: -130*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v + 2*y = 9*v - 8, 0 = 5*v + y - 9 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.335 and -25504?\nAnswer: -8543.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n + 9. Let a be (14\/(-6))\/(1\/(-3)). Let d be z(a). Let l(b) = -2*b**2 + 3*b - 3. Determine l(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 213589554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -329 - 237 = -2*a. Let k = -88 + a. Suppose 123 = -u + 4*u + 3*f, 0 = -5*u - 3*f + k. Does 18 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 7*a + 3. Let s be n(-7). Let q(b) = -b + 5*b - s*b + 2*b. Let m be -1 + 2*1\/(-2). Let j(c) = c. Give m*q(f) + 5*j(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 975*s + 6*s**2 - 5*s**2 + 5*s**2 - 3*s**2 - s**3 - 4*s**2 to the form c*s + g + y*s**2 + n*s**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -47*n + 4. Let a(r) = r**2 - 25*r + 42. Let o be a(23). Let b(f) = 45*f - 3. Let x(s) = o*b(s) - 3*p(s). Let g(v) = -3*v**2. Determine x(g(k)).\nAnswer: 117*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3204283903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5020\/280 + (-19 - -1).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 4*f - 5. Let t(w) = 3*w**2 + 13*w - 15. Let c(k) = 17*o(k) - 6*t(k). Calculate c(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -15, -1, -5\/7, -0.1 in decreasing order.\nAnswer: -0.1, -5\/7, -1, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.9209 and -0.4?\nAnswer: 0.5209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 13*j + 26. Let r(n) = -n**2 + 12*n + 25. Let u(c) = 7*r(c) - 6*t(c). Let l be u(8). Suppose 0 = -a - l*a + 212. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g**(-1\/3)*g)\/g))**20\/(g**24\/g*(g\/((g\/((g*g**(-13))\/g))\/g))\/g))**34 assuming g is positive.\nAnswer: g**(1700\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7456\/111 - 813491\/2109. Let s = 453 + q. Which is bigger: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n - 14*n = 24. Suppose -n*z = -5*z + 48. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 170489078 and 3874?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3184 and 7164.\nAnswer: 28656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/20)\/((16983\/5550)\/153)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 160203?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*v - 5*v. Let n be (32\/168)\/(v\/7). Let z = -61 - -58. Which is the second biggest value? (a) z (b) 3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -239 + 235. Let o = 3.1 - 3.2. Which is the nearest to o? (a) y (b) -3 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2704.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5747449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25599, -4.2, 4.\nAnswer: -4.2, 4, 25599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m - 39*m - 8*m = -494 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 194 + -137. Let y = g + -25. Suppose 0*d + 2*d + 3*f = y, -36 = -2*d - 4*f. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1*q**(-11)*q)**(-1\/28))**11 assuming q is positive.\nAnswer: q**(99\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 15*a + 25, -5*a = 74083 - 74078 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 3*m - 3*m)*(1 + 4 - 2) + 5*m - 2*m + 0*m + (0 + 0 - 2*m)*(-5 + 4 + 2) + m - 3*m + m - 3*m + 2*m + 2*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 2*g - 696 + 689 = 0, 0 = -b + 5*g - 19 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 r when three letters picked without replacement from rvxoovo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 7*f - 61, -74*w + 4*f - 47 = -71*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17545*g**4 + 31736*g**2 wrt g.\nAnswer: -421080*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.28 + -2.1. What is t rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.7 != 75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8124231.\nAnswer: 3, 2708077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2866.081 years in decades?\nAnswer: 286.6081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.095 in -15, -77, -1\/7, 0.3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10688 - 10377. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 3*i**2\/2 + 3*i + 21. Determine f(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 6*t**2 - t - 2. Suppose -4*r + 2*l + 19 = 3, -3*l = 5*r + 2. Suppose 4*y - 10 = 5*c, -r*c = 2*c - 3*y + 7. Determine f(c).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 200\/32 + (-1)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 34 = -2*j - 0*o, 0 = 3*o - 9. Let d be ((-2)\/4)\/(j\/(-84)). Suppose -4*t - d*x + 0*x = -54, -5*x = -10. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 divided by 13213.\nAnswer: 58\/13213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.69 + -0.69. Sort -0.3, y, 2\/5 in descending order.\nAnswer: y, 2\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4935 divided by 47?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 - -347. What are the prime factors of n?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -s - 60, 514*u + 516*u + 4*s - 82 = 1037*u + 5*s for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.033 - 0.033. Let o = 10 - 15. What is the third biggest value in -3, r, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -85*k*n**3 + 5*k*n**2 + 985*n**3 wrt k?\nAnswer: -85*n**3 + 5*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jqj when three letters picked without replacement from {j: 10, q: 7, k: 1}.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 205?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1289 is divided by 436?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 364120556 to the nearest integer?\nAnswer: 19082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 645776288?\nAnswer: 2, 20180509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of 0 - 1\/32*k**5 - 3*k**3 + 16*k**2 + 0*k - 1\/120*k**6 - 1\/32*k**4. Let x(j) be the first derivative of m(j). Factor x(z).\nAnswer: -3*(z + 1)*(4*z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 4*a + 28. What is the remainder when s(0) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -13. What is the third smallest value in -4, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 104396, 104380, 104338, 104258, 104128?\n\"Answer: -2*l**3 - l**2 + l + 104398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 3*c + 4 + 23*c.\nAnswer: 20*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/((-192)\/(-2240)) - (-4)\/(-24)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/(-120))\/((2\/(-12))\/((-111)\/(-2331))).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -98 and 798.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -278, -554, -830, -1106, -1382, -1658?\nAnswer: -1934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/5 - 84\/(-10). Let x(n) = -n**2 + 8*n + 9. Let i be x(t). Suppose 0 = z - i - 26. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, o: 1, d: 6, l: 2}. Give prob of sequence laoa.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-182)\/(-28))\/((-1)\/2) + 5. Let x be 2\/i*(40\/9)\/2. Let r = 1.9 + -2. Which is the second smallest value? (a) x (b) -1\/3 (c) -0.5 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 208*g - 140*g + 332*g as v + l*g and give l.\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u - 5. Let g(m) be the third derivative of m**4\/24 + m**3 - 13*m**2. Let c(v) = -6*f(v) - 5*g(v). Let q(p) = 15*p**2. Give c(q(j)).\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 897, -381, -2511, -5493, -9327, -14013, -19551?\nAnswer: -25941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 285321 and 10758?\nAnswer: 1023161106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 22 * -1\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/777 and 35\/27.\nAnswer: 6993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/9356823 and 76\/14703579.\nAnswer: 102925053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 354 + -1 - (0 + 1). Let p be (-59718)\/(-170) + (-54)\/(-90). Let q = k - p. What is the smallest value in 0.2, q, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -289 + 352. Suppose 24 = -g*c + 65*c. Solve -c = -13*z + 14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43122.593 + 0.118705\nAnswer: 43122.711705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z + 13 = 41. Suppose -99 + 259 = z*d + 5*a, 5*d - 5*a = 365. Calculate the highest common factor of 100 and d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 8:53 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 15*r**3 - 362*r**2 + 53*r - 105. Give y(24).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1044444086 divided by -41\nAnswer: -25474246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8, 15, 36, 77, 144, 243, 380?\n\"Answer: k**3 + k**2 - 3*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 - 5)*(1 + 5). Solve -5*o = -25, -2*f + r*f + 3*o = 23 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - s + 2. Let q be w(4). Let x = q + -8. Let z(f) = -f**4 - f**3 + 6*f + 6. Let d(l) = l + 1. Let n(h) = x*d(h) - z(h). What is i in n(i) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (580\/(-984))\/(-5) + 7\/(-42). Put -1, 0.1, v, -2\/7 in descending order.\nAnswer: 0.1, v, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i + 5*i**2 - 2*i - 4*i**2. Let k(q) = 6*q**2 - 9*q - 1. Let f(r) = -8*r**2 + 27*r - 14. Let j(m) = f(m) + 3*k(m). Give h(j(p)).\nAnswer: 100*p**4 - 340*p**2 + 289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -30 - -ed82e2?\nAnswer: ed82b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 48 = 8*d, 4*d + 2*z - 5 = 23 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 0.4, 0, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8636)\/(-340) - 25)\/((-1)\/(-2)). Factor 6\/5*n**4 + 6\/5*n - 2\/5*n**5 - 2\/5 - r*n**2 - 4\/5*n**3.\nAnswer: -2*(n - 1)**4*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j. Let z be o(-2). Suppose 3*d - u = 90, -4*u - 54 = -z*d + 6. Suppose d = -0*v + 6*v. Put 0, -4, v in descending order.\nAnswer: v, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80 - 111.5. Let k = -31 - y. What is the second smallest value in k, -1\/6, -2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 15, -1\/4, -2\/11, 6\/47, 5, -0.9?\nAnswer: 6\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**7\/1260 - j**4\/24 + 3*j**2. Let c(d) be the second derivative of h(d). Let g(p) = 2*p. What is g(c(u))?\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10902*g - 11107*g = 25010 for g.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1260 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 10242492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -61769, -123536, -185303, -247070, -308837?\n\"Answer: -61767*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 smaller than 444\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-18) + (-30)\/(-216)*2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, r: 2, b: 1, i: 2, t: 1}. Give prob of sequence ri.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3523 is divided by 1724?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 429007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 204 = 199 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 32668288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -439, -438, -435, -430, -423, -414?\n\"Answer: t**2 - 2*t - 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 p when two letters picked without replacement from rrhprphh?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128903.\nAnswer: 128903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 9 + 12*r + 9 + (1 - 2 + 3)*(r - 2*r - r) as j*r + n and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eciccieeiheicihicie. Give prob of sequence iihi.\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 9) to base 11.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-87345)\/30 + 6 + 66\/(-12). What is u rounded 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 20131, -12813, -45757?\nAnswer: -78701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a millisecond in microseconds?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-611)\/(67*975\/10050)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p. Let r(c) = 31548*c + 82. Calculate r(x(t)).\nAnswer: -31548*t + 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*b**5 - 124*b**4 - 144*b**3 - 44*b**2 + 8*b = 0. Calculate b.\nAnswer: -2, -1, 0, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*q - 1040 = -87*q. Solve -q*t + 1521 = 1526 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*b**2 - 3*b**2 - b**2)*(-10 + 132*b - 70*b - 66*b) - 108*b**2 - 23*b**2 + 693*b**3 - 691*b**3 to y*b**3 + w*b**2 + m + q*b and give w.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 336722 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 7:10 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0042800826 rounded to 5 decimal places?\nAnswer: 0.00428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(75) + -1 - (sqrt(75) + sqrt(75) + 0 + sqrt(75) + -4 + sqrt(75))**2 - (-3 + sqrt(75)*-3 + 5)**2)*-4.\nAnswer: -900*sqrt(3) + 7584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1659212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 48\/(-36)*18\/(-8). Let d = 8 - 4. Solve 3*k - 7 = j, -d*k - 8 = i*j - 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66578151.\nAnswer: 3, 22192717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2668, 5342, 8016, 10690, 13364?\nAnswer: 16038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-37)\/(-4) + 8\/4)*4. Let p be 66\/(-4)*(-150)\/j. Suppose -3*t = -p - 53. What is the greatest common divisor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 6:14 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iz when two letters picked without replacement from {i: 4, w: 1, z: 6, f: 3}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -308 in 94, 1, -0.064?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10011 - 10?\nAnswer: 10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12.2271666 times 4\nAnswer: -48.9086664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*2*427\/(-14)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1165294116 to the power of 1\/3, to the nearest integer?\nAnswer: 1052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 396554069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 376*o**3 - 86*o**3 - 67*o**3 - 97*o**3 - 80*o**3.\nAnswer: 46*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9970?\nAnswer: 2, 5, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -749\/11 - -12347\/176. Let i be -3 + (-5563976)\/(-1440) + 2\/(-9). Let u = i + -3864. Find the common denominator of q and u.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -140*v - 1526 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 13) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 not equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*t + 30 = -53*t. Solve 3 = -t*o + 2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 1782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**3 - 4*s**2 + 3*s - 8. What is g(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((36\/6)\/(-6))\/(((-3)\/(-27))\/((-12)\/12))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-129)\/165 + (-1)\/(22\/(-4)). Sort -1, 0, -0.1, c.\nAnswer: -1, c, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-6)*90\/420\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 12 = 3. Let s(u) = -5*u - 6 - 7*u + 5*u. Let w(m) = 8*m + 7. Determine l*s(z) + 4*w(z).\nAnswer: -3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lgl when three letters picked without replacement from lgll?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -5*b + 2. Let z be (-12)\/5 + 4\/10. What is the remainder when g(z) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-454440)\/(-91) - 10\/(-65)?\nAnswer: 2, 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*x - 202*x**2 + 2*x + 67*x**2 + 68*x**2 + 73*x**2 to the form k + d*x**2 + g*x and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + x - 5. Let g be v(6). Let p = -19 + g. What is the remainder when 87 is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -151\/6 - -49\/2. What is the closest to i in 0.2, 15, -6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 28309343 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microsecond in nanoseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3*w + 0)*(-2*w**3 + 0*w**3 + w**3) + 87*w**4 + 128*w**3 - 45*w**4 - 44*w**4 as m*w**2 + o*w**3 + u + a*w + z*w**4 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 + 214*f\/5 + 43\/5.\nAnswer: -(f - 43)*(5*f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w\/(w*w**(3\/10)*w)*w)\/(w*w*w\/(w**(2\/3)\/w)))**(-1\/6)*(w**(-1)*w)**(-2\/123)\/(w\/w**(-2\/5))**(-3) assuming w is positive.\nAnswer: w**(161\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3 - 2. Suppose 0*q = -q + i. Suppose -r + 0*z - 4*z = -3, -2*z - q = 3*r. Is 1 <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -j**2 + 2*j + 3. Let c(r) = -3*r + 3. Let t(m) = -5*c(m) + 7*l(m). Differentiate t(h) with respect to h.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 5:13 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 3*x + 21, 85*x - 87*x + 14 = 2*c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of 4*a**4\/3 + a**3\/3 + 70*a**2. Let l = 4 + -2. Does 15 divide m(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (158960\/(-64))\/(13\/(-52))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87*w**2 - 82*w**2 - w**4 + 9*w - 7*w + 3*w**3 + 3*w**3 + 12 to the form a*w**4 + s + b*w**2 + f*w + v*w**3 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + 4. Let u = -9 - -12. Suppose 3*q = 15 - u. Calculate the remainder when z is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 299651, 299671, 299691, 299711?\nAnswer: 299731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 22 * -429\nAnswer: -9438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 10*x + 100. What is g(15)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -216666550*f**3 - 289*f**2 - 123714*f + 1.\nAnswer: -1299999300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2397*a**2 + 6151*a**2 - 20*a + 5 + 212*a - 4.\nAnswer: 8548*a**2 + 192*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 213, 417, 615, 807, 993, 1173?\nAnswer: 1347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 66133 times 0.3?\nAnswer: 19839.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**2\/(m*m\/(m\/(m**(-4)\/m*m)*m)))\/((m**(3\/4)*m)\/m**2))\/(m*m\/m**3*m*m**7*m*(m**0\/m)**8) assuming m is positive.\nAnswer: m**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -15 + 0*p - 11\/3*p**3 - 8*p**2. What is the second derivative of b(z) wrt z?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 2240*a**3\/3 + 2886*a - 3158. Differentiate k(w) wrt w.\nAnswer: 4480*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22208 (base 12) to base 3.\nAnswer: 2022000222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/9*6\/20. Which is greater: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -369, -0.07, -0.3, -2 in ascending order.\nAnswer: -369, -2, -1, -0.3, -0.07, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 3.84, -1, -1.8, 277, 1\/3, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2388 is divided by 140.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n**2 + 3*n - 3*n)*(2 + 2 - 7) + (-n - 2*n + n)*(-n - 2 + 2) + n**2 - 2*n**2 - 2*n**2 to the form r*n + f + o*n**2 and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0493 and -3.715269.\nAnswer: -3.764569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3931 - -2872841?\nAnswer: 2868910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2.476 * -0.66\nAnswer: -1.63416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 14*w - 40. Let n(g) = -3*g**2 + 4*g - 4. Let j be n(1). Let m be b(j). Let h be (-30)\/4*(-4)\/3. Which is bigger: m or h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*h**3*l - 83*h**3 - 15*h**2*l**4 with respect to l.\nAnswer: 4*h**3 - 60*h**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 3:46 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/9*3\/(-2). Let p = 717 + -275. Let d = -442.4 + p. Which is the closest to f? (a) d (b) 8 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**4 - 2*j**3 - 2*j + 6. Let u(p) = -5*p**4 + 5*p**3 + 5*p - 12. Let w(l) = -5*r(l) - 2*u(l). What is the derivative of w(g) wrt g?\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2786 + 366 = -5*b, 2*g + 4*b = -1210. Let v = 544 + g. Is -61 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -881830, -881829, -881828, -881827, -881826, -881825?\n\"Answer: v - 881831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/725 - -727\/1450. Let c(s) be the second derivative of 0 + 0*s**4 - 1\/3*s**3 + 1\/20*s**5 - 11*s - h*s**2. What is c(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u - 22*z + 181, -4*z - 90 = -u - 121 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1797 and 311835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/300 and 37\/10128.\nAnswer: 253200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 + -28.3. Let l = -0.9 + 1. What is the nearest to l in -1\/6, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1*-3*(sqrt(7) - (-1 + sqrt(847)) - (1*sqrt(700))**2)*6.\nAnswer: -12580 - 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11616 and 244904.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**3 + 6*n**2 - 6*n**2 + 2*n**2 - 2*n**3 - 2*n**2 - 2*n**3 - 4*n**3 + 4*n**3 + (0*n**2 - 3*n**2 + 2*n**2)*(4*n - 6*n + n).\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 610504193?\nAnswer: 13, 271, 173291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20291548?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 15, -6 - 5 = 2*h + k. Let g(o) = o**3 + 4*o**2 - 2 - 2*o**2 + 4*o**2 - 10*o. Calculate the remainder when 33 is divided by g(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*q - 868 = 110*q. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 515817 and 666.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 1377 = 3*w - 571, -4*x + 1948 = -2*w. Suppose -8*c + 266 = z - 3*c, 5*c + x = 2*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 3:42 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhlhhxxlhlhhhuhuhhjh. Give prob of sequence jllj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 0 + 0)*(-12*k + 0 + 0)*(-3 - k + 3).\nAnswer: -36*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 - 3)*(-z - 2*z + 4*z) + (4*z - z - 6*z)*(-3 + 1 + 0 - 2 + 0 + 1 + (4 - 3 - 2)*(0 - 2 + 3) - 1 - 1 + 0) as x*z + l and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -53*m + 86 + 24*m + 18*m + 24*m. Let r be u(-7). Let g(t) = -t**2 - 5*t - 2. Determine g(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/6*m**3 - 4\/3*m**2 + 0 + 5\/2*m = 0. Calculate m.\nAnswer: 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 6*y - 1. Let d be q(2). Let f = 8 - d. Is 326\/(-4)*6\/f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-4*(sqrt(135)\/sqrt(3) + (-2 + sqrt(5)*-2 + sqrt(5))**2 + 1)*2 + 0.\nAnswer: 160 + 112*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 9 = -3*q. What is the least common multiple of q and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2\/7, -1\/5, -1, 338, 0, 2\/5 in decreasing order.\nAnswer: 338, 8, 2\/5, 0, -1\/5, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.124805 and 4?\nAnswer: 0.49922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-219.60451\nAnswer: 87.841804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5306*i + 320697 - 44940 = -228313 for i.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 49 = 5*q, -5*q - 3*x - 55 = 2*x. Let n(w) = -w**3 - 9*w + 3. Is n(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10*71 - (8 - (-10)\/(-2)). Suppose 3*y = -3*a + 2109, -1370 = -3*y + 5*a + u. Is 18 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 5. Let h = m + -1. Let v(u) = -u**2 + 4*u + 6. Let q be v(5). Which is the nearest to h? (a) 4\/5 (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1431 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24.8 - -25. Let m = 6\/149 + 196\/2533. Put m, -0.3, i in decreasing order.\nAnswer: i, m, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4230 and 1266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/26 - 33\/52. Let n = -243 - -239. Which is the nearest to -2? (a) n (b) p (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 3*x + 16, 2*x - 10*o - 16 = -8*o. Let w = -220270\/95877 - -4\/3551. Calculate the common denominator of x\/324*-115 - (-54)\/(-72) and w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -23*r**2 + 0*r**3 + 0 + 0*r + 1\/30*r**5 + 0*r**4. Let m(s) = -16*s**2. Calculate m(p(q)).\nAnswer: -64*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 814, -1, -5, 5 in ascending order.\nAnswer: -5, -1, 1, 4, 5, 814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 954624 to the power of 1\/2, to the nearest integer?\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 110.3706135ns?\nAnswer: 0.00000000000018249109375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3894655 bigger than -3894630?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, -2\/9, 1, 0.02, -0.11?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5*p**3 - 11*p**2 + 11*p + 31. Suppose 760 = 10*o + 800. Let r(w) = w**3 + 2*w**2 - 2*w - 6. Give o*t(q) - 22*r(q).\nAnswer: -2*q**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p + 15 = 9*p, 0 = 3*t + 5*p + 4. Suppose -18 = -4*s - 6. Solve -s*g = -t*g + 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a**(7\/10)\/a)))\/(a**31\/a) assuming a is positive.\nAnswer: a**(-303\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**3 + 0*p**3 + 4*p**3)*(0*p**2 + p**2 - 3*p**2) + p**5 + 3*p**5 - 7*p**5.\nAnswer: -p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -4*t**2 + 164*t - 3133. Give v(21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4162228 a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/4, -0.05, -2, -5, 0.1, -18?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7443 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 3*c = 6, 2*c + 20 = 18 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40256 and 18661616.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 124749813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*r - 8, 3*j - 2*r + 3 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27071.025ms?\nAnswer: 0.45118375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 599.4 + -543. Let k = -56 + f. Which is the smallest value? (a) k (b) -3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1950*s - 5*h = 1953*s + 15, s - 4*h = -5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 24 = 3*i, 2*i - 2*r - 12 = 4. What is the lowest common multiple of i and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 11:18 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137 divided by 32.\nAnswer: 137\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 152\/48 - (-6 + (-2 - -5))\/(-1). Let s = -3 + 2.1. Let t be 2\/(-1 + (-4)\/4). Put 1, s, c, t in descending order.\nAnswer: 1, c, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 6*v**3 - 2*v**2 - 3. Is l(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eeeblebebebbe.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*s - 10 = 0. Let z be (-6 - -2) + -2 + 5. Let f be z\/(3\/(-15)) + -2. Solve f*m - s*m = -4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*a**3 + 234 - 234)*((1 - 1 + 2*a)*(3*a + 0*a - 4*a) + 2*a**2 - 3*a**2 + 2*a**2 + 3*a**2 - 3*a**2 + 2*a**2 + (2*a - 1 + 1)*(0*a - 3*a + 4*a)).\nAnswer: -63*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -6347*w**2. Let c(r) = 70*r**2 - 189*r**2 + 117*r**2. Determine g(c(o)).\nAnswer: -25388*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6673989m to centimeters.\nAnswer: 66.73989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5091 times -3\nAnswer: -15273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/(-6))\/((-24)\/36). Suppose 3*h - w*c - 41 = 0, 3*h + 10 = -c + 48. Sort 2, 4, h in descending order.\nAnswer: h, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18696 + 18697. Put -493, 2, v in descending order.\nAnswer: 2, v, -493","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n**3 - 9*n - 19. What is x(-4)?\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(5*(-3)\/30).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 320 + -177. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 7:50 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*q - 170*q - 9 = 0. Let u(r) = 2 + 7*r + 1 - 11*r + q*r - 1. Give u(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -100101 + 100104. Determine l so that -4 + 5\/2*l**2 - l - 1\/2*l**o = 0.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 10\/(-15)*-1*(6 + -3).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(3\/10) - -2. Let x = 30555 - 30555. What is the third smallest value in -0.8, -3\/8, x, w?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 2 = -r. Let x be r\/(-20)*5\/2. Suppose -x*d + 8 = -8. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 196 + -66. Suppose 0 = -t + 1, -3*y + y + 4*t + x = 0. What are the prime factors of y?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -34, -349, -916, -1861, -3310, -5389?\n\"Answer: -21*a**3 - 168*a + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 14 + (2 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1838727 divided by 4059?\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**5\/4 - 23*t**4\/2 - 257*t**3\/4 - 111*t**2 - 79*t - 20 = 0. What is t?\nAnswer: -2, -1, -2\/3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 30375.\nAnswer: 9112.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 13 = 3*d, -9*d + 4*w + 5 = -12*d. Let j be (-2)\/(-3) - 13\/24. What is the biggest value in -5, d, j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89ce (base 15) in base 6?\nAnswer: 343135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 125 + -118. Sort f, -2, 4, -5 in increasing order.\nAnswer: -5, -2, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*x + 2*x - 11*x)*(-3*x + 7*x - 3*x).\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 0*k + 0 + 0*k**6 + 0*k**3 - 2\/21*k**7 + 10*k**2 + 3\/8*k**4 + 0*k**5. What is the second derivative of s(j) wrt j?\nAnswer: -240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (3 + -5 - -81). Suppose -y = -3*t - 18. Solve -3*v + t = -7*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*n = 48, 3*k - 148 = -k + 3*n. What is the remainder when 42 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108095625 divided by -2475.\nAnswer: 43675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 120 or -230?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 13. Let d = c - -13. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33 in 32, -12, -4\/3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000001010000 (base 2) in base 3?\nAnswer: -12201200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29162 a multiple of 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/2*26112\/(-26880)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**5\/8 - 103*n**4\/8 + 1833*n**3\/4 - 24651*n**2\/4 + 153549*n\/8 - 107811\/8.\nAnswer: (n - 33)**3*(n - 3)*(n - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 4:26 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 8:48 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**8\/n**11)\/((n*n**0\/n)\/(n\/n**(4\/9))) assuming n is positive.\nAnswer: n**(-22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f - 6*f**2 - 4*f**3 + 5*f**3 - 3*f. Let x(z) = z**2 + 15*z + 21. Suppose 0 = -5*n, -5*o + 2*n + 2*n - 70 = 0. Let r be x(o). Give a(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/4)\/(12\/496). Does 31 divide j*(2 + (-1)\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1931.08 + -96.28. Which is bigger: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 364555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 23\/(506\/242) - (-228)\/(-21). Which is the third biggest value? (a) -0.8 (b) -1\/3 (c) 2 (d) f (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lilbb. Give prob of sequence bl.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23107 to the power of 1\/2, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 750988?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5770608 divided by -12\nAnswer: 480884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25941 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 337280595?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence io when two letters picked without replacement from {o: 14, i: 2}?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 8:04 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -44671 (base 12) in base 13?\nAnswer: -32440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-6)\/o**(6\/17)*(o\/(o\/o**2))**(17\/5) assuming o is positive.\nAnswer: o**(38\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 798 = -15*n - 118*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvjwjjxwjxjjwjj. What is prob of picking 1 v, 1 j, and 2 x?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.978585 minus 6?\nAnswer: -7.978585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 5, -0.887, 0.5 in ascending order.\nAnswer: -0.887, 0.5, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 + 570*s**2 - 14595*s - 15170.\nAnswer: -5*(s - 74)*(s - 41)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yypyypypyy.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4 - 2*w + w + 4*w - 4*w. Determine r(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151842129.\nAnswer: 3, 19, 2663897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17.6? (a) -5 (b) -21 (c) 0.3 (d) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10545246*q**5 + 794897*q**2 wrt q.\nAnswer: 632714760*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 82 = 16. Calculate the lowest common multiple of 14 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49795257 by 16598419.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.4 and -974342?\nAnswer: -8184472.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-40))\/(18\/30).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -411?\nAnswer: -40e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2563 - 4?\nAnswer: 2556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254*k**3 - 470*k**3 + 205*k**3.\nAnswer: -11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) 1 (b) 0.2 (c) -3 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 186*n**2 - 2*n + 1. Let h(g) = -5*g**2 - 4*g - 8. Let a(k) = -6*k**2 - 5*k - 9. Let j(f) = -6*a(f) + 7*h(f). Let i be j(1). Is y(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2. Let s(y) be the third derivative of 32 + 1\/30*y**5 + 0*y**4 + 0*y - 13\/6*y**3 - y**2. Calculate s(a(j)).\nAnswer: 8*j**4 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -7*m**2 - 322*m - 1213. Determine u(-42).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -4*h + 5*a - 11, a = -4*h + 70. Let x = -18 + 41. Let w(n) = 4 - 6 - 23*n + 2 + x. Let k(b) = 8*b - 8. Calculate h*k(y) + 6*w(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = 4*w - 222. Let s = 84 - w. Solve -12 = -s*z + 8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, a: 1, c: 1}. What is prob of sequence bbac?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002146988 to five decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u - 3790*z + 3793*z + 21, 63 = 12*u - 3*z for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -115403.24 rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*w + 9*w - 36300, -21780 = -3*w - g. List the prime factors of w.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3) - (-10)\/3. Suppose g + j = 0, -q - 2*g - 18 = 2*g. Let m be (-8 - q\/(-2)) + -1. Is m bigger than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xa when two letters picked without replacement from {x: 4, a: 1, q: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12004204 + 2?\nAnswer: -12004202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (301 + -317 - (79 - 1)) + (-1 - (-14 - 2))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b81 + 5b8?\nAnswer: -15a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/3*((-28380)\/(-385) - 78). Let m(k) = -2*k - 2. Let z be m(-2). Solve -p = -3*b - q - 4*q, -5*b = z*q - 27 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*t - 134*t + 48 = 4*o, -2*t + 8 = -3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 3)*(21*l - 248 + 248)*(l**3 - l**4 - l**3) + (2*l**3 + l**3 + l**3)*(l**2 + 4*l - 4*l) + 2*l**2 - 2*l**2 - 2*l**5.\nAnswer: -61*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.915 to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*s**3 - 11*s**3 + 2*s - 4*s**3 + 2 + 25*s**3 - 8*s**3 + 2*s**4 as d*s**4 + x*s + q*s**3 + r*s**2 + m and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 500044.4ns to microseconds.\nAnswer: 500.0444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8, -23, -4 in increasing order.\nAnswer: -23, -4, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -2*y - 34, -1885 = 17*h - y - 1902 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 7*j - 251. Suppose 23*x = j*x - 425. What is the remainder when x is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1930822654?\nAnswer: 2, 1061, 909907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 83199 <= 83006?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.8, -4, -2, 13\/2?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 14, -2\/25 in increasing order.\nAnswer: -2\/25, 2\/9, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161875 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 + 54 = -5*c. What is the tens digit of 22\/3*c\/(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56191337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 1449*x - 11535. Let u be w(8). Solve 4*q - u = -69 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, v: 7, r: 7}. Give prob of picking 2 r and 2 p.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 1166 = -2*i, 3*i + 863 = -2*r + 2600. What are the prime factors of i?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of 0*w**3 - 1\/12*w**4 + 3\/10*w**5 + 0 + 2*w**2 + 13\/8*w**6 + 2*w. Find the third derivative of h(y) wrt y.\nAnswer: 1170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -141423 (b) 0.2 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**4 - 135*f**3 - 2899*f**2 - 6993*f + 10028 = 0.\nAnswer: -109, -23, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 6 = -3*m, d + 6 = m + 8. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 5:24 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 21 + 24 = -5*p - 5*g, 5*p + 164*g = -542 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10152 + -14501?\nAnswer: -4316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence slst when four letters picked without replacement from stststtsttlsttsssst.\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 3655572?\nAnswer: 25589004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (-3 - 1 - -2). Let v(b) be the third derivative of -1\/12*b**4 + b**2 + w*b + 0 + 1\/6*b**3. What is the derivative of v(f) wrt f?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**2 + 120727*c*j**2 + 2*c + 10*j**2 - 5788*j wrt c.\nAnswer: -2*c + 120727*j**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -105*q**3 + 116 - 116 + (-1 + 6 - 2)*(-2*q**3 + 3*q**3 - 3*q**3) + (q**2 + q**2 - 3*q**2)*(-2 + 2 - 2*q).\nAnswer: -109*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 6:32 PM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26580 - 26540. Let s = 0 - -0.1. Let q = 0.2 - s. Is q >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7178*x - 407*x - 1731*x + 2107*x - 4785*x as u*x + j and give u.\nAnswer: -11994","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 1 (c) -1.3 (d) -2\/39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 13*q**2 - 13*q + 2. Let f(t) = t**3 - 7*t**2 - 7*t + 1. Let h(s) = 11*f(s) - 6*r(s). Suppose 3*k = 21*k - 18. What is the units digit of h(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -o + 2*o. Suppose -5*v + 10*v + 5 = 0. Let w = -1979886\/5 - -395977. Which is the nearest to w? (a) v (b) 1\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2\/3*g**2 + 0 - 4\/3*g = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - 4\/18*51*-12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5771?\nAnswer: 29, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 39 = -c. Let o = 1 - c. Calculate the remainder when 41 is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.40249*0.656\nAnswer: 0.26403344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -600, -1264, -1920, -2562, -3184, -3780, -4344?\n\"Answer: i**3 - 2*i**2 - 665*i + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence du when two letters picked without replacement from {u: 2, x: 1, d: 1, i: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**2*w - 28*g**2 + 833*g*w - 2383*w + 6 with respect to g.\nAnswer: 2*g*w - 56*g + 833*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -25*y + 442. Let f be m(18). Which is bigger: f or -47\/6?\nAnswer: -47\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1762 = 15*m - 2753. What are the prime factors of m?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 173, 6, 0.2, -0.3.\nAnswer: -0.3, 0.2, 4, 6, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95937447?\nAnswer: 3, 5507, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -192*a - 19. Let h be j(-2). Let u = 4 - -1. Suppose 0 = -u*y + h. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 1 + (4 - 5 - 2)*(5 - 3 + 0))*(-106 - 124 - 3223*y + 230) in the form s + o*y and give o.\nAnswer: 25784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13 or -85589?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6*m + 125. Determine i(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1315080?\nAnswer: 2, 3, 5, 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppsddpdkdpdd. Give prob of picking 1 k, 1 p, and 1 d.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 16. Solve -4*x = -0*x + i for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n. Let p(w) = -w**2 + 8*w - 2. Let t be p(8). Let d be 0 + -2 - 10\/t. Let y(z) = 13*z**2 - 2 - 1 + d. Give y(h(a)).\nAnswer: 52*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10491 = -631*z + 11030 - 5115 for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 16338896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -93, -137, -177, -213, -245, -273?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25462, 50924, 76386, 101848, 127310, 152772?\n\"Answer: 25462*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 - 2 + 2 - 5*z**2 + 3*z**2 + 0*z**2 + 1 - z**2 - 1 + (-z**2 + 0*z**2 + 3*z**2)*(3 + 0 - 1) + 3 - 2*z**2 - 3 + (3*z + 12*z + 3*z)*(2 - 2*z - 2).\nAnswer: -35*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -246*n + 3008. Give i(13).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95029550 divided by 385.\nAnswer: 246830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31632 - 17641. What are the prime factors of g?\nAnswer: 17, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 697, 676, 641, 592?\nAnswer: 529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**6*p))\/p**(-9\/4))**(-27) assuming p is positive.\nAnswer: p**(405\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 205?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60 - 65. Let r(c) = 6*c**3 + 6*c**2 - 22*c + 16. Let s(y) = 2*y**3 + 2*y**2 - 7*y + 5. What is k*r(b) + 16*s(b)?\nAnswer: 2*b**3 + 2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2026*b - 931*b - 24437 - 6223 = 0 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - -1)*(-8)\/6. Suppose -3*d = -6*d + 4*t + 9, 0 = a*t + 12. Let b = -16717 - -16712. Put b, -6, d in decreasing order.\nAnswer: d, b, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -3, 614408, -2, 1.\nAnswer: -16, -3, -2, 1, 614408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 8:23 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3614 - -3761. Solve -n*t + 12 = -141*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 129, 468, 1029, 1812, 2817?\n\"Answer: 111*f**2 + 6*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ewww when four letters picked without replacement from wzezwwzezezzzwwzw?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*m + 18. Solve 0 = -3*h + m*h - 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61742521?\nAnswer: 17, 563, 6451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 468 + -394. What is the greatest common divisor of 2 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 + -33. Suppose -8*w = -134 - 66. Let g = k + w. Does 24 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 1\/63610?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*s**2 - 17*s**3 + 10*s**2 - 6 - 31*s**2 + 10*s**2.\nAnswer: -17*s**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 250425 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**3 - 48*b**2 + 0*b - 32*b**2 + 4*b.\nAnswer: b**3 - 80*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbuhbmumumhbmmmum. Give prob of picking 2 b.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23332014 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a - 3. Let p be r(-5). Let j be 1\/p*(25 - 1). Let u be ((-1)\/(-11))\/((-6)\/j). Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2, 12\/5, -79\/3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 - 1998*p**2 + 298416*p + 1225760.\nAnswer: 2*(p - 815)*(p - 188)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -j - 4*j + 24, -12 = -4*q. Solve j*g - 7*g = 0, -4*g + 2 = -2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2794 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -13*z**2 - 8*z - 8. Let o(g) = -9*g**2 - 5*g - 5. Determine -5*b(t) + 8*o(t).\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*1*sqrt(84))\/sqrt(12) + -1)**2 - (sqrt(84) - -1*sqrt(84)*-2)\/(sqrt(132)\/sqrt(176)).\nAnswer: 14*sqrt(7) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 398*b**2 - 45780*b + 1150.\nAnswer: 2*(b - 115)*(199*b - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 103702*f + 51930*f + 2 + 51847*f.\nAnswer: 75*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1804559808?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 240076 + -171317. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, b: 2, w: 4, f: 1, q: 2, r: 5}. Give prob of picking 1 w, 1 y, and 1 b.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50323795\/23712 + -40325\/19. What is the common denominator of o and -27\/10?\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -290 (b) 3 (c) 0.05 (d) -124\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 3:16 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1119 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*r = 4654 - 7852 for r.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 + -118. What is the remainder when 13 is divided by 10\/(-35) + q\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27532 - 22529291872.\nAnswer: -22529319404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 3*g**2 + 12*g + 12. Let z = 60 - 64. List the prime factors of l(z).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/347 and 13\/2.\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 30851104*y**2 + 118973888954536*y + 475895062200608.\nAnswer: 2*(y + 4)*(y + 7712774)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-471016)\/312)\/(2\/(-6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*o - 1179, -1807 = -3*o - 3*n - 31. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16.321 + -15.33. Let g = p - 0.51617. Let s = 0.472 - g. Round s to four decimal places.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 55*a**4*i - 336119*a**4 - 202429748*i wrt a.\nAnswer: 220*a**3*i - 1344476*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 6 - 21. Suppose -6*q + 7 + 5 = 0. Find the first derivative of 0 + t - 2 + 0*z**2 + z**q wrt z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**2 - 7*z + 9. Let a be w(-6). Let d = a + 31. Suppose -2*i + 6*i = 0. Solve -n - 2*j + d = -2, i = -2*n - 5*j + 29 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2442*t**3 - 7327*t**3 + 2446*t**3 + 2441*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -42, -82, -164, -300, -502, -782, -1152?\nAnswer: -1624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60261750*k**6 + 84*k**2 + 12*k - 351?\nAnswer: 7231410000*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 + 56*m**2 + 240*m + 288.\nAnswer: 4*(m + 2)*(m + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 w when two letters picked without replacement from {w: 4, o: 2, b: 4, c: 4, d: 1, i: 5}.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 15*o**2 + 975*o - 2466. What is t(-68)?\nAnswer: 594","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u + 5 = -3343. Let y = 419 + u. List the prime factors of y.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y**3\/3 + 7205*y**2\/3 - 443288*y\/3 - 150164 = 0. Calculate y.\nAnswer: -7266, -1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7 + -0.3. Let i = 12\/31 + 26\/93. Which is the second smallest value? (a) 0.4 (b) f (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -31*f + 50. List the prime factors of a(-11).\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 176a0 (base 12) to base 7\nAnswer: 200406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 9341732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-55)\/((-5775)\/180))\/(-8*6\/(-3192))?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -733 - 3?\nAnswer: -736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -341183\/13 - -26245. Which is the second smallest value? (a) -3\/22 (b) w (c) 58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/2 + (9\/2)\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 13*m + p - 12 = 0, -3*m + 4*p - 28 = 0. Which is the fourth biggest value? (a) 3\/5 (b) 0.3 (c) m (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5927*q - 345062 = 3399*q for q.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00873504 rounded to 5 dps?\nAnswer: 0.00874","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*a**5 + 9*a**5 + a**5 - a**5 - a**5 + 3*a**5 + a**5 + 3*a - 3*a + (-2*a**4 + a**4 - a**4)*(-a - 4*a + 3*a) + a**5 + 3*a**2 - 3*a**2.\nAnswer: 24*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a microgram in nanograms?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50973340 - 0.08608207.\nAnswer: -50973340.08608207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3084, -0.3, -0.4 in decreasing order.\nAnswer: -0.3, -0.4, -3084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 + 3)*(2*h + 0 + 0).\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*-1 + -3 - (2*sqrt(200) + sqrt(200))*4 - ((sqrt(200) + sqrt(200)*-2 + sqrt(200))*-5 + sqrt(200)*2 + 0))**2*6*3.\nAnswer: 16200*sqrt(2) + 810162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1340*-0.02.\nAnswer: 26.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(6\/11)\/n*n*n**2*n*(n*n**0)**(-4) assuming n is positive.\nAnswer: n**(-5\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + sqrt(136) + sqrt(136) + 5*((sqrt(136) - sqrt(136)*-1) + sqrt(136)))*5*-4)\/(((sqrt(64) - 1*sqrt(64)*5) + sqrt(64))\/(sqrt(968)*-1)).\nAnswer: -1320*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1*10\/5)\/((-2)\/(-4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.12575 and 2365675.92.\nAnswer: 2365676.04575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 - 159 = -p. Calculate the highest common divisor of 68 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 316763392 to the power of 1\/2, to the nearest integer?\nAnswer: 17798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 60*v**2 - 7*v + 54. Let l(c) = 30*c**2 - 4*c + 27. Let j(g) = 7*l(g) - 4*q(g). What is the first derivative of j(b) wrt b?\nAnswer: -60*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y*y\/((y\/(y*y*((y*y**(3\/8))\/y)\/y))\/y)))**18\/(y**(-2\/5)\/((y\/y**4*y*y)\/y)) assuming y is positive.\nAnswer: y**(-1247\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -340800\/11 + 31057. Let k = u - 75. What is the nearest to k in 4\/3, 0.01, 8?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-6*-4*3*sqrt(2) + (sqrt(32) - sqrt(2))*4 + 3))**2 + -3.\nAnswer: 18144*sqrt(2) + 508353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 467135542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 6 = 114. Let l = q - -42. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12a7a1b - -2?\nAnswer: 12a7a1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000182011 rounded to five dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 230720710, 230720713, 230720716, 230720719, 230720722?\n\"Answer: 3*n + 230720707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3279.829 minutes to seconds.\nAnswer: 196789.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 13.05. Let r = h + 0.15. Let q = -3389.06 + 3389. What is the fourth smallest value in r, 2, q, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 (base 7) in base 9?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72040843 to the nearest integer?\nAnswer: 8488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6894, -5, 1, 2, -4 in ascending order.\nAnswer: -5, -4, 1, 2, 6894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + 7. Suppose 67 - 12 = 5*a. Let v be 0 + 80\/(-5)*1. Let i = v + a. Calculate n(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334.14 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 5*c = 2*j + 15, -2*j = -c - 3. What is the closest to 3 in -4\/5, c, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.44 + -2641.\nAnswer: -2640.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22174 is divided by 304?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/8 and 97\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 + 10*l - 88. What is the tens digit of k(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -4, -13, 6, -11202 in descending order.\nAnswer: 21, 6, -4, -13, -11202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.035148 to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxwzvxzzzxxwwxvv. Give prob of sequence xz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-3)*m**(2\/3)*m)\/(m*m*m**5*m*(m\/((m*(m*m*m**(3\/2)*m)\/m)\/m)*m)\/m))\/(m**(3\/2)*m**(1\/4)*m\/m**(2\/9)*m**(-1)\/m) assuming m is positive.\nAnswer: m**(-229\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**4 - 7*d**4 + 5*d**4 + (-2*d**3 + 0*d**3 - 7*d**3)*(d + 3*d - 6*d).\nAnswer: 17*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 5:24 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -191a44 (base 12) to base 9\nAnswer: -737667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 4. Let z be ((-9)\/(-6))\/(h\/4). Solve -z*r = r - 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10100111 (base 2) to base 10\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 4*w + 4. Let o be h(4). Suppose 0 = -g - o*g + 60. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 21442 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.007865 seconds?\nAnswer: 7865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11be (base 15) to base 8.\nAnswer: -7303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 less than 2716.2?\nAnswer: 2545.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**3 + 2*g - 6*g**3 + 6*g**3 wrt g?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 110.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f - 12. Let b be (-1)\/(-3) + 124\/(-12). Let s be t(b). Calculate the highest common factor of s and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6}. Give prob of picking 3 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -2. Suppose 0 = 3*d + 5*y + 1, 2*d + 4*y - 8*y = 14. Let z be (-5 + d)*11\/t. Solve 5*n = 4*c + 14, 6*c - 3*c = 4*n - z for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -12*a**2 - 96*a - 201. Let o(r) = 3*r**2 + 24*r + 50. Let q(s) = -9*o(s) - 2*x(s). Factor q(k).\nAnswer: -3*(k + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**3\/13 - 3204524*d**2\/13 - 1283605735552*d\/13 + 12836377809920\/13 = 0.\nAnswer: -801136, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r + 31 = -10*r - 4*j, -2*r + 3*j = -18 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -330*o - 4. Let z(j) = 53*j**2 + 87 - 102*j**2 - 87 + 53*j**2. Give b(z(s)).\nAnswer: -1320*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -15*n**2 - 154*n - 35. Let p be c(-12). Suppose -3*z - 2*o = -0*z + 1046, 0 = 3*z - 5*o + 1018. Is p at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1584.75*-0.6487\nAnswer: 1028.027325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4281900.\nAnswer: 2, 3, 5, 7, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/15)\/(3\/(-171)). What is the second derivative of 0*f**2 + 15*f**2 - k*f + 11*f wrt f?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-10))\/(-4*12\/16).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -86*i**2 - 53*i - 5096. Let y(n) = 43*n**2 + 25*n + 2548. Let g(t) = 6*d(t) + 13*y(t). What is the derivative of g(r) wrt r?\nAnswer: 86*r + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -292701927 from 23430.\nAnswer: 292725357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 20985?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/3145 and -39\/1003.\nAnswer: 185555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*l + 6326, 54*d - 55*d - 6 = 0. Calculate the greatest common factor of l and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 9 = -5*y + 2*j, -2*y - 3*j - 4 = 0. Suppose -2*p + p = -6. Which is the biggest value? (a) 2\/11 (b) y (c) p (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {r: 3, z: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 6:18 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75 or -20410\/277?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3185, 6318, 9383, 12344, 15165?\nAnswer: 17810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 155612 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: What is 2.16 plus -2.194?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kmkkkmkkkkkk. Give prob of picking 3 k.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 23261.724 months?\nAnswer: 193.8477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/35650 and 47\/250.\nAnswer: 178250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2. Let u = -65930\/3 - -21999. Let z(s) be the first derivative of u*s**3 + 33 + 0*s**2 + 0*s. Give z(r(v)).\nAnswer: 268*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 126*k**5\/5 - 190*k + 24. Differentiate s(n) wrt n.\nAnswer: 504*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6, 14, 22, 30?\n\"Answer: 8*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 1288 + 440 = 0. Find the third derivative of 72*n**3 + 145*n - i*n - n**2 + 138*n wrt n.\nAnswer: 432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 12:44 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 141418649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**3 - 950*h**2 - 32787*h + 106938 = 0. What is h?\nAnswer: -914, -39, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wzb when three letters picked without replacement from bzbbzbzzwzz.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**4\/12 - 9*u**2. Let q = 11 + -8. Let p(f) = 3 - q + 15*f. Give p(r(o)).\nAnswer: -30*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/153)\/((-10)\/(-60))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-1)*(-1)\/1*1\/(-4)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 85.5 + -10.5. Let n = a - 75.0051. What is n rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 40755461 and 4.\nAnswer: 163021844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 13554*j - 1816239. What is c(134)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 7) to base 9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 3\/4*q**3 + 0*q**2 - 27\/4*q + 0 = 0.\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -44 - (-29 + 1 + 9).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 5*f**5 + 70*f**4 + 340*f**3 + 650*f**2 + 375*f = 0.\nAnswer: -5, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3 = 2*v, -u + 2*v + 52 = -5*u. Let h = 23 + u. Calculate the remainder when 33 is divided by h + -8 + 3 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 45.82443 micrograms?\nAnswer: 0.04582443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-6)*z)\/z)\/(z*(z\/(z*z\/(z**(-5)\/z)))\/z*z)*z**0*z\/(z*z\/z**0*z*z)*(z**(-2)\/(z*z\/(z*(z\/z**(-1))\/z)*z))**(-1\/75) assuming z is positive.\nAnswer: z**(-74\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 666 divided by -6?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 21*l**3 + 3*l + 9. Let f(x) = 10*x**3 + 2*x + 4. Let q(v) = 9*f(v) - 4*i(v). What is the second derivative of q(b) wrt b?\nAnswer: 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8007.936l?\nAnswer: 8007936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1228?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + 16\/6)*(-6)\/8. Which is the nearest to n? (a) 2\/3 (b) -0.16 (c) 2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -884, -1821, -2758, -3695?\n\"Answer: -937*n + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**4\/24 + 3*v**3 + 27*v**2. Let m be z(-5). Let w = m + -10. Sort w, -1, 1 in decreasing order.\nAnswer: w, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2.1391 = 0.0105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) -0.1 (c) -2\/5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34328?\nAnswer: 2, 7, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -169, -37, 95, 227, 359?\n\"Answer: 132*j - 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 at most as big as -24383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -350.084745 rounded to one decimal place?\nAnswer: -350.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2998 is divided by 845.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p. Let u(m) = m**2 - 177763*m + 3. Give u(j(r)).\nAnswer: 16*r**2 + 711052*r + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 + 121*c**2 + 79*c + 1117. Give y(-60).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15)\/35 + 29840\/112 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 155\/(-4) + (-26)\/104. Let u = -49 - -5. Let l = t - u. Solve l*g + 0*n = -n - 21, 5*n = 3*g + 35 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 483061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**2 - 8*x + 2. Let o(u) = 5*u**2 - 8*u + 3. Let p(y) = 3*o(y) - 4*q(y). What is p(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 * -1.255\nAnswer: -33.885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vh when two letters picked without replacement from {v: 2, h: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -0.51 (c) 947696 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68 + 135. Let g = 71 - t. Let i(b) = g*b - 5*b - 4*b. Let k(y) = y. What is i(k(q))?\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9798 is divided by 140?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppcvpevpeepvpe. Give prob of picking 2 c and 1 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*r = -3*r + 171, -4*z + 5*r = -684. Let m = z + -104. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 711273 and 0.64.\nAnswer: 455214.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -150 + 180. Let o(h) = h + 2. Let p be o(-2). Solve 2*l = i - 0*l, 5*i + 5*l + t = p for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5976.926 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 191\/330 and -1\/190.\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t + 1. Let y be m(-1). Suppose -o + 1 = -4*n, 0 = -5*o + 4*n - y*n - 71. Let b = 3 - o. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of h**3\/2 - 63*h**2\/4 + 162*h + 624. Factor u(b).\nAnswer: 3*(b - 12)*(b - 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -515*w**4 - 2*w**3 + 2*w - 224. Let s(b) = b**3 - b - 1. Let g(o) = -2*c(o) - 4*s(o). What is the first derivative of g(y) wrt y?\nAnswer: 4120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v - 7. Let y be a(-6). Let s(x) = x**3 - 10*x**2 - 9*x - 9. Let r be s(y). Suppose 4*q - 89 = -r. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)*2*-2)\/sqrt(7))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2516537428?\nAnswer: 2, 629134357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 45651463 to the power of 1\/3, to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 10 + 9 - 14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 623 a factor of 342027?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87 - 87. Suppose -5*g + i*y + 117 = -4*y, 54 = 3*g + 3*y. Let p = 0.3 + 0.7. Is g > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 1, -2 in ascending order.\nAnswer: -2, 1, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - (22 + (14 - -14) - 14)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1331, -12034, -48311, -118960, -235441, -409214, -651739?\nAnswer: -974476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 26 = -2*r, -2*r + 24 = 3*m - 15. Let s(x) = 7*x - 7. Calculate the remainder when s(8) is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*r = -2017 + 352, -4*u + 5*r = -1332. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 2 - 28 = 0. Let d(q) = 3*q**2 + 8*q - 9. Let r be d(j). What is the highest common divisor of r and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54328*z - 32199*z - 189269*z + 37467*z.\nAnswer: -238329*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -59*b**4\/4 - b**3 - b**2 + 2*b + 8. Is o(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 964 a factor of 2305631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 9*y**2 - 9*y + 4. Does 6 divide n(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*o + 51*o - 374 = 136 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 184037 - 4*u - 184037. Let j(h) = -14*h**2 + 3*h. Give j(i(o)).\nAnswer: -224*o**2 - 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 608360, 1216720, 1825078, 2433434, 3041788, 3650140, 4258490?\n\"Answer: -q**2 + 608363*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/5 of a century?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1444*r**3 - 173432*r**2\/3 - 1792208*r\/3 - 1119008\/3 = 0.\nAnswer: -374\/19, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 8:13 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -99*z**2 - 95*z**2 + 193*z**2 + 28 in the form d*z + p*z**2 + k and give k.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - 33 - (1 + -7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3301 + 3299. Which is the closest to 1? (a) w (b) -5 (c) -1 (d) 2\/49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p**2\/3 + 78*p + 60 = 0. What is p?\nAnswer: -3\/4, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, h: 3, c: 2, j: 4}. What is prob of sequence jcj?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03179 rounded to three dps?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -596, -601, -594, -569, -520, -441, -326, -169?\n\"Answer: x**3 - 12*x - 585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 0. Let y(o) = -5*o**2 + 2*o**2 + 2*o**j. Let u(h) be the third derivative of -h**4\/6 - 16*h**2. Determine y(u(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2647, -10949, -24689, -43867, -68483?\nAnswer: -98537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*a + 38*a - 14602. Let b = -657088\/315 - a. Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 107 = -5*d + 264, -4*q + 502 = 3*d. Suppose -q + 7 = -3*g. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211976 is divided by 19268?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 8*j**2 + 1. Let b(n) = 2*n + 1. Give -b(t) - l(t).\nAnswer: -8*t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k = -5*c - 106, 6*c - 2*c - 53 + 142 = 3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) - 2*sqrt(147))**2 + -4 + sqrt(48) + -1.\nAnswer: 4*sqrt(3) + 142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110851609, 110851610, 110851611, 110851612?\nAnswer: 110851613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -51 + -13 + 22 + 28\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1522229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q - 27. What is the units digit of j(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 - 5. Let i = p + -15. Let o = 0.1 + -0.2. Put -1\/5, o, i in increasing order.\nAnswer: -1\/5, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 1. Let f be 7 + -5 + (-4 - p). Suppose 4*x + 4 + 8 = f. Is -3 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 9 + v**2 - 6 - 13.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4890042 to the power of 1\/3, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z - 53 + 148 = -185 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -616 + 1345354?\nAnswer: 1344637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51019 and 163.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 192*y**3 - 2*y + 117*y**2 - 115*y**2.\nAnswer: 192*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -5)*54\/(-90). Suppose 0 = o - 16*w + 11*w + 12, g*o - 28 = -w. Suppose i + 3*i = 272. Calculate the smallest common multiple of i and o.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 + 1*(-5 - (0 - 3)). Suppose 5*c = -s*b + 176 + 47, -2*c + 2*b = -82. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2.129254 weeks?\nAnswer: 1287772819.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111000 + 1010001?\nAnswer: 1011001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 + 69 = -4*p. Let g(l) = -6*l**3 - l - 1. Let k be g(-1). Calculate the highest common factor of k and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 3*o - 12, -5*v + 8 = 4*o - 3. Which is the second smallest value? (a) -0.6 (b) 1 (c) 2 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -314, -240, -118, 52, 270, 536, 850?\nAnswer: 1212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -19 - 3*u + 11 - 10*u. Let c be j(-1). Solve -c*b = -40 + 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5050*d + 1675*d - 2481*d.\nAnswer: 4244*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w. Let o = -55 - -53. Let v be t(o). Solve 5*q = v*q + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -16*a**4 + 387*a**3 + 413*a**2 - 5*a + 10. Let x(l) = 39*l**4 - 969*l**3 - 1032*l**2 + 12*l - 24. Let h(u) = 12*r(u) + 5*x(u). Factor h(d).\nAnswer: 3*d**2*(d - 68)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, m: 5, p: 3}. Give prob of picking 2 n.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78 and 53220458?\nAnswer: 2075597862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04636151 to 5 decimal places.\nAnswer: -0.04636","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvgokfkog. What is prob of picking 1 h and 1 k?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*w - 3*q - 35994, -q - 3 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19\/4? (a) -4 (b) 3\/5 (c) -0.02 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1ad + -5?\nAnswer: 1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 143 - 143. Suppose -2*n - 1 + 37 = z. Calculate the remainder when 71 is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -226 + 200. What is the tens digit of (-4482)\/(-8) + v\/104?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70728 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 217, 5, -921, -2 in increasing order.\nAnswer: -921, -2, 5, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-2\/7))\/y**(-3\/7))**28*(y*y**(-1\/3)*y)**(2\/11)\/(y**1\/y)**(8\/9) assuming y is positive.\nAnswer: y**(1990\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 9, 0.5, -2\/1265 in ascending order.\nAnswer: -2\/1265, 0, 0.5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 7*p - 5. Let g(m) = -8*m + 6. Let a(c) = 4*g(c) + 5*h(c). What is the units digit of a(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - (-2 + -1))*-3. Let j be f\/(-5) - 15\/(-25). Suppose i - 3 = -5*n, j = -5*i - n + 6*n + 75. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13756, 13772, 13790, 13804, 13808, 13796, 13762?\nAnswer: 13700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 1 + 9. Suppose 4*a + 8 = 2*y, -y - 4*a + 6 = 26. Sort y, 0, t in decreasing order.\nAnswer: t, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*v + 16226 + 4774 = 0. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**9)\/m*m\/(m*m**(2\/11)))**30)**6 assuming m is positive.\nAnswer: m**(17460\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1\/3, -6949619 in increasing order.\nAnswer: -6949619, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 4*n**2 - n - 1. Let l be i(-4). Let g = 15 - 10. Solve -5*x + 3*q - 2*q = -g, -l*x - 4*q - 20 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence waa when three letters picked without replacement from nawwwnaa?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -94.5326, -2, -1\/11.\nAnswer: -94.5326, -2, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**4 - w**3 - w**2 + 1. Let f(g) = -11*g**4 + 8*g**3 + 8*g**2 - 5*g - 8. Let t(k) = -3*f(k) - 24*m(k). What is the second derivative of t(u) wrt u?\nAnswer: 108*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f + 9. Let s(t) = 10*t - 27. Let q be (-3)\/(-4) - 475\/(-380). Calculate q*s(k) + 7*j(k).\nAnswer: -k + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*f**2 - 31*f**2 + 10*f**2.\nAnswer: -96*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 270.8954 decades in years?\nAnswer: 2708.954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3501, 2831, 1707, 123, -1927?\nAnswer: -4449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (79641577 - 79641577 + 34755*o)*(-4*o + 0*o + 2*o) as r + i*o + h*o**2 and give h.\nAnswer: -69510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 78*m**4 - 360*m**4 + 8583 + 140*m**4 + 4*m**3 + 144*m**4 - 2*m**3 - 41*m**2 wrt m.\nAnswer: 8*m**3 + 6*m**2 - 82*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, -2, 4, 0 in ascending order.\nAnswer: -66, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(0 + 0 + 2*f**2) - 4*f**2 + 3*f**2 - f**2 - 225*f**2 + 375*f**2 - 213*f**2 + (0*f - 2*f + 0*f)*(4*f - 4*f + f).\nAnswer: -69*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3206.8895 less than -707?\nAnswer: -3913.8895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 52\/5 of a gram?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*s**4\/7 - 64*s**3\/7 - 20*s**2\/7 + 8*s\/7.\nAnswer: -4*s*(s + 1)**2*(9*s - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-48)*-18)\/(-6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 20668?\nAnswer: 289352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14110410 to the power of 1\/3, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*6*sqrt(98)*1*1.\nAnswer: 252*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 11:49 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4*k = -52, 33 = 3*x - x + 3*k. Let d be ((-5)\/(-10))\/(22\/x). Which is the smallest value? (a) -0.1 (b) -0.4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-6)\/(9\/3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222997578.\nAnswer: 2, 3, 61, 609283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 4*a + 1, 19*h - 21*h + 4 = 2*a. What is the greatest common factor of h and 22203?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -15*o**4 + 40*o**3 + 40*o**2 - 160*o + 80 = 0?\nAnswer: -2, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20783 - -11083. Round l to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.4*-1.38139\nAnswer: 4.696726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9960257 and 1119130?\nAnswer: 99602570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2256 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 14*x - 16*x + 40 = 0, 0 = -2*s - 5*x - 44. Sort 1, -4, s, -1 in decreasing order.\nAnswer: 1, -1, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32846716.\nAnswer: 2, 7, 59, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -8 - 14 - (8 - 5).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(20))\/sqrt(4) + -2.\nAnswer: -2 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 2, -4, 1, -3 in ascending order.\nAnswer: -4, -3, 1, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*g - y + 78 = 0, -4*y = -4*g + 222 - 119 - 79 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 342 and 1152?\nAnswer: 21888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2127?\nAnswer: 3, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3 = -5. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 11:38 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -39, -81, -139, -213, -303, -409?\nAnswer: -531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0*j - 3. Suppose -j*b - 2*b + h + 6 = 0, -3*b - 2*h = -14. Suppose -b*k - 2*k = -168. What is the remainder when k is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8957.\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3651231.7 rounded to the nearest one thousand?\nAnswer: 3651000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -805, -1613, -2421, -3229, -4037?\nAnswer: -4845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2057) + 0 + sqrt(2057)) + sqrt(2057) + sqrt(2057) + (1*((sqrt(2057) + 2 - sqrt(2057)) + sqrt(2057) - sqrt(2057)))**2 + -3.\nAnswer: -66*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 640103.9 litres?\nAnswer: 640103900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2320540 - 4?\nAnswer: -2320544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3727 is divided by 60?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from duuufmufu. Give prob of picking 1 u, 1 f, 1 m, and 1 d.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6853*f**2 - 3723*f + 2 wrt f.\nAnswer: 13706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-48))\/((-6)\/(-4))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28968 - 28967. What is the smallest value in 0, -1\/4979, s?\nAnswer: -1\/4979","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 9:01 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/109, 2\/5, -2\/45 in decreasing order.\nAnswer: 2\/5, -2\/109, -2\/45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 90 in 3, -1\/11, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 163*c**2 - 823*c - 2796. Give f(168).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.8538 - 5.922289. What is g rounded to three decimal places?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 0.3, 0.6, 1\/8, 0, -1017.\nAnswer: -1017, -48, 0, 1\/8, 0.3, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -125 + 121. Which is the smallest value? (a) 0 (b) q (c) 2 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1434 (base 5) in base 15?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**4 + 636*d**3 - 260518*d**2 + 2297064*d - 2037184 = 0.\nAnswer: -556, 1, 8, 229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 92 - 59. Let h be 2\/(-21)*s\/22. What is the nearest to 2\/9 in -5, h, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 2 - 2 - 2)*(-o + 0*o + 2*o)*(0 - 2*o + 0).\nAnswer: 2*o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-7 - -1 - (49 - 60))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/830080 and -59\/830080.\nAnswer: 830080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81345563?\nAnswer: 13, 181, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70304 = 1947*r + 45*r + 205*r for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 6 + 0 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -1. Let z(v) = 4 - 6 - 7 - v + 3*v. Let f be z(4). Let c(m) = -5*m - 4. Let g(l) = f*c(l) + 5*y(l). Give g(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -m**4\/4 + m**3\/6 - 6*m**2. What is p(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**5\/60 + r**4\/3 - r**3\/6 + 35*r**2. Give m(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + 14927094747 - 63*i**2 - 14927094747 + 4*i.\nAnswer: -63*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o - 3. Let g(x) = -2317*x - 18. Let m(b) = -g(b) + 3*r(b). Is m(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 1 = -s + 2, 2 = 2*s - u. Solve s = z + 4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*u - 41 + 113 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -379 - -616. Let g = f + -242. Sort 4, -20, g in increasing order.\nAnswer: -20, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16474654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0, 2\/3, 9, 10\/19, 2472, -1?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/7 (b) -0.4 (c) -346\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -11*v - 1 - 2 + 3. Let t(p) = 8 - 8 - 2*p**2 - 5 + 5. What is t(w(s))?\nAnswer: -242*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 + 8*j - 37. Calculate a(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -353*g**2. Let h(y) = -2*y**2. What is h(f(u))?\nAnswer: -249218*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3)*(1 - 3 + 1)*(0*d - 7*d - 10*d).\nAnswer: -34*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 - 103 + 325 - 123 - 99.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5715 - (6 - 39\/13)?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39794, -79574, -119354?\nAnswer: -159134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 - -134 - (2 - -38)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.382505 to 2 dps.\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -32*n + 36. Let v(y) = -13*y + 17. Let f(q) = -2*s(q) + 5*v(q). Calculate f(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -154, -271, -398, -535, -682?\nAnswer: -839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 213, 212, 211, 210, 209?\n\"Answer: -b + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 625521408 to the power of 1\/2, to the nearest integer?\nAnswer: 25010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 9, y - 4*p + 0*p = -17. Let k be 1\/(y*1\/(-10)). What is the second derivative of 3*z + 5*z - 16*z**5 + k*z + 13*z**5 wrt z?\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-70*(-55)\/15400)\/(1\/(-44))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1652 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496938763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 278*m**2 - 4418*m - 4966. What is j(261)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a + 2. Let z = -5 + 7. Let v be b(z). What is the smallest common multiple of 18 and (-24)\/(-2)*(-2)\/v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 392110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6043, -6039, -6031, -6019, -6003?\nAnswer: -5983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24810 + 24769.996. Let f = l - -0.004. Let b = 39.9998 + f. Round b to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 10}. Give prob of picking 3 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3184166567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**3*w**4 - 27*i**3*w**3 - 3*i**3*w - 6*i*w**3 + 88*i*w**2 wrt w.\nAnswer: -48*i**3*w - 162*i**3 - 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r + 27*c - 31*c - 46, 3*c = -2*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 6*w - 2*w. Let c(l) = -l**2 + 8*l + 9. What is the units digit of c(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 3*p**2 + 3*p + 2. Let m = 24 + -17. Suppose -7 = -4*h - 19. Let z(r) = -2*r**3 + 7*r**2 + 7*r + 5. Calculate h*z(t) + m*u(t).\nAnswer: -t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 937*y**2. Let i(l) = l. What is f(i(m))?\nAnswer: 937*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3007645 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250439 is divided by 428?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -104, -121, -138, -155, -172?\n\"Answer: -17*h - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 > 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 8*z**2 - 2*z - 1. Suppose -5*t + 12 = -58. Let k be (-14)\/(-10) - t\/35. Suppose -3*d + 2*n = -k, -6*d + 2*d = 2*n + 8. Calculate r(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25370 to the nearest one thousand.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -104111345?\nAnswer: 104111343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280373079 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20103, 39994, 59671, 79134?\nAnswer: 98383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 + -11 + (21 - 8) + (-6 - 2) + -6?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 4:21 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7822159 - 0?\nAnswer: 7822159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j**2 - 6*j**2 + 2*j**2)*(5 + 0 + 0)*(-34 + 34 + 15*j**2) to the form i*j**3 + l*j**2 + v*j**4 + n*j + g and give v.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 1. Let i = 5.4 + -2.46. Let q = i - -0.06. Put q, -0.2, c in ascending order.\nAnswer: c, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 11:53 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in five quarters of a microsecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1297 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7\/3 + -5\/3. Let z = -2 - -1. What is the second smallest value in w, -1\/3, z?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + d**2 - d**2 + (4 - 1 - 1)*(3*d**2 - 5*d**2 + d**2) - 3*d**2 + 4*d**2 - 2*d**2)*(0 - 1 + 0).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5*i + 1. Let s be w(-1). Suppose 4*u = -5*x + 59, 4*x + 4 + s = 2*u. What is the remainder when 31 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5\/10 - 22\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 59, 60, 47, 14, -45, -136, -265?\n\"Answer: -i**3 - i**2 + 11*i + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.581 + -0.741. What is the smallest value in 5, -2, -3, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 102029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2959267.\nAnswer: 2959267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 562 - 9556\/17. Let c = 4.5 + -1.5. Let d(i) = -i**2 + 5*i + 6. Let v be d(6). Put x, c, v in decreasing order.\nAnswer: c, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b**2 - 20*b - 16. Let u(l) = -3*l**2 - 13*l - 11. Let m(k) = 5*p(k) - 8*u(k). Let g be m(6). What are the prime factors of (g\/3)\/((-2)\/15)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r. Let m be o(-2). Let v be (-25)\/(-9) + m\/18. Which is the closest to v? (a) 0.2 (b) -2\/7 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.5 + 2. Let a = -0.83 + 5.83. Put t, a, -0.2, -8 in decreasing order.\nAnswer: a, t, -0.2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -29. Let r = 18 - v. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v**3 + 164*v**2 + 134*v + 4. Is d(55) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 24 = -66. Let r be j\/(-9)*6 - 0. Let n = r - 10. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.1, 291, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 45271, 45312, 45353?\n\"Answer: 41*y + 45230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 0 - 1\/45*k**5 + 0*k + 2*k**2 + 1\/12*k**4 + 1\/540*k**6 + 0*k**3. Factor b(m).\nAnswer: 2*m*(m - 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 3027 = 4*j + 12*x, -2*j - 3*x - 1515 = 0. Let h = 1124 + j. List the prime factors of h.\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -30 + 1\/3*s**3 - 4*s - 3\/2*s**2. Factor y(a).\nAnswer: (a - 4)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23*(-62)\/(-713))\/(-1*1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -23 times -14615\nAnswer: 336145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -28b8526?\nAnswer: 28b8529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 11*l + 13. Let b be -1 - (0 - 1)*-9. What is the units digit of d(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**2 + 195*l - 192 = 0 for l.\nAnswer: 1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v**2 - v**2 + 0*v**2)*(2126 - 1950 - 2226) to the form t*v**2 + d + a*v and give t.\nAnswer: 4100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.68067604 to four dps.\nAnswer: 0.6807","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1140 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -49*m - 7. Let k(o) = 50*o + 8. Let v(g) = 5*d(g) + 4*k(g). What is the units digit of v(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2 - 4*g**3 + 2*g - 2*g - g. Let p be q(-1). Suppose -y = p*h + 2*h - 17, -4*h = 2*y - 16. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16877240 rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 + 97\/4. Suppose -135*h + 63*h = -96*h + 72. What is the closest to 3\/2 in h, 1\/3, 0.5, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*d**2 - 10\/7*d + 4.\nAnswer: -2*(d - 2)*(d + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*z - 60 = 0, -4*z + 34 = c - 0*c. Let l = 25 - c. Let b = -5 + l. Solve 4*t = -7*j + 2*j + 26, 4*t = 5*j + b for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 765399029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 30 = 3*t, -t - 962 + 969 = -4*j for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12773\/47 or -272?\nAnswer: -272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 e when three letters picked without replacement from {g: 3, e: 2, d: 6, f: 6, o: 1}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 298, 590, 882?\n\"Answer: 292*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*w - 4*w + 4*w.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -6*v. Suppose -3*x - 5*m + 534 = 0, 5*x - 4*m = -v*x + 890. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1479751 divided by 64337\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -7) + -2 - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 63*p - 488. What is c(9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9771, 20132, 30483, 40824, 51155?\nAnswer: 61476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 10:22 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -31559.72 to the nearest 100.\nAnswer: -31600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02378 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, e: 7, k: 12}. Give prob of picking 2 k and 1 b.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3615 (b) 4\/3 (c) 0.423\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/3 + 56*t**2 - 1912*t\/3 - 5984.\nAnswer: -2*(t - 68)*(t - 22)*(t + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 9. Let q(x) = 5*x. Let u be q(i). Is (-2130)\/u + 4\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 142290588 by -33.\nAnswer: -4311836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14\/51437 or -1\/21?\nAnswer: -14\/51437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -0*h - 11*h. Solve -3*t - 5*j = 2 - 0, -h*t = -4*j + 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -333247, -666500, -999765, -1333042?\n\"Answer: -6*u**2 - 333235*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5756, -45559, -153582, -363935, -710728?\nAnswer: -1228071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (11 + -3 + 0 + -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 543*t**5 + 543003*t**4 + 544914*t**3 - 540006*t**2 - 545457*t - 2997 = 0.\nAnswer: -999, -1, -1\/181, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**3 + 2*w**3 + w**3 - 6*w**3 + 163*w**2 + 5*w**3 - 3*w in the form a*w**2 + j*w + m*w**3 + d and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n = -19*n - 15, -4*p = 4*n - 68. Suppose -5*r - y + 295 = -3*y, -r + y + 62 = 0. Calculate the remainder when r is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -135.1 and -342999?\nAnswer: 46339164.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3452, -7011, -10586, -14183, -17808?\nAnswer: -21467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-35)\/(-5)*24\/126*9. Sort 5, 3, 1, p.\nAnswer: 1, 3, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 5. Suppose 2*b + 36 = d*i, i - 2*b + 3 = 11. Is i a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u - 10. Let w(x) = -x**2 - 4*x - 6. Let t be w(-4). Let b(a) be the first derivative of -3*a**2 + 29*a - 4531. Calculate t*b(n) - 17*v(n).\nAnswer: 2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73002194 - -25811194. What is r rounded to the nearest 1000000?\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 192 - 190. Suppose -d + 19 = g*h, d + 3*d - 111 = -h. Solve -7 = -t + 4*t + 2*y, -4*t + 5*y + d = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2 = -8, -3*w = 3*u + 27. Let d = -10 - w. Which is the third biggest value? (a) d (b) -1 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -732 - -332?\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 15*y**2 + 14*y + 34. Let k be p(16). Suppose -k*l + 372 = q, 9 = 5*q - 11. List the prime factors of l.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -58*r - 23. What are the prime factors of f(-4)?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -17, 0, -61, -3, -4 in decreasing order.\nAnswer: 4, 0, -3, -4, -17, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 2587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5204 + 5190. Let i be (-2)\/2 + 1 - -8. Let j = q + i. Let r(p) = -p**2 - 12*p - 8. Determine r(j).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 322, 389, 500, 655, 854, 1097?\nAnswer: 1384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 75.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z**0\/z*z))\/z)\/((z\/(z\/z**(-9)))\/z*z))\/(((z**(-1)\/z)\/z)\/z*z*z*z**(-2\/19)) assuming z is positive.\nAnswer: z**(192\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6476 - 3574. What are the prime factors of p?\nAnswer: 2, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*2 + -1 - sqrt(18)\/(sqrt(9)*2 + sqrt(9)).\nAnswer: -1 + 5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**4\/12 - 2*a**3\/3 + 4*a**2. Let q be b(8). Is (-4)\/q + (-8580)\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -0.01 (b) 0.1 (c) -0.3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 781313, 1562629, 2343945, 3125261, 3906577, 4687893?\nAnswer: 5469209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*h = -4132, -2*h + 1691 = -2*o + 39. Let q be 1393\/(-3)*15\/5. Let r = o - q. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2227 = -3229. What are the prime factors of q?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8800 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -93 + 1.7\nAnswer: -91.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7\/21)\/((-1)\/(-6)). Solve -4*h**3 + 5*h**p + 0*h**3 + 2*h + 3*h**2 - 6*h**3 = 0 for h.\nAnswer: -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36797 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 731 is divided by 3\/(-25 + 0 + 24 + 44\/43).\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**7\/1260 + q**4 - q**3 + 273*q**2. Let b(u) be the second derivative of s(u). Let z(i) = -69*i + 5. Calculate z(b(o)).\nAnswer: -138*o**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a hour in minutes?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20164 + 9*b - 20164.\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 47153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*17\/(-120) + (-7)\/(168*46\/276).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 99352653 to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 5:34 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 0)*(7752*t**2 - 3666*t**2 - 3366*t**2).\nAnswer: 2160*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwxkxkkwkxwwxkj. What is prob of picking 1 w, 2 k, and 1 x?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8768 is divided by 325.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - -5*(-4 - -3). Is o less than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by -143.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.6 + -0.6. Let f = -97 + 167. Let z = f + -70. Which is the closest to -0.1? (a) n (b) z (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 32.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiifiqiiniiqqni. What is prob of sequence qii?\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148130356.\nAnswer: 2, 11, 43, 59, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63856*l**3 + 3*l**2 + 1 + 11*l**2 - 3*l**2 + 5*l**2.\nAnswer: -63856*l**3 + 16*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 2*k - 5. Let w(p) = p**3 - 7*p**2 - 7*p - 14. Let o be w(9). Let r be (16\/(-10))\/((-34)\/o). Determine m(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + ((sqrt(110) + sqrt(110)*-1 + sqrt(110))\/sqrt(5)*3)\/(2*(sqrt(242) + (sqrt(242) + -2*sqrt(242) - sqrt(242)) - sqrt(242)))).\nAnswer: -8 - 3*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5522296 or 38656066\/7?\nAnswer: 5522296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 5*z = h - 54, -4*h + 5*z + 261 = 0. Let p be (h\/(-15) - -4)*-5. Solve 2*l - p = -7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 375 and 90?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 5*p + 186905, 5*t + 97*p = 95*p + 186863. Is 325 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361294 is divided by 45154?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - 1 - (115 + -94 + -84)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/((-9)\/(-4)) - -6)*(-3)\/24.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.34, 3\/4, 409, 0.4, -5, 18 in decreasing order.\nAnswer: 409, 18, 3\/4, 0.4, 0.34, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h - 6*h**2 + 6*h)*(-3*h**2 - 3*h**2 + 4*h**2) + 1 + 22*h**4 + 29*h**4 - 53*h**4 - 22*h**3.\nAnswer: 10*h**4 - 22*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21033546 or 21033545?\nAnswer: 21033545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2572 + 72*o - 2572 - o**4 + (0 + 0 - 2*o**2)*(30 + 21 - 25)*(-3 + 2*o**2 + 3).\nAnswer: -105*o**4 + 72*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-10 - (-1498)\/98)) + (-3796)\/91.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 211\/147630 and -13\/21660?\nAnswer: 5609940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*((-280)\/(-32) - 2). Calculate the greatest common divisor of f and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6061*o**2 - 3 + 3 - 6063*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -520\/9 + 7001\/126. Suppose -3*p - 1344 = -2*p. Let j = 26873\/20 + p. Calculate the common denominator of y and j.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 6*d**2 + 3*d + 2. Let w = 5 + 1. Let p be j(w). Let v = 135 - 132. Solve -4*c - 4 = -v*c - i, 5*c = 3*i - p for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 58074, 54368, 50660, 46950, 43238?\n\"Answer: -m**2 - 3703*m + 61778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, o: 1, b: 3}. What is prob of sequence ho?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -2*m + 3*m, -4*m = 5*w. Suppose i - 3*a - 2*a - 278 = w, -739 = -3*i - 4*a. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/((-2)\/(-5581)) - (8 - 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 3\/13, 2\/75, -21, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -327233 - -983007871\/3004. Calculate the common denominator of -101\/8 and a.\nAnswer: 6008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3813 and 93.\nAnswer: 3813","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1100010011 (base 2) to base 8\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 350 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*v - 300840 + 284652 = 72*v for v.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - (-4)\/4) + -1. Solve -v = -3*s - 0 - 14, -5*v - 6 = l*s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p - 2 + p**2 - 7*p + 3 + 0*p**2. Let z(y) = -y. Let h(u) = b(u) - 6*z(u). What is the units digit of h(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 294412459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 10230?\nAnswer: -10220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 3. Let x be 2\/57 + 3\/9. Let j = x - -70\/171. Which is smaller: j or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 714\/98 + 5\/(70\/(-4)). Let t(d) = -d**2 + 4*d + 13. Calculate t(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 4 - 13)*(-5*t**2 + 2*t**2 + 4*t**2)*(-t - t + 3*t)*(t + 1 - 1) to h*t**2 + s*t + b*t**4 + m + j*t**3 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ql when two letters picked without replacement from hhhqdhnqhqhqqhhnhhhl?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3526, -6980, -10434, -13888?\nAnswer: -17342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -927*h - 518*h - 465*h + 347*h.\nAnswer: -1563*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2078*f - 104. Let k(i) = 520*i - 23. Let g(t) = 9*k(t) - 2*m(t). Let o(r) = r**2. Determine g(o(j)).\nAnswer: 524*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 7. Suppose -3*y + v = -7. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2960 > 2960?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 23078806036 minus -0.25?\nAnswer: 23078806036.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 8. Let l = 16 + -6. Let q be l\/18 - n\/(-9). Which is bigger: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5109114671 to the power of 1\/2, to the nearest integer?\nAnswer: 71478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -702 = -8*z - z. Calculate the remainder when z is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00021396418 rounded to 7 dps?\nAnswer: 0.000214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-30.13.\nAnswer: 120.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2*1)\/((-2)\/(-2)). Let g = -28 + 29. Let v = 0.2 + 2.8. Which is the nearest to g? (a) r (b) -0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - h = 2*b - 20, 26 = b - 5*h. Find the third derivative of 4*x**2 - x**2 + x**b - 3*x**2 - 3*x**2 wrt x.\nAnswer: 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-835)\/15 + (0 - (-2)\/(-6)). Let d = k + 56. Solve -3*t + 4 = -d*t + 2*i, -2 = -2*t - i for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 422*l**3*n**3 - 293*l**3*n + 10*l**2*n**5 + 11*l**2*n**2 wrt n?\nAnswer: 2532*l**3 + 600*l**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.0454 in -1, 0.3, 0.2, 12, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (11\/2)\/((-2)\/(-4)). Suppose 16*s - 190 = a*s. What is the remainder when 111 is divided by s?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 + -24. Suppose -2 = -l + 1. Suppose l*h + c = 12. Calculate the least common multiple of h and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/1 - (-1651 - -1627). Let u = 0 - 0. Suppose -4*v - q + 17 = u, 2*v - 5*q = -0*v + 25. Solve -p = v*y + 26, y = -y - 2*p - f for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s + 5*p - 5 = 11*s, 5*s + 4 = 4*p. Let m be 8 + (-6 - (s - 9 - 2)). Solve 1 = -3*o + m for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*a = -176 + 745 + 60 + 281 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -5. Let u(o) = o - 992 + 992. What is u(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 4.1, -4\/14343 in ascending order.\nAnswer: -4\/14343, 0.1, 4.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.21 + 6.79. Which is the second biggest value? (a) 1 (b) v (c) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4501 - -0.5451. Sort 0.4, k, 5 in ascending order.\nAnswer: k, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62584.9 + -66988. What is m rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -6*h + 16. Let t(y) = -y**2 - 8*y - 8. What is the smallest common multiple of t(-6) and f(-3)?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -18, -25, -24, -9, 26?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 9.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5904230.4 nanoseconds in hours?\nAnswer: 0.000001640064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 27. Let d = 3 + w. Let k = 59 + d. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*l = 20, 4*c - 3*l - 8 = -5*l. Suppose c*y = -y + 70. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 - 1270*i + 1275.\nAnswer: -5*(i - 1)*(i + 255)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9327082?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2992*l. Let v(c) = -33*c**2 + 1. Determine v(s(n)).\nAnswer: -295418112*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 173*n**2 + 859*n + 859. What is f(-1)?\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l + 5. Let w be p(4). Let y(f) = f**2 + 31*f + 49. Let k be y(-35). What is the greatest common factor of k and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, b: 2, m: 4, r: 3}. Give prob of picking 1 w, 1 m, and 1 b.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3447 + 3450. Which is the fifth smallest value? (a) -3\/10 (b) -14 (c) 2 (d) 4 (e) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-1 + sqrt(176) + -2)*-2)**2.\nAnswer: -96*sqrt(11) + 735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**3*q**3*s**3 - 1843784*a**3*q**3 + a**3*q**2*s**3 - 3*a**3*s - 35*q**2 - 6996 wrt q.\nAnswer: -6*a**3*s**3 - 11062704*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -292923*r + 289616 wrt r?\nAnswer: -292923","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w + 11. Let o be 7\/(1*1\/(-1)). Let j be z(o). Let c(d) = d + 3. Let i(t) be the first derivative of t**2\/2 + 2*t - 25. What is j*c(n) + 4*i(n)?\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 70903.3436+-0.2\nAnswer: 70903.1436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 + 50421413?\nAnswer: 50421440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -309\/2 + 155. Let z(t) be the second derivative of 0 - 2\/3*t**3 - r*t**2 - t. What is the derivative of z(b) wrt b?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58c81 (base 14) to base 9\nAnswer: -358872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/29)\/r**(-2)*(r**13\/r)**(-35) assuming r is positive.\nAnswer: r**(-12124\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + o - 21, -o = -3*o + 2. Suppose 4*w = 5*q + l, -2*w = 5*q + w + 20. Let z(y) = -13*y - 16. Let x be z(-1). Sort x, q, -5 in descending order.\nAnswer: x, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from ijjijjijijijjjjj?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2029609376 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (6 - (7 - 0)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2001112 (base 4) in base 13?\nAnswer: -39ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 2420218941.\nAnswer: 2420218940.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1498070?\nAnswer: 2, 5, 7, 21401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(272))**2*3 + sqrt(119)\/(sqrt(448) - (-1*sqrt(448) + sqrt(448))).\nAnswer: sqrt(17)\/8 + 7344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - 1 - -2)\/10. Sort y, 1.6, -1\/7, -2.\nAnswer: -2, y, -1\/7, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 5*z**2 - z + 5. Calculate a(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z - 29. Let u be f(11). Let 22*r**4 - 32*r**u + 8*r**3 - 19*r**5 + 3 + 14*r - 3*r**5 - 7 + 44*r**2 - 30*r**4 = 0. What is r?\nAnswer: -1, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 414 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*p = -s + 206, 0 = 5*p + 5*s - 360. Let c = -6809 - -6843. Calculate the remainder when p is divided by c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a**2 + 19*a - 71. Determine z(7).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -62 + (-10 - (-13 - -16)) + 12.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -162 - -1299\/8. Let h = -0.2 - -0.1. Let b = -3052 - -3057. What is the nearest to h in 0, q, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**4\/5 - 6611778*z**3\/5 - 3642980583636*z**2\/5 - 2914367276310*z - 10928862409689\/5 = 0.\nAnswer: -1101961, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + s - 5)*(-2*s**3 - 7*s + 7*s) + (s + 1 - 1)*(s**2 + 6*s**3 - s**2).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6745 + 16703. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 4:02 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 531641?\nAnswer: 11, 17, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*k - 4*k - 3*k)*(-26 + 9 + 7)*(0 - 2 + 3) to m + c*k and give c.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.009? (a) 106 (b) -0.3 (c) -0.01 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 0 = -3, 3*u + 4*p - 1 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 2*f**2 + f. Let r = -24 + 176. Let n = r + -91. Let x = 62 - n. Determine p(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*u**2*v + 1402*u**2 + 854*u + 222*v - 12429 wrt u.\nAnswer: -6*u*v + 2804*u + 854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227873?\nAnswer: 227873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69 and 27?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -10*j**4\/3 - 132*j**3 + 210*j**2 + 2272*j\/3 - 328 = 0.\nAnswer: -41, -2, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61036?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*s = -0*s - 2, -3*s = -4*t + 8. Solve t*j - 16 = -4*l, 9*l - 20 = 4*l for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) 0.1 (c) 271\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 3*c = -16, 3*c + 8 = -14*p + 12*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 63866?\nAnswer: 63866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34996881.\nAnswer: 3, 29, 402263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(351)*1*-3)\/(((1*sqrt(189))\/sqrt(9))\/(1*(sqrt(7) + sqrt(7) + sqrt(14)\/sqrt(2)))).\nAnswer: -27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70359403.\nAnswer: 41, 103, 16661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*c - 5*c - 15*c)*(-2 + 1 + 2) + c + 3*c - 6*c + (0 - 1 + 0)*(-2*c + 2*c - c) to a*c + x and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22106 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (12\/8 + 54\/(-28))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/2 + (-7 - -8). Suppose 2*x - z = 8, x - 3*z - 13 = y*z. Is (-402)\/4*(-2)\/x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**3 + 3*b**2 - 4*b + 2. Let j be m(1). Let r be 116 + j\/((-2)\/6). Suppose 0 = 4*q - 177 - r. What are the prime factors of q?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -12 + 63. Let i(n) = 2*n**3 + 3*n**2 - 8*n + 4. Let j be i(2). Which is bigger: q or j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 7. Suppose -16 = 8*r - n*r. Let z be 1 - (r - 8\/(-2)). Solve -j + z*j - 12 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.12? (a) 3 (b) -0.1 (c) 0 (d) 1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 1 + 5 + 0 - 3*y - 2. Let w(p) = -p + 1. Let a(t) = -t**2 + 8*t - 1. Let l be a(7). Determine l*w(h) - v(h).\nAnswer: -3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yi when two letters picked without replacement from {f: 1, n: 4, i: 3, y: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-30)\/4)\/(16\/(-3104)). Suppose -4*s = -k + j, 6*k - k - 3*s = 7207. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*t + 19*t = 4*j - 152, -5*t = 4*j - 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + 2\/2)\/(-2). List the prime factors of ((-22)\/(-55))\/(u\/(-90)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2606 divided by 5?\nAnswer: 2606\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 o, and 1 x when three letters picked without replacement from {l: 5, o: 1, x: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 935, -2, -2011 in decreasing order.\nAnswer: 935, -2, -2011","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, -1, 5, -2 in decreasing order.\nAnswer: 52, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -2 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 13*n - 122. Let m be p(13). What is the derivative of -37*t**4 - 133*t**4 - 47*t**3 - 43 + 219 + m*t**3 wrt t?\nAnswer: -680*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -84, 12, 15, -5, -4, 103 in decreasing order.\nAnswer: 103, 15, 12, 5, -4, -5, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82609*k**2 - 41306*k**2 - 41301*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 3:27 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, w: 7}. What is prob of sequence pwwp?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 6. What is the closest to -2 in -1\/9, t, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-11 + 2 + 1)) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a centimeter in micrometers?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10756819?\nAnswer: 839, 12821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/11 (b) -2.3 (c) 0.007\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from zpzpzzzzz.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 20*z**5 + 452*z**4 + 2684*z**3 + 1452*z**2 = 0.\nAnswer: -11, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 16*m + 28. Determine k(15).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 337, 324, 297, 250, 177, 72, -71?\n\"Answer: -f**3 - f**2 - 3*f + 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-5))\/(3\/5). Let v(p) = 5*p**2 + 6*p + 8. Suppose z - 61 = 5*q, -5*z + q - 135 = -8*z. What is the remainder when z is divided by v(l)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 194274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -a - 81*a**4 + 82*a**4 - 4*a**2 - 9*a**3 + a**2 + 0*a**2 in the form p*a**4 + b*a**3 + n*a**2 + u*a + g and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 3*v**3 + 36*v**2 + 33*v = 0?\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 18. Suppose 0 = 2*t - m, 4*t - 3*m + w*m = 0. Suppose 2*j - 4 = -n - n, -3*n - j + 14 = t. Solve 2*v = -v - n for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3173 - 224?\nAnswer: -3397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(3\/2)\/(k\/(k*k**(-3))*k) assuming k is positive.\nAnswer: k**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*s**5 - 9*s + 0 + 35\/4*s**3 + 3*s**4 - 3*s**2.\nAnswer: s*(s - 1)*(s + 1)*(s + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-135)\/(-486)*-12)\/((-9)\/(-27)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*l**2 - 7 - 1 + 6 + 5*l**3 + 5 - 4*l**3 in the form m*l**2 + p + x*l**3 + i*l and give m.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-36)*((-144)\/(-312))\/(3\/(39\/2))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009928 rounded to four dps?\nAnswer: -0.0099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1066 or -209?\nAnswer: -209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-116)\/(-15) + -10 + 2\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5835, -8616, -11399, -14184, -16971, -19760, -22551?\n\"Answer: -m**2 - 2778*m - 3056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*w - 9 = 6, -4 = f - 4*w. Solve -1 = 3*a + f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**3 - 9*z**2 - 14*z + 48. Let f be x(5). Suppose -1 = 2*t + f*s, 13 = 3*t + s - 3. Solve 4*j + t = -g, 2*g - 5*g + 15 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -10*n - 13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3745*h**3 - 15*h**2 - 433034?\nAnswer: -11235*h**2 - 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 3*a + 3253 - 3211, -6*a - 2*q - 105 = 5*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llgtttltlvv. What is prob of sequence lv?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63 + 7*l**3 + 37*l**3 + 28*l**3 wrt l.\nAnswer: 216*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 883\/2 - 444. What is the nearest to h in 1\/6, -0.14, -0.3, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 9*z + 11. Let n be j(8). Let p = 58 - 53. Suppose 2*g - 7 = 4*b + g, 0 = p*g + 25. Put -0.5, n, b in descending order.\nAnswer: n, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7\/514 - -5485\/176302. Which is greater: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 minus 0.0035?\nAnswer: -10.0035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.51667*1.867.\nAnswer: -2.83162289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*i - 4*i**3 - 39*i**2 - 15*i - 5 - 14*i + 20*i**2 - 26*i**2 wrt i?\nAnswer: -24*i - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a millennium in decades?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 776452 and 7764520.\nAnswer: 7764520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(-1\/4)))**(1\/8))**(-5\/11)*((j**(4\/5)\/j)\/j*j**(2\/5))\/(j*j**(-1\/11)*j**(-1\/3)) assuming j is positive.\nAnswer: j**(-7339\/5280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.9024 + -2.1024. What is the nearest to -20 in 169, s, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113123 (base 4) in base 5?\nAnswer: 21444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 - 28. Let p(t) = -f*t + 10*t + 10*t. Let o(n) be the first derivative of -n**3\/3 + 89. Give p(o(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in -5, -3\/8, -23\/5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -3*r**5\/2 - 1582*r**4 - 20987*r**3\/2 - 14135*r**2 + 13636*r + 12576 = 0.\nAnswer: -1048, -4, -3, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9577 (base 16) in base 10?\nAnswer: -38263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2035 (base 9) to base 8.\nAnswer: -2722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -18773034.\nAnswer: 5\/9386517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 + -21. Let l be 11\/((-132)\/(-80))*(-6)\/(-4). Let b(h) = 2*h + 3. Let z be b(l). Solve 0 = 2*i + 2*i - 5*q + a, 3*i + z = 4*q for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -157 - 244. Let h = 404 + z. Let l(a) = -3 - 1 - 2*a + 1. Let d(n) = -2*n - 2. Calculate h*l(r) - 4*d(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 1:53 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -778677089*o**3 + 1039232711 wrt o.\nAnswer: -2336031267*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**2 - 55*j**3 + 2*j + 0*j + 0*j**2 + 57*j**3 to the form n*j**2 + g + f*j + k*j**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 + -2333220?\nAnswer: -2333311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2151 + 2133.01. Let a = o + 18. Let n = a - 0.21. What is the smallest value in 0.5, 2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 13. Which is greater: 7 or b?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 2\/1302715721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = l + 3*g, 4*g = -5*l + g + 15. Let y(i) be the second derivative of 0 + 2*i**2 - 1\/2*i**l - 4*i. What is the first derivative of y(z) wrt z?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 118.2, 0.1, -1.5, -6\/95?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -305 in ascending order.\nAnswer: -305, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 12 = -0. Let s be ((-15)\/120)\/(1\/(-4))*g. Solve n = -s - 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12554)\/(-30)*(-3)\/(-2). Let c = -2493\/4 + g. Find the common denominator of 186\/(-36) - 3\/27 and c.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4513631 and 217?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25080)\/(-17556)*(-364)\/8.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -9*f**2 - f. Let d be l(1). Let a be -1 - 1\/((-2)\/(-12)). Let w = a - d. Solve 4*o - 2*u - 6 = 16, -w*u + 22 = 5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16461 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8155676?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -17*z. Suppose -3*n + 1 + 6 = -4*p, 4*p = -2*n - 22. Let o(l) = -21*l. Let u(c) = 171*c. Let b(r) = p*u(r) - 33*o(r). What is b(w(h))?\nAnswer: -153*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s + 6*s + 6*s + s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -365 greater than or equal to -364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-7)\/(-7))\/((-46)\/8))\/2?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o**2 - 3*o + 5. Let v(u) = 3*u**2 + 2*u - 4. Determine 5*h(d) + 6*v(d).\nAnswer: -2*d**2 - 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iifhfifyhhhhwfwhiwh. Give prob of sequence whh.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 6 = 2*h - z, 3 = -4*h - z. Solve h*t + 25 = 5*k - 5*t, -2*k - 2*t - 6 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 31108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 3*c = -72. Let o = c - -28. Suppose -4*q + 7*q + 4*h - 49 = 0, h = -2*q + 31. What is the highest common divisor of o and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 397440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 0 + 51\/(-45). Suppose 4*s + s - 20 = 0. Suppose 3 = s*z + 7. Which is the closest to z? (a) t (b) 1\/4 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134 = 10*c - 84 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -103 (b) 1 (c) -1\/18 (d) -6\/11 (e) 2\/15 (f) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164876 + 71380 = 899*b for b.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3305, -6085, -8891, -11723?\nAnswer: -14581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1183751 + 23650449\/20. Let p = 1230 + m. Calculate the common denominator of p and 59\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**3 - 8*f**2 + 12*f - 15. Let a be z(3). Suppose 0*v - 3*v = a*u - 30, 0 = -v - 3*u. What is the highest common factor of v and 315?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 w when four letters picked without replacement from wwwwsswsss.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((0 + 4)\/(-16)). Let i be (r - 1)*15\/9. Solve -3*h + 7 + i = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0026566 rounded to 4 dps?\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-eight fifths of a decade?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8281 and 10716433.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -40*m**2. Let g(v) = -611*v**2 - 286*v. Let k(j) = 17*j**2 + 8*j. Let z(a) = 4*g(a) + 143*k(a). Determine -2*x(l) + 7*z(l).\nAnswer: -11*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/(-4 - 0\/(-5))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 - 2680*t**2 + 97753*t + 100434.\nAnswer: (t - 2643)*(t - 38)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5731446?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/((-378)\/(-12)))\/((40\/15)\/(-4)). What is the fifth biggest value in -8\/15, -3, -3\/7, -5, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -10*a**3 - 3*a**2 + 3. Calculate y(-3).\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 5*w + w + 2*w - 9*w. Let k be ((-2)\/(-3))\/(-3*(-2)\/18). Let f(l) = 14*l**2 + 2*l**2 - 11*l**k. Calculate q(f(t)).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3157\/121126?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-75)*(-10)\/4. Is a less than or equal to 0.29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -526*f + 518*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/10 - (-1)\/(-2). Suppose 0 = -5*d + u + 540, -216 = -2*d - 6*u + 8*u. Let p be (1\/(-4))\/(d\/720). Which is the closest to 1? (a) x (b) 0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-747)\/360 + (-222)\/(-185))*6\/21.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 1 - 5, 22 = 2*g + z. What is the third derivative of -4*v**5 - v**2 - 11*v**5 + 3*v**5 + g*v**2 wrt v?\nAnswer: -720*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35860 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 59. What is the first derivative of z - 58*k + 5 - 2*k**2 - 13 wrt k?\nAnswer: -4*k - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -33 from -52.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 10*g**2 + 3*g - 9. Let n(v) = 20*v**2 + 7*v - 17. Let w(f) = -7*m(f) + 4*n(f). Suppose 0 = 547*q - 539*q - 16. List the prime factors of w(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*s + 95*s = -417 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 6 (b) -48 (c) -2 (d) -0.3 (e) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) 32 (c) -2\/117 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 8*u**2 + 3*u + 1. Let f(p) = -7*p**2 - 4*p - 1. Calculate 3*f(x) + 4*g(x).\nAnswer: 11*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2935 + 2859 = 4*z + 3*c, -4*z + 126*c - 76 = 0 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 19 = -4*p, 35 = 18*o - 13*o + 5*p. Solve -3*c = -5*q + 19, -o*q + 4*q = 3*c - 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2220202001 + 12?\nAnswer: -2220201212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 1, -111?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -101110200 (base 4) in base 6?\nAnswer: -1304240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 35408*t - 10476606.\nAnswer: -2*(t - 17403)*(t - 301)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = w. Suppose z - 8 = -3*z. What is the third derivative of -x**z - 5*x**6 + 3*x**6 + w*x**2 wrt x?\nAnswer: -240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402586.\nAnswer: 2, 101, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + ((-50)\/(-17) - 4) + 6. Is 0 smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29513\/1876 + 1200\/67. What is the common denominator of -113\/56 and c?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -12 + 18 - 4 - -1. Let g(m) = 5*m - m + 14*m**3 - 7*m**3 - 2*m + m**2. Let f(y) = -4*y**3 - y. What is b*g(h) + 5*f(h)?\nAnswer: h**3 + 3*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of t**3\/2 + 13*t**2\/2 + 6*t. Let u(b) = -b**2 + 9*b + 3. Let v be u(8). Is 17 a factor of z(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2070, 8358, 18852, 33552, 52458?\nAnswer: 75570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 25. Suppose 3*w - 20 - d = 0. Calculate the lowest common multiple of 16 and w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180029 and 7102?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*u - 5763 = 5*r, 0 = 3*r + 2*u + 3454. Let o = r + 1787. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + sqrt(27)) - sqrt(30)\/((sqrt(50) + sqrt(150)\/sqrt(3))\/sqrt(5)) - ((sqrt(3) + -1 + 0)*5 + sqrt(48)\/sqrt(4) + 2).\nAnswer: 7 + 9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/sqrt(44) - (sqrt(18) + sqrt(162))**2.\nAnswer: -288 + sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -703*w + 544*w = -2385 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3807585 and 140?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*m**2 - m - 4*m + 5*m.\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2.586, -0.1 in ascending order.\nAnswer: -2.586, -0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 6:49 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -242 + 242. Solve t = 13*h - 9*h + 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/6)\/((-8)\/7716). Let i = -348 - y. What is the common denominator of -67\/4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 + 3*o**2 - 3*o**2 + (-2*o + 1 - 1)*(-2*o + 0 + 0) + 3*o - 3*o + 2*o**2 + 5*o - 3*o**2 - 5*o - 4 + 4 + o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 60206*n. Let o(x) = -3*x. Calculate o(q(b)).\nAnswer: -180618*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p = -0*p - 60 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101.6299999281 - 101.63. Round i to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and -4692600.\nAnswer: -4692605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197744 - 65489 + y + 52617.\nAnswer: y + 184872","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llvli. Give prob of picking 1 i and 1 l.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a8 - 6d4b5?\nAnswer: -6d56d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v - 7. Let y be f(9). Solve u + q - 12 = 3*u, y*u + 16 = 3*q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 116 = -t, 5*b + 128 = -0*b - 3*t. Let g be ((-4)\/(-14))\/((-4)\/b). Suppose -2\/5*j**g + 2\/5*j**4 - 2\/5*j + 0 + 2\/5*j**3 = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35893*u - 110 + 5 + 35881*u.\nAnswer: -12*u - 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 267188382 and 9895866.\nAnswer: 267188382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 69*g + 1. Let x be p(10). Suppose 3*f - x - 158 = 0. Let h = -188 + f. Calculate the least common multiple of 3 and h.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 26.74331 millennia?\nAnswer: 320919.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l + 16. Let u(f) = 21*f**2 - f + 8. Let w(q) = 2*q**2 - q + 8. Let a(s) = u(s) - w(s). Give a(n(r)).\nAnswer: 76*r**2 - 1216*r + 4864","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 265058593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -9*x + 12*x - 14, 5*v - 40 = -5*x. Solve -x*g + 1 = 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -13\/61, 15, -3\/4, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*i**2*r**4 - 62*i**2 - 4*i*r**2 - 22*r**3 wrt r.\nAnswer: 96*i**2*r - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -50*v**4 - 2618*v**3 + 3*v + 1 + 2618*v**3 wrt v.\nAnswer: -600*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = -4*h - 30. Let p(g) = 6*g - 4. Let j(y) = -5*y + 3. Let w(q) = h*p(q) - 4*j(q). Let d(x) = -1 - x + 1. Determine w(d(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7 - 0.4. Let f = -0.16 + -0.8. Let t = f + 1.03. Which is the second biggest value? (a) 0 (b) t (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 12*t. Let x(r) = 9303*r. Determine x(a(g)).\nAnswer: 111636*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 332101551 (base 6) in base 13?\nAnswer: 1314c82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18358241537\/15801610 + -679\/143651. Let x = v + -5801\/5. Calculate the common denominator of ((-114)\/32 - -1) + 0 and x.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*u + 12 - 12.\nAnswer: 52*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**4 + 5*y**4 + 2*y - y - 2*y - 2*y**2 to f*y**2 + u + r*y + h*y**4 + s*y**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -x**4\/2 - 8*x**3\/3 - 2*x**2 + 1. Let u be z(-5). What is the greatest common divisor of 28 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4 = u. Let x(c) be the first derivative of -c**4\/4 - 5*c**3\/3 + 7*c**2\/2 + c + 2. Let v be x(-6). Sort v, 0, u in increasing order.\nAnswer: v, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, n: 7, m: 1}. Give prob of picking 2 n.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 - q**2 + q**2 - 5*q**2.\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*((-1 + 3 - 4)*(-2*h + h + 3*h) + h + 0*h + 0*h)*(1 + 4 - 4)*(19 + 17 + 6*h - 33).\nAnswer: -18*h**2 - 9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3200790, 6401581, 9602372?\n\"Answer: 3200791*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 201, 593, 985?\nAnswer: 1377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 1.4 (c) 0.5 (d) 44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 5*i**2 + i - 3. Let o be l(-4). Suppose 0 = -2*t - 1 + o. Suppose -t*j + 214 = -50. What are the prime factors of j?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 405196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1580890015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 11) to base 15\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - -2 - 1 - 3. Suppose q*t - 30 = -4*y, -5*t = y + 15 - 45. What is the remainder when t is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 12:55 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 167.1163 millennia in decades?\nAnswer: 16711.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 6 - 7. Let y be 0\/((1 + a)*-1). Suppose -5 = -y*w - 5*w. Which is smaller: 1\/4 or w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 84*g + 66*g + 0 + 1 - 2. Is z(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6744 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 58261.35.\nAnswer: 58262.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0377 - -0.0223. Suppose -14 + 4 = 5*p, q + 16 = -p. Let s = q + 19. What is the closest to -0.1 in -0.2, s, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**8\/(((t*t**(3\/8)*t)\/t)\/t*t))**49*(t**(1\/3)\/(t**(2\/7)\/t))\/(t**(1\/2))**(-3\/16) assuming t is positive.\nAnswer: t**(218915\/672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -899240*x. Let u(f) = 9*f**2. Calculate u(d(b)).\nAnswer: 7277693198400*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k - 4. Let l(u) = -2*u + 4. Give -3*b(m) - 4*l(m).\nAnswer: -m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (1466 + 435 - 715)*(-g**2 + 45*g**2 + 34*g**2 + 42*g**2 - 19*g**2) as c*g**2 + u + l*g and give c.\nAnswer: 119786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p + 13*p**3 - p**2 + p + 2*p**3 + 15*p**3 - 1. Is f(1) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03845753921 to 3 dps.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 j, and 2 h when four letters picked without replacement from {b: 2, h: 7, v: 3, q: 1, j: 1}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2125*v + 68 = -2108*v. Suppose 4*f - 3*f = -2*p + 213, 2*f - 212 = -2*p. What is the least common multiple of p and v?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 134571 and 589?\nAnswer: 2556849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-471 - -408) + (-48524)\/(-770).\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a + 4*a**3 - 3 + 7*a**2 + 5*a**3 - 10*a**3 - 3*a. Let i be j(7). Let t(z) = 4*z - 3. List the prime factors of t(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t - 5. Let y be v(-5). Suppose -4*g + 16 = -y*g. Suppose g*r - 22 = -5*i + 31, 2*r = -5*i + 49. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m. Let v(f) = 12*f**2 + 2*f. Determine p(v(z)).\nAnswer: -12*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, z: 8, m: 6, h: 1, x: 2, d: 1}. Give prob of picking 1 m and 1 v.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 62752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - 2*u - 1144. Suppose 0*o - 64*o = 256. What is the tens digit of u\/(-39)*(-18)\/o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-3) - (-5)\/1. Let p be u\/6 - (0 + 1). Let q = -13 + 12.7. Which is the third smallest value? (a) p (b) q (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 156.02588 + -0.1\nAnswer: 155.92588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3*4*sqrt(1911) - sqrt(1911)))\/((sqrt(675)*1 - sqrt(675)) + (sqrt(2700) - (-2*sqrt(2700) - sqrt(2700)))).\nAnswer: 91*sqrt(13)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 351353163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 6*d + 7. Let s be j(2). Put -2\/33, s, -5 in ascending order.\nAnswer: -5, -2\/33, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65768a (base 13) to base 9.\nAnswer: -4437400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, x: 8}. What is prob of picking 3 x and 1 d?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -17*k - 56. Let a be b(-10). Suppose -y + a = -2*h, -4*y + 311 + 115 = 2*h. Calculate the lowest common multiple of y and 14.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**2*l**3 + 2*a**2 - 38*a*l**3 + 18*a*l**2 - 41232*l**3 - 157*l - 2 wrt l?\nAnswer: -6*a**2 - 228*a - 247392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -15*w + 1. Let o be p(-1). Let s = -20 + o. What is the nearest to s in 0.4, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169 divided by -1.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.8 - 0.8. Let y = 0.3 - 0.2. Let l be 44\/(-36) + (-1)\/(-1). What is the nearest to y in 1, l, k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n**2 - 23*n + 16. Let f be w(11). What is the highest common divisor of f and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/7 at most as big as -29850?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 1180 = 4*b - 4*d, -4*d = 0. List the prime factors of b.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - ((-8 - 0) + 22 - 7)) + 3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + z - 3*z)*(-4*z**2 + 3*z**2 + 3*z**2) + 0 + z**3 + 0 + 2*z - z**3 - 2*z + (2*z**2 - 2 + 2)*(-5*z + 3*z - 3*z).\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 322330012 (base 4) in base 10?\nAnswer: 241414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -224 in -0.3, 1, 3, 3\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 11 = d, -2*d + 4 + 6 = 2*q. Let b(z) = -z**2 - 2*z - 6*z - z**3 - 2 + d*z. Let i be b(-2). Sort -4, i, -1 in descending order.\nAnswer: i, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 30 = -6*c + 2*c, -3*c + 17 = -y. What is the closest to -0.1 in 2\/3, -3\/2, y?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8163 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28412 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.575 + 0.175. Let f = 46 + -43. What is the fourth biggest value in -1\/5, f, -3\/10, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 547715 and 7770?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**19)\/(m**(3\/14)\/m))\/(m**(-13)*m**(21\/2)) assuming m is positive.\nAnswer: m**(163\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7*(22 - (-4400)\/(-175))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 10716.1259?\nAnswer: -2143.22518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6)\/8*-4 + 108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w - 32 = 7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2794711 is divided by 18266?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -816*c**5 - 27*c**4 + 28581*c**2?\nAnswer: -48960*c**2 - 648*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1837.499 kilometers in millimeters?\nAnswer: 1837499000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**3\/f**(-11))\/(f**(4\/5))**15)**(-48) assuming f is positive.\nAnswer: f**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000010100010001111011 + 0?\nAnswer: 11000010100010001111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -296368 (base 10) to base 12\nAnswer: -123614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 55 - 6*k**2 - k + 5*k**3 + k - 57 - 23*k**2 - k in the form y*k + w*k**3 + l + z*k**2 and give z.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -128*h**2*n**2 - 5*h**2*n - 5011*h*m*n**2 - h*m*n - 5*m*n**2 + 6*m + 4672*n wrt n.\nAnswer: -256*h**2 - 10022*h*m - 10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2 - 96*r + 140. Let q(x) = 2*x**2 + 97*x - 134. Let p(d) = 6*q(d) + 5*v(d). Factor p(g).\nAnswer: 2*(g - 1)*(g + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02 - -1.02. Let q = -1.1 + j. What is the smallest value in 2\/7, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 44\/1233?\nAnswer: 44\/1233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/(-78))\/(2 - (-56)\/(-26)). Suppose 0 = 2*l - 0*l + 5*m - 53, -5*l = -t*m - 118. What is the remainder when 191 is divided by l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 145664158 by 72832079.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 take away 358.035913746?\nAnswer: -274.035913746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4. Let o = 1 + -3. Let c(g) be the third derivative of 0 + 1\/24*g**4 - 27*g**2 + 0*g - 3\/2*g**3. What is o*c(y) - 5*r(y)?\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6462*q - 246*q - 295*q to the form s + i*q and give i.\nAnswer: 5921","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 4*q**2 + 10*q - 7. Let o be a(4). Suppose 7*f = 23 + o. Solve 4*c + 1 = -15, 4*g - c = f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404*y**4 - 995464*y**3 - 19308*y**2 + 995464*y + 19712 = 0 for y.\nAnswer: -2464, -1, -2\/101, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.4 - 4.5. Which is the second biggest value? (a) w (b) 6 (c) -0.3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - (3*sqrt(85)*-6 - sqrt(85)))*4*-6)\/((sqrt(180)\/sqrt(4)*4)\/(-2*sqrt(144) + sqrt(144))).\nAnswer: 480*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o**2 + 1. Let s be m(-1). Let g be (-2 + s\/(-2))*-10. Suppose -g - 25 = -2*b. Calculate the remainder when b is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6940627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 v when two letters picked without replacement from pvvrllvppvvvrpvv.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5*x**2 + 32. Let q(k) = 7*k**2 + 18. Let n(s) = -6*s**2 - 15. Let d(t) = 6*n(t) + 5*q(t). Calculate z(d(l)).\nAnswer: 5*l**4 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*u - 4*k, 3*k = -u + k - 10. Suppose u*c = 4*c - 12. Suppose 4*f - 5*z = f + 25, -4*f + c*z + 15 = 0. Solve -l + 0*l + 5 = f for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 77*j + 18 = -76*j, -20 = -2*q + 5*j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4*(-234)\/81 + -4)*80\/240.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283974 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y = -22*y - 3*q - 27, 3*q - 45 = -5*y. Let d = -90 + 32. Let l = 75 + d. Calculate the lowest common multiple of y and l.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(125) + 0 + ((sqrt(40)\/sqrt(4))\/sqrt(2) - sqrt(5)) - (sqrt(605) + 0 + sqrt(605) - sqrt(15)\/(sqrt(12)\/sqrt(4))))**2 + -2)*-1.\nAnswer: -1275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18601*b**3*u**3*z - 11*b**3*u**2*z + 2*b**3 - 30*b*u*z + 40*u*z wrt u.\nAnswer: -111606*b**3*u*z - 22*b**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/51))**(-37) assuming f is positive.\nAnswer: f**(-1961\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*k + 160 = -4*t, 0 = 4*k + 737*t - 742*t - 44 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x + 3 - 9\/4*x**2 + 3\/2*x**3 + 3\/4*x**4 = 0. Calculate x.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5772*r**3*z + 1224*r**3 + 2038*r**2*z + 213*z wrt r?\nAnswer: -34632*z + 7344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-20))\/((-10)\/520*-26).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-2*sqrt(2) + -1.\nAnswer: -1 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -69 - -73. Suppose -2*a - a + 3 = w*d, -3*d = -2*a + 2. Is -2\/253 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2735)\/(-20) + 2\/8 - 5 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**2 - 1 + 0*g**2 + g**2 + 0 - 2*g**2 + 0 + (0*g + 2*g + g)*(4*g + 0*g - 6*g).\nAnswer: -9*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15645?\nAnswer: 3, 5, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zvvvvvtrvvrvvtvtvzrz. What is prob of picking 1 t, 1 r, and 1 v?\nAnswer: 33\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/3)\/2*(-14)\/(-21)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-5))\/(y\/(y*y**(2\/15))))**(-10) assuming y is positive.\nAnswer: y**(116\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 10 + 11 = 0. Suppose 4*k + 5 = -q, 0 = 2*d - 5*k - 21. Suppose -2*p = 0, -4*l = -d*p + 3 - 11. Solve -4*a = -18 - l for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 + -9. Suppose -4*m = -2*p - t, -m - 4 = -2*p - 3. Solve 2*i = -p - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 8) to base 13.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 9, i: 5}. Give prob of picking 4 i.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + 4 + -6*(sqrt(2548) - (sqrt(2548) - (sqrt(2548) + 0)*6)) + 5))**2.\nAnswer: -40320*sqrt(13) + 13209232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488 is divided by 165?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3528.66 millennia?\nAnswer: 35286.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j + 0*j**4 + j**3 - 5*j**4 + 0*j**4 + 3 + 3*j**4 to the form t*j**3 + l*j**4 + x*j**2 + p*j + s and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9152)\/(-256)*(-120)\/(-165).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 170357.3 tonnes in milligrams?\nAnswer: 170357300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2. Let c(i) = -2534*i. Give c(d(r)).\nAnswer: -2534*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**3*s**3 - 16071*i**3*s - 2*i**3 - 988*i*s + 8*s**3 wrt i?\nAnswer: -6*i*s**3 - 96426*i*s - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 6*f**2 - 4*f - 5. Let s be h(-4). Let u(i) = -i**3 - 21*i**2 + i - 3. Let q be u(s). Is (-10074)\/(-8) + (-5 - 114\/q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 10*p - 8*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 52\/12)*-3. Let k be -3*b*(-540)\/(-9). What is k rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 105*j - 733. Let p be w(7). Solve -2*r - 5*i = -4*r - 3, -5 = -p*r - 3*i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9}. Give prob of picking 2 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*o*o**(-38))*o**(1\/4) assuming o is positive.\nAnswer: o**(149\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 51. Let q(s) = 10*s + 16. Let p be q(-9). Let d = p + 51. Does z = d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 144078731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-274*n + 1 + 276*n + 2)*(40*n - 4*n + n).\nAnswer: 74*n**2 + 111*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**3 + 39*k**2 + 62*k + 16. Let i be f(21). Which is the nearest to -33? (a) 1 (b) i (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -84.03 - -84.034143. Let n = 0.1 + -0.104. Let u = p + n. What is u rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, v: 1, z: 1, f: 1, q: 2, t: 2}. Give prob of sequence vq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 47, -3\/38, 0.2, 1, -5.\nAnswer: -17, -5, -3\/38, 0.2, 1, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3016\/87)\/((-2)\/(-42))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 757 + -491. Is 22 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and 0.4.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 107 + 68 = -g, -o + 13 = -4*g. Solve -t = -o + 18 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003527866 rounded to 6 decimal places?\nAnswer: -0.003528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -2*r**7\/105 + r**5\/5 + r**4\/3 + 89*r**2. Solve g(s) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1408?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104680157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -8*g - 350. What is b(-60)?\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5299 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*c - 7*c - 7*c)*(4*c**3 + c**3 - 2*c**3) - 4*c**4 + 0*c**4 + 2*c**4 to d*c**2 + m + v*c**4 + o*c**3 + l*c and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/24)\/(63\/252))\/(52\/(-24)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221 (base 3) to base 15.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, o: 2, f: 3, g: 5}. Give prob of sequence go.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - v - 76 = -25, -2*v + 52 = 3*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -16*s**3 - 3*s**2 - 5*s - 7. Is f(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 722810653.\nAnswer: 3727, 193939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 + -0.64. Let g = -0.4 + v. Which is greater: 2 or g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z\/(z*(z**(-2\/7)\/z*z)\/z*z*z)*z)\/z)*z**(-10))**(-2\/15))**(-15) assuming z is positive.\nAnswer: z**(-116\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*x - 12. Suppose -2*r - 16 = -y + 3*y, y - 5*r + 14 = 0. Let h = y + x. Calculate the least common multiple of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -946106531, -946106532, -946106533, -946106534, -946106535, -946106536?\n\"Answer: -n - 946106530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16817 + -16778. What is the greatest common factor of 609 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 147 - 105. Suppose 5*p - 3*p - 29 = f, -3*f - v = -3*p. Suppose 0 = -p*h + 17*h - 156. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + 4*y + 47, 0 = 3*m + y + 243 - 229 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 24357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -26, 1\/3, 0.4, -0.2, 10, 0.95, 1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ogg when three letters picked without replacement from ogvg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -217.466 rounded to the nearest 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 49 and -0.3.\nAnswer: -14.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -9*y - 1. Suppose -7*j + 48 = -3*j. Let m(z) = z**2 - 12*z - 4. Let k be m(j). Does 14 divide c(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 559 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97 + -93. Suppose w - o + 2*o = 7, 5*w - 33 = -n*o. Solve w*f - 13 = -3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**4 + u**4 + 0*u**4 + (188 - 188 + 6*u)*(u**3 - 19 + 19)*(-5 - 1 + 1).\nAnswer: -32*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 205, 398, 593, 790, 989?\nAnswer: 1190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 29, 31, 21, -7, -59, -141, -259?\n\"Answer: -y**3 + 9*y + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -55258.47 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 569*j = 187*j - 6112 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (-1)\/22*-241. Let d = -105\/11 - m. Let p = 11224 + -56057\/5. What is the common denominator of d and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*s + 261. Let i(p) = -112*p**2. Let y be (10 + -11 + 13 - 11)\/((-8)\/32). Let a(w) = 7*w**2. Determine s*a(b) + y*i(b).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -27, -172, -419, -774, -1243, -1832?\n\"Answer: -m**3 - 45*m**2 - 3*m + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8689000 rounded to the nearest one hundred thousand?\nAnswer: 8700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 0, 5*h + 36 = -3*b + 6*h. Sort b, 3, -7 in descending order.\nAnswer: 3, -7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22694?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77189\/37456 - 4\/2341. Let n = -31747\/16 - -1980. Find the common denominator of q and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 - (-48 + 18 + -14)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + 2*p + 2*p)*(-17*p - 136 + 25*p - 9*p).\nAnswer: p**2 + 136*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 h when four letters picked without replacement from ivviviiihhvvhih.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2495, -1063, 1335, 4705, 9053?\nAnswer: 14385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 112 = -3*z + 114, 4*z + 20 = 3*w for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/65 and 69\/20.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13*(-2)\/(-104)*-52*-1. Let u = 3 + -4. Let g(v) = 117*v**2 - v - 1. Let f be g(u). Calculate the greatest common divisor of d and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - 0. Let v = 2869 - 2869.2. Which is the closest to -0.1? (a) v (b) -4\/3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180 divided by 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 64 (c) -0.01 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + l)*(1 + 5425*l + 2 - 6578*l).\nAnswer: -1153*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5616 (base 8) to base 3.\nAnswer: 11001120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d - 3*y = 151, -4*d + 2*y = -154. What is the remainder when 199 is divided by d?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 565212 and 1338660.\nAnswer: 25434540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 17 = 4*d, 5*d = -2*h - 3*h - 15. Suppose 3*k = 5*m - d*k, -5 = m - 2*k. Solve -n + 1 = m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 4:44 PM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 5*d - 15 = 0. Suppose 45 = d*z - 42. Which is bigger: 28 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (1 - 0) + (143 - 139) + 5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 1:40 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 298\/15 - (392\/210 - 2). Calculate the greatest common divisor of p and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 11*a**2 + 4*a + 47. Determine d(10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 79965, 79970, 79975, 79980, 79985?\n\"Answer: 5*x + 79960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u - 20. Let y(b) = -2666*b + 5331*b - 2667*b. What is y(o(z))?\nAnswer: 4*z + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 13*m + 26. What is the remainder when 645 is divided by s(-12)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 - 172 + 347 + 0*a**3 + 66*a**2 - 27*a**2 - 167 to x + u*a + m*a**2 + q*a**3 and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -26, 3, -8, 58 in decreasing order.\nAnswer: 58, 3, 1, -2, -8, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nfenannazaaznanea. What is prob of picking 1 f and 2 n?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*k**2 - 2894*k - 235 + 2894*k.\nAnswer: -16*k**2 - 235","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26147486 rounded to four decimal places?\nAnswer: 0.2615","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 493.7 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 8:07 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 8.6, 2\/13, 1.7, 0.\nAnswer: -1, 0, 2\/13, 1.7, 2, 8.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11140\/(-740) + 15 + -10 + 10.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**3 + 2*l**2 - 1. Let r be v(1). Let c(a) = a**2 + 2*a - 5. Let k be c(-4). Suppose -97 = -r*i + k. Find the common denominator of i and -41\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -119601\/5 or -23920?\nAnswer: -23920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-32))\/((-2)\/(-10)) - 1\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000100100000110010 (base 2) in base 11?\nAnswer: 340878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 5*x - 25, -30*x + 6*k = -29*x - 30 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1882 a factor of 23143729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -87*v**5\/20 - 43*v**4\/4 - v - 25. What is the third derivative of k(x) wrt x?\nAnswer: -522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -17*z**4 - 4*z**3 + 12*z - 4. Let v(d) = -d**4 - d**3 - 1. Let w(l) = t(l) - 4*v(l). Find the second derivative of w(j) wrt j.\nAnswer: -156*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 101 + -72 + -22 + 35?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 6*q**3 - 2)*(0 + 2 + 0) - 4*q**3 + 0*q**3 + 2*q**3.\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -4*k - 3. Suppose 0*l = 5*l. Suppose k = 2*n - l*n. Calculate the least common multiple of n and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3230, -3155, -3036, -2879, -2690?\nAnswer: -2475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 168035 divided by -1?\nAnswer: -168035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*x + 6 = -4*v, 0 = -5*v - 3*x + 11. Let z be (-1)\/(v - 9\/6). Let y(g) = -g + g + 2*g**z + 0*g**2. Let k(o) = 3*o. What is y(k(w))?\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 405 + -410. Let t be 1\/(-2)*(-7 + 3). Let b(h) = -6*h**2 - 5*h - 5. Let p(f) = -3*f**2 - 2*f - 2. What is d*p(y) + t*b(y)?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1140123 + 3?\nAnswer: 1140131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**4 + 3908*c**3 - 145596*c**2 + 279452*c - 137768 = 0. Calculate c.\nAnswer: -1013, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times 0.292?\nAnswer: -2.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 5*m - 40, -5*z = 5*m - 0*z. Suppose 2*p + 4 = -2*d, d - p + 4*p = -m. Let r be (d - -1 - 3)*-1. Solve -5*h = f - 8 + 23, r*h = f - 17 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -1037*x**3 + 8*x**2 + 70*x + 24. Is t(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 594\/41 or 114.5?\nAnswer: 594\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 2 - 3. Suppose -2*q = -5*q + 42. Let j be s*3\/(q + -2). Which is the nearest to 0.2? (a) j (b) 0 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -446.6 + 446. Which is smaller: 197 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51*m**5 + 6*m wrt m.\nAnswer: 1020*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 10*y**2 + 6*y - 24. Let i be v(-9). Let k be (-3)\/(-6)*(-3 + 15 + -2). Solve k = i*z + 14 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/1121 and -33\/143783.\nAnswer: 2731877","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 241*f**2*m**2*o**2 + 11*f**2*m*o - 2*f**2 - f*m**2 - 2*f*o**2 + m**2*o**2 - 36*o**2 wrt m?\nAnswer: 482*f**2*o**2 - 2*f + 2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183414 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1)*(-8)\/(-92))\/(-1)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32860 - -32860.101135. Round j to 3 dps.\nAnswer: 0.101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*z + 41, -2*z = q - 6*q - 9. Suppose -21*d + 52 = -z*d. Suppose -138 = -d*f + 10*f. List the prime factors of f.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 109848 + 18818 = -5*h, 2*h = -4*o + 91012. What is the ten thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(-5*sqrt(180)) - (-1 + sqrt(13))*-6*3.\nAnswer: -18 + 539*sqrt(13)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-648)\/32 + 1\/4. Let n = -18 - g. Solve 0 = k - r + 5, 3*r = 2*k + n*k + 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 28 + 0*n**2 - 1\/24*n**4 - 1\/6*n**3 + 5*n. Let g(h) be the first derivative of s(h). Factor g(m).\nAnswer: -m*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160 - 663 + 155 - 188*m + 153 + 157 + 38 + 186*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/3)*y)**(4\/17))**(-6\/23) assuming y is positive.\nAnswer: y**(-32\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-28)\/70 - ((-1288953)\/15)\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9114*z - 266 - 394 = 9059*z. Suppose -3*b + 6 = 3*l, -b + 8 = -5*l + 3*l. Solve -4 = -b*c + z for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5\/8 + 612*c**4 - 2449*c**3\/2.\nAnswer: c**3*(c - 2)*(c + 4898)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0383 times 2?\nAnswer: 0.0766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) 0.5 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4579222um to nanometers.\nAnswer: 457.9222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 7*n - 4*n - 2*n. Let a(c) = -19*c**2. Determine j(a(h)).\nAnswer: -19*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5 - s - 3*s - 5 + 5*s. Let i be j(10). Suppose c - 14 = -i*c. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7368 - 0?\nAnswer: -7368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 1 = 3*f, f = 4*f - 2*c + 5. Let d = f - -3. Is 6 a factor of (4 - (-3 + 1)) + d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1421, -3279, -5135, -6989, -8841, -10691?\nAnswer: -12539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/19, 2\/5, -0.3, -2\/5, -2, 2369, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 134645633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**9)\/u)\/(u*(u**(3\/8)*u)\/u))**(-40)\/((u*u**(-2\/17))\/(u\/u**6)*(u**(-2\/9)\/u)**(-3)) assuming u is positive.\nAnswer: u**(-16042\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(304) + sqrt(304)*-2)**2.\nAnswer: -608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00115164246 to seven decimal places.\nAnswer: -0.0011516","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.2 + 1769776.\nAnswer: 1769777.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -26688.6 to the nearest one thousand.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -1553*j**2 + 14212*j + 10. Calculate u(9).\nAnswer: 2125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/4 - (4 - 49564\/16). Suppose -6*b + 404 = -f. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16 - (3 + -2 + -1). Suppose -2*c + 6*c - 3*h = 16, -4*c - 5*h + w = 0. Let k be (109\/436)\/(1\/(-16)). Put 2, c, k in decreasing order.\nAnswer: c, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -9*j + 2 + 11*j - 2. Let n(s) = -17*s. What is a(n(c))?\nAnswer: -34*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 1080 = -5*f, 0*i - 864 = 4*f - i. Let w be ((-2)\/1 - 40)*f\/16. Let h = -334 + w. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 107 + -75. Calculate the remainder when i is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*j - 20*j - 9*j - 1540 = 31*j for j.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01168 to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8785085, 8785084, 8785083, 8785082, 8785081, 8785080?\nAnswer: 8785079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (18 - -2 - (-126 + 142)) + -86 + -3\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (9 + (6 - (9 + -2)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**7\/2520 - n**5\/60 + n**4\/6 + n**2. Let i(b) be the second derivative of g(b). Differentiate i(c) wrt c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 153385852 and -0.4.\nAnswer: 153385851.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 249 and 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-27)\/(-3 + 0) + -1. Suppose -11*y = -f*y - 6. Solve -3*c - 2 = -y*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*z - 8*z. Let b(u) = -3 + 3*u + z*u**2 - 2*u**2 + 9 + 4*u. Calculate b(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 7*l**2 - 15. Let g be w(6). Let d = -33 + 54. Calculate the greatest common factor of g and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(170)*3 - sqrt(170))\/sqrt(5)*3)\/(sqrt(288) + (sqrt(288) + sqrt(288)*1 + sqrt(288) + sqrt(288) + sqrt(288) - sqrt(288))))*-1.\nAnswer: -sqrt(17)\/10 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26708871*a**3 + 2186017*a**2 - 2.\nAnswer: -160253226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10871993 and 4948.\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1472*f + 85035 + 84984 + 178*f**3 - 169759 - 9*f**4 + 1399*f**2 = 0. What is f?\nAnswer: -5, -1, -2\/9, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -22. Solve r*p + 4 = -2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b + 129b57?\nAnswer: 129b74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t - 1. Let u be h(-4). Let j = 7 - 1. Which is smaller: u or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -813 = -2*u + m, -u - 5*m + 68 = -311. Suppose 0 = 2*j - u + 192. List the prime factors of j.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -55\/6, 2.1, 12, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 1 - (0\/(-2) - 0). Which is the biggest value? (a) -23 (b) 2 (c) y (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3200, 6378, 9534, 12680, 15828, 18990, 22178, 25404?\nAnswer: 28680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 2*z - 12 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*q + 283*q + 1 - 1 + 55*q in the form o + b*q and give b.\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1353551 to the power of 1\/2, to the nearest integer?\nAnswer: 1163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(((q*q*q*q\/q**17*q)\/q)\/q)*q)\/((q*(q*q**(-9)*q*q)\/q)\/q)*(q*q**(-9\/7))\/q**(-1\/6) assuming q is positive.\nAnswer: q**(1003\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*a*f*i**2*q + 8*a*f*i*q - 8*a*f*i + 4*a*i + 2*f*i**2*q + i**2*q wrt i.\nAnswer: -20*a*f*q + 4*f*q + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-g - 3*g + 3*g)*(4 - 2 - 3) + (4 - 3 - 3)*(-g + 0*g - g))*(-39*g + 29*g + 38*g).\nAnswer: 140*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -69221*a*f**2*s**2 - 5*f**2 - 24955*f*s**2 with respect to a.\nAnswer: -69221*f**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -510 + 511. Sort -247, -2, h in descending order.\nAnswer: h, -2, -247","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2212 + 2212 + 19*k**3 - 20*k**3 + 32*k**3.\nAnswer: 31*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**4 + 2*s**2 - 3*s**2 - 2*s**4 + s**4 + 5*s**3 to the form o*s**3 + d*s**2 + p + g*s**4 + x*s and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2060*m = -2054*m - 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -661869870 to the nearest one million.\nAnswer: -662000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 10 = -5*p, -3*g - 18 + 3 = -p for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q**3 + 4*q**2 - 6*q + 9. Let p be s(8). Suppose -p = -k + y + 3014, 3*k = -5*y + 18885. Round k to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20559900 to the power of 1\/3, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 237001?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1823303 rounded to two decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -5*b - 52, -3*b + 253*g - 30 = 255*g for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 - 27*a**2 + 7*a**2 + 3*a**2 + 13*a**2 + 6*a**2.\nAnswer: 2*a**2 - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 381 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -3. Let y = 1.54 + 0.06. Let c = y + w. Sort c, -5, -4\/7.\nAnswer: -5, -4\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.151 minus 3708852162866?\nAnswer: -3708852162865.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -251826740528+-0.2\nAnswer: -251826740528.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*l**3 - 799*l**3 - 21*l**3 - 281*l + 645*l - 364*l.\nAnswer: -843*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by -6766\nAnswer: -1\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i**2*i)\/i*i*i))\/(i**2*i) assuming i is positive.\nAnswer: i**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2858336?\nAnswer: 2, 13, 6871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113, 79, 21, -61, -167?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*1*sqrt(540))\/(sqrt(108) - (sqrt(108) + sqrt(27))\/sqrt(9)) + 3)**2.\nAnswer: -72*sqrt(5) + 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/((152\/(-2204))\/((-120)\/435))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3917624.\nAnswer: 2, 67, 7309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.88 - -6. Let h = -0.38 - u. Let n = -95\/3 - -32. Does n = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7909677 divided by -1081?\nAnswer: 7317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -t**4\/4 - 4*t**3\/3 - t**2 - 5*t + 14. Calculate c(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*z - 10. Let i = 0.22631 + -0.02631. What is the smallest value in z, i, -192?\nAnswer: -192","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 21*n**2 - 1. Let l be x(1). Suppose -l = 2*h - 3*h. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -559, -2248, -5063, -9004?\nAnswer: -14071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7173433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 775430 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 39200083?\nAnswer: 39200079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1227 + 1133.7. Let o = 93 + i. Let l = 6.11 + -6. Which is the third smallest value? (a) 3\/7 (b) l (c) 4 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 101*t + 35 = -0*a + 105*t, 41 = -a + 4*t for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2 + (-109)\/24 + 2\/8 and -47\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -24594.47, -0.3, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123 - 37*s**2 - 135 - 64*s**2 - 66*s**2 + 226*s**2 - 63*s**2.\nAnswer: -4*s**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14308174?\nAnswer: 2, 31, 89, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l - 27. Let k be g(15). Solve 0 = -k*w - 0*w - 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -11002201?\nAnswer: 11002121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 5, 5476\/9, -0.4?\nAnswer: 5476\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*q - 164. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-5)\/(-30))\/((-2)\/132*-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6081290118 to the nearest integer?\nAnswer: 77983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 13. List the prime factors of 26\/j - 1\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -497 - -497.3. Let u = 0 - 0. What is the nearest to u in p, 0, 1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429252377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d - 12. Let r be w(-6). Suppose -l - 4*m - r = 0, -6 = 3*l - 2*m - 2. Let v(a) = -a - 4. Let p(c) = 1. Calculate l*v(b) - 9*p(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -204566*p**2 + 993398*p?\nAnswer: -409132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-16) + 17\/8. Is (3 - k)\/(-2 + 562\/280) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 1:11 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**2 + 24906515*n = 0. What is n?\nAnswer: 0, 4981303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16078940?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1214076 divided by 202346?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 0 + 3)*(2*s - 2*s + 2*s) + (1 - 1 - 1)*(-15*s - 62*s + 8*s) as k + p*s and give p.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 78, 109, 150, 201, 262, 333?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 - -20)\/(1528\/55800). Let o = z + -986. Is 0 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, p: 1, r: 1, k: 2, y: 2}. What is prob of sequence pnyy?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8716680 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 7*y**2\/2 + 13*y + 44. Let p(i) = i + 2. Give 6*m(g) - 39*p(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 4*g - g**2 - 11*g)*(0 + 0 + 2).\nAnswer: -2*g**2 - 10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 15, -198, 12, 2, -1 in ascending order.\nAnswer: -198, -5, -1, 2, 12, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/5 (b) 0.2 (c) -3\/4 (d) 9 (e) 2 (f) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 217, 3, -4, -56, 2, 5 in increasing order.\nAnswer: -56, -4, 2, 3, 5, 13, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*p - 13*p - 42 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 750711 and 156?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 10 = -4*r + 119, 5*r + 24 = s. Let t be 8\/(-6)*12\/8. Let n = t + s. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9647085 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*b = 34*b + 253760. What are the prime factors of b?\nAnswer: 2, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -6, 11\/5, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 + 19 + -7 + -2 + 6 - -8?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1184 divided by -5.\nAnswer: 1184\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**3 - 3*i**2 - 3*i - 3. Let a(r) = 3*r**2 - 1 - r + 0*r - 4*r**2 + r**3. Let w(t) = t**3 + 6. Let j be w(0). Calculate j*a(o) - 2*q(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00095940643 to 6 dps.\nAnswer: 0.000959","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -476*k + 816 = -428*k. Let g(d) = 7*d + 11. Let b(p) = 20*p + 32. What is k*g(f) - 6*b(f)?\nAnswer: -f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(17) - sqrt(17))**2*-1 + -2)*5 + -2.\nAnswer: -777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-3 + 10 + -3 - (-4 + 7))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*f = 21, -6*f = -2*f - 12. Let w(t) = -11*t**3 + 3*t**2 + 3*t. Let o be w(-1). Let n be 0 + -2 + 7 + (o - 10). Solve -l + c*l = n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 39\/12 + 2\/(-8). Suppose 0 = 4*a + 3*s + 4, -l*a - 2 - 1 = -4*s. Let v(n) = -n**2 - 2*n - 1. Calculate v(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in 758, 2, -1\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2. Suppose a - 5 - 3 = 0. Let p(b) = -25*b + 5. Let x(h) = -38*h + 8. Let s(c) = a*p(c) - 5*x(c). What is s(r(u))?\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4791046 + -4791334.00524. Let d = x - -288. Round d to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**4\/3 - 1564*h**3\/3 + 21656*h**2 - 943360*h\/3 + 4605952\/3 = 0. Calculate h.\nAnswer: 13, 16, 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -20, -5*i + 2*i - 5*k + 26 = 0. Which is the second biggest value? (a) 0 (b) 1 (c) i (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) + -3*sqrt(4032))\/sqrt(9))**2 + (-3*(sqrt(7)*-1 - sqrt(7)))**2 + (sqrt(7) - (-3 + 0 + sqrt(7))).\nAnswer: 3958","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**3 - 11*g**2 + 33 with respect to g.\nAnswer: 3*g**2 - 22*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 210021758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 6*y + 3. Let s be h(5). Suppose s = 3*q - 9. Let d = q + 14. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -18*l**3 - 2*l**2 + l + 4. Is q(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13289.90772 rounded to the nearest one hundred?\nAnswer: -13300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.06, 4\/3, 5, 0.4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 5*m**2 + 4*m. Let s be a(4). Let l(f) = 0*f + s*f - f - f. Let r(k) = k**2. What is r(l(i))?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 48 = -3*v + 22 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84971456?\nAnswer: 2, 1327679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(6\/15370*(-6 + (-112)\/(-21))).\nAnswer: 5, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 46 + 34 + 26)*(4*z - 15*z + 9*z).\nAnswer: -258*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*x = 3*u + 8, -5*u = -2*x - 24. Suppose -w + 5*w - 76 = 0. What is the remainder when w is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -132795*s**2 + 116238*s.\nAnswer: -265590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6*-592.404\nAnswer: -3554.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 11 + 47)*(4 + 0 - 1)*(32*t - 28*t - 21*t).\nAnswer: -561*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*t - 9*t**3 - 92*t**2 + 49*t**2 + 43*t**2.\nAnswer: -9*t**3 + 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 9:32 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 28c21?\nAnswer: -28c23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/7280*-26*32*(-190)\/(-4)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 + -30.9999868. What is q rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) 383 (c) -1\/5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5 + -3*(sqrt(112) + 0 + sqrt(112))*5 + 3 + 0 + sqrt(112) + -4 + -5))**2.\nAnswer: 10208*sqrt(7) + 377252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128979 and 8992?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26304988, -26304988, -26304982, -26304964, -26304928, -26304868, -26304778?\nAnswer: -26304652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -2*t**2 - 9*t + t**2 - 70 - 5*t + 109. What is m(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2857*v + v**2 - 2857*v. Let y(x) = -48*x. Give o(y(t)).\nAnswer: 2304*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 2022?\nAnswer: -2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1624080 and 406020?\nAnswer: 1624080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**4 + 2 - 2 + (5*d**2 - 4*d**2 - 3*d**2)*(2*d**2 + 0*d**2 + 0*d**2))*(2*d + 6*d - 7*d).\nAnswer: -3*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.47924l to millilitres.\nAnswer: 51479.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32066342566 - -4?\nAnswer: 32066342603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 25*u**2 + 12*u - 257. Calculate z(25).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 9*u**7\/28 - 69*u**6\/20 + 129*u**5\/40 - 7*u**4\/8 + 207*u - 282. Let v(t) be the first derivative of z(t). Factor v(x).\nAnswer: 3*x**2*(x - 7)*(3*x - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2828936816 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i - 11 = 21 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 32482.6 tonnes?\nAnswer: 32482600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f - 6*f + 4*f)*(-1 + 1 + 2)*(0 + 2 + 3)*(0*f + 3*f - f) in the form c*f + o*f**2 + h and give o.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4866*p - 8016. Determine c(-2).\nAnswer: 1716","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 211 - 207.58. Let g = -0.58 - z. What is the fourth biggest value in g, -3, -2\/3, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 33 = -5*h, 32 = 5*h - 3*x - 0. Solve 0*a = -h*a + 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/11)*(m*m\/(m\/((m**(4\/9)*m)\/m))*m*m*m)\/m assuming m is positive.\nAnswer: m**(359\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22085815 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -240, 2\/7, 1.92?\nAnswer: -240","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -782 (base 9) to base 4.\nAnswer: -22001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 5, p: 2, c: 3}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8577 and 0.2.\nAnswer: -0.17154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.99407 kilograms to grams.\nAnswer: 68994.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2875 is divided by 144?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -309 > -343826\/1109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21161\/12702 + 3\/4234. Let l(n) be the second derivative of -10\/3*n**3 - 1\/4*n**5 - 6*n + 0 - k*n**4 + 0*n**2. Factor l(s).\nAnswer: -5*s*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45611359 + -2.6?\nAnswer: 45611356.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -105*d**3 - 9*d**2 - 18*d - 173. Let b(g) = 44*g**3 + 4*g**2 + 8*g + 87. Determine 9*b(q) + 4*m(q).\nAnswer: -24*q**3 + 91","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -10*q**3 + 2*q**2 - q. Let s(n) = -n**3 + n. What is 3*s(v) + y(v)?\nAnswer: -13*v**3 + 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28713334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117975608.\nAnswer: 2, 1327, 11113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 6) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56350 = -285*c - 79720 for c.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -15. Let x(h) = -2*h + 2 + 7*h + 1 - 1. Suppose 2*a - 39 = 5*a. Let s(p) = -11*p - 4. Give a*x(k) + t*s(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -93*x**2 - 3 + 1 + 110*x**2 in the form b*x + v*x**2 + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70 + 3*d + 70)*(5*d**2 + 12 - 12).\nAnswer: 15*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7064*l + 1166*l - 465*l + 1529*l.\nAnswer: 9294*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 21, 240?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.21 - 0.59. Let h = o - -14.8. Which is the second smallest value? (a) h (b) -14 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*29\/(1827\/84)*15\/(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 159923.8 and -64418.\nAnswer: 95505.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 10*h + 4. Let q be k(9). Let a be (-63)\/14*4\/3. Let d = a + q. What is the remainder when 25 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 70260?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -56. Suppose c - 5 = 5*w. Suppose s - 3*b + 1 = w, -4*s + 18 = -5*b. Solve s*d = 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14.81 + 0.19. Let a = i - 11. Let n = 4.00013 - a. Round n to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6001, -6024, -6043, -6052, -6045, -6016, -5959, -5868?\n\"Answer: l**3 - 4*l**2 - 18*l - 5980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (o**4 - 3*o**4 + 4*o**4)*(-5 - 2 - 3 + (5 - 2 - 4)*(3 - 1 + 0)) as x*o**4 + t*o**2 + d*o**3 + c + u*o and give x.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 296298 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r + 9*r - 4*r + (-2 - 1 + 2)*(3*r - 5*r + 4*r))*(-4 - 4 - 3*r + 6) to the form b + i*r**2 + o*r and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-39)\/130*(-10)\/12. Which is the smallest value? (a) u (b) -16 (c) 4 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -344*a**2 - 341*a**2 - 11*a - 18*a + 684*a**2 + 96. Let h be g(-32). Solve h = -5*p - c - 17, 5*c = 17 - 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -107*h - 155 + 1118 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -23. List the prime factors of (-57)\/m - (-1)\/((-12)\/(-8)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -6\/23, -6649, -1\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 27*n**3 - 2*n**2 + n. Is 13 a factor of h(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**3 + 12*p**2 - 2*p - 2. Let j be z(-6). Suppose -12*b + 11*b = 3*u - j, -2*u + 15 = -b. Put 0.3, 1, -3, u in descending order.\nAnswer: u, 1, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.5, 0.3, -32, 2\/17?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -2*n**7\/7 - 909*n**5\/5 + 2*n**3\/3 + 286*n**2 + 372. What is the third derivative of l(m) wrt m?\nAnswer: -240*m**3 - 21816*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 4*c + 7 = 0, -2*c = 3*g - 7*c - 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**5 - 4*b**5 - 3*b**5)*(6 + 7 - 3) - 3*b**5 + 3*b**5 - 3*b**5.\nAnswer: -43*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 11*w**2 - 7*w. Does 75 divide y(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -15. Let m = 2.00000099 - u. Round m to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*a + 33*a - 11*a)*(0 + 0 + 2*a) + (a - 4*a + a)*(a - 3*a + 3*a).\nAnswer: 100*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 31*o - 11. Suppose -3*h + 4*b + 14 = 0, -5*h + 18 = 10*b - 14*b. Is 9 a factor of f(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -39888, -39840, -39792?\n\"Answer: 48*y - 39936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/17 (b) 1\/8 (c) 0 (d) 2 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*v + 59*v = -357. Let p = 18 - v. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115 - 359 + 111 + 129 + 7*f.\nAnswer: 7*f - 4","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/53 (b) -3 (c) 19 (d) 0.033\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-27) + -34*(-5)\/(-210)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**4 - 5*y**2 - 2*y**3 + 1 + 4*y**2 - 2 + y in the form f + s*y + c*y**3 + t*y**2 + w*y**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of h**3\/3 + h. Let a(y) = 5*y - 4. Let p(f) = -20*f + 15. Let k(d) = -15*a(d) - 4*p(d). Determine k(m(v)).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/5, 4\/7, -36, -2\/3 in increasing order.\nAnswer: -36, -4, -2\/3, 2\/5, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -119, -314, -843, -1874, -3575?\n\"Answer: -28*j**3 + j**2 - 2*j - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 376.0426 seconds to nanoseconds.\nAnswer: 376042600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -36581 divided by -4473\nAnswer: 36581\/4473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 11 - g - 2*g - 4*g + 6*g. Let w be k(11). Suppose 7*p - 4*p - 240 = w. Calculate the greatest common factor of 20 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4*(sqrt(363) + -1) + sqrt(363) - (2 + (1*sqrt(363) - sqrt(363))*-2))**2*-1.\nAnswer: -9084 + 330*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 7 + 12*d**3 - 4.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-4) + (-241)\/(-2). Let d = t + -55. Suppose 5*v - d = 136. What is v rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - (-8)\/6)\/(-2). Let s = 4719 - 4718.6. Which is the nearest to 2? (a) l (b) s (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 274, 3487, 12146, 28939, 56554?\nAnswer: 97679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19.1 - 19. Sort -1\/7, -4, 5, y.\nAnswer: -4, -1\/7, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rywd when four letters picked without replacement from {w: 1, b: 1, d: 1, y: 1, u: 2, r: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.4753 and 0.38?\nAnswer: -1.320614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 14*t - 8*t. Solve m - t*m = 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -60592 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*t - 2016*t - 1296*t - 7124 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and 0.0965786.\nAnswer: -0.3034214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**3*r**2 - 149*b**3*r*u**2 + 6*b*r**3*u - 191*b*r**2*u**3 - 228*r*u**3 wrt r.\nAnswer: 6*b**3 + 36*b*r*u - 382*b*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31019.88l?\nAnswer: 31019880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29? (a) 3\/8 (b) 5.12 (c) 4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*t - 790. Suppose 2*m + 2*m - t = -5*s, 2*s = -3*m + 122. Calculate the greatest common divisor of m and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -365*f**2. Let o(n) = -20*n**2. What is r(o(w))?\nAnswer: -146000*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3be20 + -8?\nAnswer: -3be28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6181023418?\nAnswer: 2, 19, 107, 1520173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 8*c - 4. Let d be -1*3\/21 - (-106)\/7. Suppose -d*i - 60 = 15. What is u(i)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + u. Let m(w) = 2*w**2 + 5*w. Let h(d) = 3*a(d) - m(d). Let j = -1109 + 1107. Calculate h(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(-1637*l - 10677 + 10677)*(2*l**4 + 4 - 4)*(-2 + 0 - 1).\nAnswer: -19644*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -23. Let d be 10\/(-30) + m\/3. What is the common denominator of (d\/24*-137)\/((-8)\/16) and -19\/33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**3 + 6*h**2 - 10*h - 12. Let g be q(-4). Put 0, g, -3, 2 in ascending order.\nAnswer: g, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 3:30 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u**2 + 12*u + 2 + 15*u - 32*u)*(-3*u + 2*u - 2*u) as l*u**3 + t*u + h + m*u**2 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 93 - 96 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 6\/779 (b) 3 (c) 64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -0.38616?\nAnswer: -0.19308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 3:22 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*n + 155 = 2*k, 0 = -3*k + n + 185. Let g be 4\/(16\/k) - -1. Let q(c) = -6 + 2*c - 6 + g + 2*c - c**2. What is q(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6*d = 4*w + 4, 4*d - 20 = 2*w. Let n be -6 - -4 - 48\/w. Let p = n + -3. Let h(a) = a**2 - 7*a + 1. What is h(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -3, -894, -1, 5, -287 in ascending order.\nAnswer: -894, -287, -3, -2, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.27 and -778401.\nAnswer: 210168.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 0 - (0 + 1) - 6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*y - 34*b + 35*b, 5*b + 17 = -y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 1104*u - 19413. Determine s(15).\nAnswer: -2853","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 14*(-1)\/(-2). Let m(o) = 185*o**2 - 2 - 4 + 8*o - 4 + 1. Let w be m(g). Round w to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 367 (base 8) to base 16\nAnswer: f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -264 - -974. Let f = 709.99999966 - s. Round f to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*s + 540 = -22*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 - (-59 + (39 - -96)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v = -4*v + 3666. Let q = -77 - v. Does 48 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 9:56 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-106810)\/(-3884))\/(11\/(-8)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*g - 24*g**2 + 5*g + g**3 - 8*g to the form a*g + j*g**2 + p + t*g**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/6)\/(j\/(j\/(j*j*j*j\/(j**2\/j)*j*j*j)*j)))**(18\/13)\/(j**(2\/9)\/j*j**6*j*j**(1\/3)\/j**2) assuming j is positive.\nAnswer: j**(-1316\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7 - 5) + 1230\/7. Let n = -178 + x. Find the common denominator of n and 29\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n - 4*n + 13*n**2 + n**3 - 17 + 9*n. What is the tens digit of l(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123453769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 5*f + 8. Let b be o(-6). Let k(l) = 879*l - 882*l + 69*l**3 - 5 + 6. Is k(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 610*n - 16 + 0*n**2 - 356*n - 245*n - 3*n**2 to u + r*n + s*n**2 and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 + 64938*p + 94903740.\nAnswer: -2*(p - 33870)*(p + 1401)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 8:22 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 5*r + 1371. Let x = 62 + r. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*s - 15*s - 36 = -36*s for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**2 + 710*o**3 - 7839*o**3 + 5*o**2 + 851*o**3.\nAnswer: -6278*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 1 = p - 6, 2*x - 55 = -3*p. Suppose -j + 23 = -p. Calculate the remainder when j is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (3 - -6) - (77 - 91).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2513256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/16 of a day?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 3*a - 115, 4893217*b - 4893220*b = 46*a + 308 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21226140 and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j + 7. Suppose 3*r - 12 = -24. Let v(p) = 2. Give r*s(o) + 14*v(o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216*q + 111*q - 17*q + 219*q + 328*q.\nAnswer: 857*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 111953600 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39984 is divided by 339.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 112350?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 10*b - 22. Let a be y(-6). Suppose -2*m + a*f + 5088 = 2*m, -4*m + 5*f = -5094. Let k = -406 + m. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 28. Let n = 0 - -2. Suppose 3*v = n*v. Solve 2*g - 8 = v, a = s + s + 2*g - 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1742 * -9.282\nAnswer: 16169.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*q - 7 - 20*q - 46*q - 24*q.\nAnswer: -q - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60 + -37. Find the third derivative of 0*b**3 + s*b - 4*b**3 - 3*b**2 - 23*b wrt b.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(52)\/sqrt(4) + 2) - (4 + sqrt(637)*-2).\nAnswer: -14 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1573, -1578, -1583, -1588?\n\"Answer: -5*j - 1568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4897 = 4898?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = i - 24. Let r(x) be the first derivative of 64\/3*x**3 + 77\/2*x**4 + i*x**2 + 98\/5*x**5 + 0*x - 4. Find w, given that r(w) = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*t - 0*v + 10, 2*v + 10 = -4*t. Suppose 3*l = -t - 3, 0 = -5*p - 5*l + 15. What is the second derivative of -9*i**4 - 2*i + i + 16*i**p wrt i?\nAnswer: 84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**3 + 220*m**2 + 1500*m = 0.\nAnswer: -6, 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) -0.083 (c) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 - -40. Suppose 4*q + 5182 = 838. Let t be q\/(-15) + 2\/(-5). What is the highest common factor of t and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.03, -6\/7 in descending order.\nAnswer: 0.4, -0.03, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 4*k + 3. Let v be y(-3). Let h = -600 + 604. Solve -h*t = -v*t + 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4750 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (2 + -3) - (-20 + 4)) + 11 + 10\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 97440825 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a**2*r - 53*a*r + 2*r + 58 wrt a?\nAnswer: -4*a*r - 53*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.4 + 1.4. Let o = -12 - p. Which is the second smallest value? (a) 1 (b) 0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 2978 = -520. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/2))**(1\/46)\/(u**(-1)*u**(-5)))\/(u**(4\/9)\/u**(-11\/5))**(-42) assuming u is positive.\nAnswer: u**(161567\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -524\/823 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/2306413 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 - 3\/2*w + 3\/2*w**5 + 3*w**4 + 0 + 0*w**3.\nAnswer: 3*w*(w - 1)*(w + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.96063 - 0.03937. Which is the nearest to -2\/25? (a) 3\/4 (b) 2 (c) -1\/2 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z + 37. Suppose 4*g - 3*a - 133 = -0*g, 3*a - 37 = -g. What is the remainder when g is divided by l(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 0*m**3 + 5\/2*m**4 + 0*m**2 + 7*m + 6. What is the first derivative of q(i) wrt i?\nAnswer: 30*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 65*i**2 - 71*i + 185. What are the prime factors of o(-65)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of f**6\/15 + f**5\/30 + f**4\/24 + 5*f**2. Let k(n) = -n**2 - 4*n + 4. Let d be k(-5). Calculate h(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2. Let x(p) be the first derivative of 57*p**2\/2 + 260. Calculate c(x(m)).\nAnswer: -6498*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -374*m*o**3*x**2 - 7761*m*o**2*x**2 - 19*m*x**2 + 7*o**3*x**2 + 7*o**3*x wrt o?\nAnswer: -2244*m*x**2 + 42*x**2 + 42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54 + -33. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 0*z**2 - 8\/15*z**3 - 26\/25*z**5 + 0*z - 1\/5*z**6 - 23 - 8\/5*z**4. Factor k(b).\nAnswer: -2*b**2*(b + 2)**2*(3*b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 10*g + 2. Let q be p(-10). Calculate the highest common factor of q and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-30) - ((-464)\/(-6))\/(-2). What is the greatest common factor of b and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-5) + (-861)\/35. Let x be l*1*(2 + -3). What is the tens digit of (-4)\/10 + 310\/x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3212734 is divided by 928?\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5531 + 8936. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -4 + (-6 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4875 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300*l**5 - 1940*l**4 + 3396*l**3 - 412*l**2 - 1200*l - 144 = 0. Calculate l.\nAnswer: -2\/5, -2\/15, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70047016 to the nearest integer?\nAnswer: 8369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - -5. What is the lowest common multiple of 16 and w?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 q when four letters picked without replacement from qzqrzqzqrrrr?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p = 22*p - 3780. Is 45 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in ten sevenths of a week?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0*u - 2*b = 170, 5*b - 163 = -4*u. Suppose 12 = 18*m - u. What is the highest common divisor of m and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((60\/(-8))\/3)*463\/(-24539)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -14. Find the first derivative of 2 + 1 + y**3 + r*y**3 - 2*y**3 wrt y.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/10679936 and -2\/29?\nAnswer: 309718144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 23\/2, -1, 4.\nAnswer: -1, 4, 5, 23\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 2. Let c be 2 - -2 - (t + 0). What is the remainder when c*(9\/6 + 2) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-39 - -25) + 7 - (-1 + -6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 819 = b, -2*b = 2*b - 5*m - 3289. What is the hundreds digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 236 by -2.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*o - 95*o = 292*o - 4450 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) -17917 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -22. Let i be (1*j)\/((-14)\/35). Let a(t) = -t**2 - 12*t - 7. List the prime factors of a(i).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f = 9*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1792*n - 902*n - 890*n + 0*n**3 - 2*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 498.\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/6*27\/(-5)*(-60)\/1818. Which is smaller: u or 1\/23?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 + 28. Let s = -9.3 - x. Let o = 1.7000014 - s. What is o rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 - 5727*m**2 - 2429877*m - 297620793.\nAnswer: -3*(m + 269)**2*(m + 1371)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 - 4*j + 4. Let o be a(7). Suppose 11*r - 4*r = 91. Suppose r*l = 17*l - 4*w - 280, 5*l + w = 368. Which is bigger: l or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 17*j + 18. Determine r(-18).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 5*m - 26 = -3*h, -4*m - 3 = -h. What is the second derivative of x**4 + 90*x**3 - h*x**2 - 90*x**3 - 12*x - 3*x**4 wrt x?\nAnswer: -24*x**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 251 = -2*x + 344, 4*d - 1184 = -4*x. Let m = 683 - x. Suppose -m = -11*h + 3*h. Calculate the greatest common factor of h and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 560 = -2*y + 2*t, -y - y - 560 = 3*t. Let q = y - -158. Let g = q + 244. List the prime factors of g.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 3.2. Let v = -0.2 + n. Which is the biggest value? (a) 0.1 (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5 + 4 = 0, -4*g - 2*k = -10. Let q be ((-24)\/5)\/((-22)\/55). Suppose q = 3*x + x. Solve -2*t - 7 = -4*h - g, -t - x = 2*h for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.63 + 0.23. What is the nearest to 0.1 in k, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/3 - 96455*o**2\/3 + 4338356*o\/3 + 9062540\/3.\nAnswer: (o - 96410)*(o - 47)*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3.8+-104556343925\nAnswer: -104556343928.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24966798.715866 - 24988746.679. Let w = 21948 + p. Let l = w + -0.037. What is l rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14330 and 5732.\nAnswer: 28660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2993213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -768*w**4 + 3*w + 84 wrt w.\nAnswer: -9216*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a day in minutes?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggvigvdg. Give prob of picking 4 g.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3.46 (b) 3\/2 (c) 4 (d) -0.4 (e) -3\/5 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 19.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9871 is divided by 2464.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvit. What is prob of sequence ti?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67105 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3024 and 24597?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -10102.2?\nAnswer: -30306.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 52 + 17)*(u**2 + 3 - 3) as z + o*u + c*u**2 and give c.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 + -16 - (1 + 4)) + -52 + (5 - 0).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 728*o - 728*o + 118 + 102*o**3 wrt o?\nAnswer: 306*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 9:37 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8985632 divided by 2246408?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2713699277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.926 + -0.416. Let m = -3.41 + u. Let i = 1 - 9. What is the second biggest value in m, -0.5, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 1 - 6 = 0. Let y(f) = -6*f. Let h be (1\/3)\/(2\/30). Let q(x) = 6*x. Let r(m) = h*y(m) + 4*q(m). Determine r(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63\/(-81))\/((-98)\/84).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/3))**(8\/15))**(-7\/3)*(n\/(n**(-1)\/n))**19*(n*n*((n\/(n*n*n**(2\/3)))\/n*n)\/n)**(12\/5) assuming n is positive.\nAnswer: n**(7423\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-9)*n)**(-41))**(1\/97) assuming n is positive.\nAnswer: n**(287\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20941.\nAnswer: 43, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 8092?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + 5*a - 12 = f + 3*a, 2*f + 2*a + 36 = 0 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/12)*r*r*r**(1\/4))\/(r**(-5)\/r*r*r\/r**(1\/12)))\/(r**(1\/2)*r\/r**(2\/7)*r*r**(-5)\/((((r\/(r\/r**(-6)))\/r)\/r*r)\/r)) assuming r is positive.\nAnswer: r**(29\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -7*i - 5. Suppose 5*x = 2*d + 30, -4*x - i*d = -4*d - 24. What is the greatest common divisor of x and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -0*x - 21. Let y be (9 - x)\/((-2)\/12). What is the units digit of (-1 + -3)\/(8\/y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2923659.\nAnswer: 3, 563, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*p**2 + 3*p - 137 wrt p.\nAnswer: -28*p + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6.73 and 28.\nAnswer: 21.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 31945 divided by -6389?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3889*f*k + 11636892*f - 639*k wrt k.\nAnswer: -3889*f - 639","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 193971130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xy when two letters picked without replacement from xotyoooooxgoxxg.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10968 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/164 at most as big as -99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -29 (b) 3\/7 (c) -4 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242) + ((-1 + sqrt(242) - sqrt(242))*5)**2.\nAnswer: 11*sqrt(2) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j**3 + 8 - j + 0*j + 4*j**3 - j**2. Let i be g(0). Suppose i = -3*u + 29. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*t**2 + 576 - 23*t**2 - 576 + 49*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*n = 86*n + 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-18) - (1785\/(-135) - -13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 125 (base 12) to base 7\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuxxuuxxxuuxuxxxuuxx. Give prob of sequence xuu.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 228535 - 229757.791. Let d = y + 2.791. Let u = d - -1226.63. What is u rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/(x*x\/x**(-7\/6)))*x**(-9\/2) assuming x is positive.\nAnswer: x**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -4 (b) 0.04 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ge when two letters picked without replacement from exeefgfcexfxexf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.71363 rounded to 1 decimal place?\nAnswer: -6.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 5*g + 90 = 0. What is the hundreds digit of 63*(312\/g - 7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -12282\nAnswer: 2\/6141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (-16)\/(-2) + 1. Suppose 0 = -4*z + 14 - 6. Let x(t) = 4*t**3 + 64*t**2 - t - 14. Let m be x(-16). Solve m = z*b + p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -90*q + 85*q. Solve -q*s + 18 = -5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*-2940.\nAnswer: 1764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: a87cbb (base 14) to base 11\nAnswer: 3248a79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide (-162)\/15*(-80 + -10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o + 20*o - 15*o + 12 + 6*o**2 = 0. What is o?\nAnswer: -3, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 22\/4 + 3\/(-2). Let g(j) = j**3 - 4*j**2. Let u be g(t). Solve 0*h + 4*h + 8 = u for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -5*c + 5067 + 4630, 4*c - 7764 = 4*v. Suppose 3*k + k - c = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m - 2*m + 10*m - 8*m**2 + 0*m. Let f(o) = o**2 - o. Suppose -2*q - 78 = -6. Let n = q - -34. What is n*j(d) - 18*f(d)?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 1)*(-5*r + 4*r + 2*r) + (0 + 3 + 6)*(8*r - 4*r - 2*r) + 8*r - 19*r + 14*r to d + l*r and give l.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -77417 in decreasing order.\nAnswer: 3, 2, -77417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-1\/4)*b*b*b*b**18 assuming b is positive.\nAnswer: b**(87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 64451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113534437.\nAnswer: 113534437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 14*p + 50. Suppose -4*a = p*o + 36, -2*o - 5*a = 18 + 10. Put 2, -5, o in decreasing order.\nAnswer: 2, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/882 and ((-1)\/4)\/(4312\/5368)?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 7458.\nAnswer: 1\/7458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.02 - -0.22. Let m = -15 + 15.36. Let d = 0.06 - m. Put d, l, -1\/8 in descending order.\nAnswer: l, -1\/8, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 4*c - 0*c + 44, -69 = 4*d - 5*c. Let n = 25 + d. Solve -n = -3*y, 4*b - 2*y = -6*y - 8 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -4, 11, -3, 4, -16 in descending order.\nAnswer: 11, 5, 4, -3, -4, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 9227*g + 7095628. Give t(-769).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12125651 (base 9) in base 16?\nAnswer: -5a5d97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 3*b + 100. Suppose 245 = 6*s + s. Let r = s + b. Solve q + 5 - r = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(80) + -3 - -4*sqrt(10)\/sqrt(2)) + (-5 + sqrt(40)\/sqrt(8) - (sqrt(5)*-1 + -5)).\nAnswer: -3 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1148317.\nAnswer: 59, 19463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 452102076 divided by 113025519?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.9 - 0.688. Let u = 0.2017 - f. Round u to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1345 divided by 4471\nAnswer: -1345\/4471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**3 - 3*g**2 + 5*g + 2. Let j be (-21)\/(-28) - 99\/(-12). Let f(x) = -x**2 + 8*x + 13. What is the lowest common multiple of f(j) and z(-3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**3 + 14*g**2 + 48*g - 113. What is w(9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 4 + (1 - -34)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (2*sqrt(34))\/sqrt(2)) + 2 + sqrt(272).\nAnswer: 2 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1698, 1691, 1684?\nAnswer: 1677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/6*1 + (-2)\/4. Which is the second smallest value? (a) t (b) -6\/5 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - -7)\/(2*(-7 + (-17)\/(-2))). What is the biggest value in m, -5, 24, -0.1, -3?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = -13 + 2. Let m = -23 + 20. Let n(x) = x**3 + 3*x**2 - 3*x + 2. Let z be n(m). Calculate the greatest common factor of z and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2224556861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94735 is divided by 6312?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 - j**3 + 3*j**3)*(-4*j + 3*j + 3*j) - 6*j**2 + 6*j**2 + 6*j**4.\nAnswer: 10*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 3*u + 2. Let d be j(-3). Let o(h) = -h + 6 - 3 - 3. Let x(z) = 5*z. Calculate d*x(f) + 9*o(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/1226 and -27\/278.\nAnswer: 170414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 422b3 + -1b?\nAnswer: 42295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 8 = -2*k, 8 = 13*k - 11*k for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -192 (base 14) to base 12\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1692210 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 1)*(0*s + 3*s - 4*s)*(-7*s**3 + 3*s**3 - 12*s**3).\nAnswer: 48*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 63 + 97. What is the remainder when b is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*y - 3. Let f be (-26)\/(-1) - 0*7\/42. Let v be -2 - (6\/30 - f\/5). Solve 0 = v*n + n + y for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(272) - (sqrt(272) + -1)**2) + (-1*(sqrt(272) + -2))**2 + (5*-3*(-3 + sqrt(272)) + 3)**2.\nAnswer: -5764*sqrt(17) + 63510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -2. Let q be 2\/(-8) - (-990)\/(-40). Let n = a - q. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 117 - 157. Sort 5\/2, o, 0.5 in decreasing order.\nAnswer: 5\/2, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (5 - 2) + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78144 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5005, -10196, -15387, -20578, -25769?\n\"Answer: -5191*x + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + -1)*2 - ((sqrt(11) - 1*-2*sqrt(11)) + sqrt(55)\/(sqrt(10)\/sqrt(2))).\nAnswer: -2 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -7*u**2 + 2*u. Let m(p) = -2*p**3 - 54*p**2 + 121*p + 146. Let i be m(-29). Let v(d) = d**2. Calculate i*v(x) - y(x).\nAnswer: 8*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h = 15*h - 35. Let m be h\/(-10)*(-1)\/28. Let p be (151\/(-17) - (-6)\/(-51)) + 4. Sort p, m, 1, 5 in decreasing order.\nAnswer: 5, 1, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3942 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 9:53 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0*y + 0 + 0 - 3*y)*(-65 + 65 + 242*y) in the form n*y**2 + u*y + o and give n.\nAnswer: -726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 28606827 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 614167 and -0.2933?\nAnswer: 614167.2933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66 - 45. Calculate the remainder when j is divided by (6\/1 - 9)*511\/(-219).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -8901.\nAnswer: -1780.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66018?\nAnswer: 2, 3, 11003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001547 rounded to 4 dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -151*b**4 - 122 wrt b?\nAnswer: -604*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385*f + 154*f + 400 = -191*f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.1 - -2.5. Let v = l - 3. Let t = 4.4 + v. What is the second smallest value in -2\/19, t, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 2030103?\nAnswer: -2030120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 5*t**2 + 2*t - 7. Let g = 32 - 35. Let q = 8 + g. Give p(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56915?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 796 (base 10) to base 12.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -4*f + 39, 4*t + 5 = -f + 2*f. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 f, and 1 z when four letters picked without replacement from {p: 2, m: 2, f: 2, v: 5, o: 1, z: 1}?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (3 - (6 + 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s = -5*s + 3417. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89 + (29 - (31 + (-24 - -4))).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 0, -3*d = -10*r + 14*r - 1356. Suppose -13*m + 18*m = -o + d, -2*o - 5*m + 919 = 0. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ookkkoxkok. What is prob of sequence kkx?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 7*h**2 + 3. Let y be m(-7). Solve 0*p - y*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 124658, 124321, 123396, 121589, 118606?\n\"Answer: -49*d**3 + 6*d + 124701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + d - 1. Let z(l) = 11*l**3 + 2*l - 5. Let g(m) = -2*u(m) + z(m). What is the first derivative of g(p) wrt p?\nAnswer: 39*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -159.2 to 0 decimal places.\nAnswer: -159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3*(((-84)\/(-1050))\/(12\/(-5)))\/(-2*1)\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (3 - 34)) + 2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 550 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1042*z**2 - 82*z**2 + 499*z**2 - 1580*z - 1562*z**2 wrt z.\nAnswer: -4374","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (28 + -26 + -2 - 1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 10 + 8 = -3*c, 0 = -2*c - 10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*g**3*s + 389084*g**3 - 28176*g*s**2 with respect to s.\nAnswer: -5*g**3 - 56352*g*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -8 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1175*k**4 + 4*k**2 + 1920.\nAnswer: -28200*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 w when two letters picked without replacement from wddddw.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 174 + 73. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/6 - 275\/(-15). Let y = 19 - q. Let u be -14 + 24 - 2\/y. What is u rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**5 + 2*q**4 - 16668*q**3 - 114816*q**2?\nAnswer: 60*q**2 + 48*q - 100008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 589 and 6\/(-81) + 366486\/2754?\nAnswer: 4123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1133 and 25399?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of y**7\/10080 + y**6\/720 - y**5\/96 - 7*y**4 + 3*y**2 + 1. Let l(r) be the second derivative of s(r). Solve l(f) = 0 for f.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(192) - (-1 + sqrt(192) + -2))**2.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 3*p + 13 = -7*z, 2*p + 2 = 2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, u: 3, l: 1, r: 6, p: 3}. Give prob of picking 1 r, 1 v, and 1 l.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8078 divided by -14?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*d - 0*d. Let p = 327 + -327.1. Which is the closest to d? (a) p (b) 0.3 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*2\/(-4))\/(((-278)\/(-33638))\/(4\/(-22)))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1377) + -6*(sqrt(1377) - (-1 + sqrt(1377) + sqrt(1377))) + sqrt(1377) + sqrt(1377) + sqrt(1377) + 5*-2*sqrt(1377)*1 + 1)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62254, 124505, 186756?\nAnswer: 249007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-50)\/(-12) + 7\/(-42). Let g = 7 - f. Solve -g*i = 2*i - 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -232 + -2043?\nAnswer: -2330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 2*f = 32. Suppose -3*s = s - k - 44, -2*s + f = k. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(-2*sqrt(8)))**2.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6000, 22790, 50760, 89910, 140240?\nAnswer: 201750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 12520.7?\nAnswer: 12520.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 64 + 1402?\nAnswer: 1466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1091 is divided by 84?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 1200\/16441?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1164*l**3*p + 112*l**3 - 3*l wrt p.\nAnswer: 1164*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*b - 279 = 8*b - 18 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (392\/6)\/((-6)\/(-9)). Let n = 473 + -333. Let j = n + t. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*k - 98 + 271 = -787 for k.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6852, 6577, 6298, 6015?\nAnswer: 5728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + b4c?\nAnswer: b4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*w - 737 = 53*w - 17*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2575*l - 74669. Calculate r(29).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 15 + 258602*l.\nAnswer: 258602*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 314 - 40. Let q = 12880\/47 - k. Suppose 0 = -f - f. Are f and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -97 - -97. Let w(q) = -q**2 - 4*q - 1. Let m(x) = -x - 1. Let s(u) = -3*m(u) + w(u). What is s(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -1 + -5)*1\/(-7). Let a(v) = -3*v + 24. Let n be a(9). Sort n, 0.02, q.\nAnswer: n, 0.02, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 356*t**3 + t**2 - 7*t + 5. What are the prime factors of u(1)?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -22. Calculate the remainder when 73 is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1430728 and 57356?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19777 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -310952*i**5 - i**4 + 141*i**3 - 83591054*i**2 - 1 wrt i?\nAnswer: -18657120*i**2 - 24*i + 846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 6 = -4*s - 30, 5*n = -4*s + 45. Suppose n = -y + 2*q, -4*q = 14 - 34. Suppose -z = -y, 3*z - 652 = -3*h + 9014. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/879637 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 103846151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 54984 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-11) - (-33100623)\/(-35343). Let u = a - -936. Is 1 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 324566 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 103681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -571603 - 0?\nAnswer: -571603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18*16\/1512)\/(100\/(-900)).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -5*s + 3. Suppose 0 = -4*n - 11*n + 75. Calculate q(n).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4403, 17777, 40061, 71249, 111335, 160313, 218177, 284921?\n\"Answer: -n**3 + 4461*n**2 - 2*n - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-11) - (93\/33 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4111*k**3*x**5 + 11*k**3*x**2 + 36*k*x**2 - 249*k*x + 33*x**6 wrt x?\nAnswer: 246660*k**3*x**2 + 3960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 6731441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-4)*(-288)\/(-2520).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -m + 38 - 19 - 16 + (2 - 4 + 0)*(2*m - 3*m + 2*m) in the form b + z*m and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 207 + -197. Put 4, 5, v, 3 in ascending order.\nAnswer: 3, 4, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -5276?\nAnswer: -5276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 38*m**3 - 4*m**2 - 3*m + 42. Let t(k) = 113*k**3 - 11*k**2 - 8*k + 123. Give 11*j(s) - 4*t(s).\nAnswer: -34*s**3 - s - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -12559401464 - -546?\nAnswer: -12559400918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 11*n**3 + 2. Suppose o + 59 = 2*a, 14*a + 163 = -3*o + 13*a. Let y(f) = 297*f**3 + 55. Give o*z(d) + 2*y(d).\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-15)\/(-6))\/((-8)\/(-16)). Solve -3*b + q*o - 14 = 0, 0 = -b - 5*o + 3*o + 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0418 times -1\nAnswer: -0.0418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/20*155\/(-93)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -29*q**2 - 2*q + 3. Let h be p(3). What is h rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2 - 2. Let n(p) = 2*p**2 - p + 3. Let x(g) = -4*j(g) - 3*n(g). Determine x(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 569 + 73 = 0. Let j = -44 - z. Calculate the highest common factor of 20 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 + 24 - 41)*(3 - 4 + 3)*(0 - 6 + 4)*(-1246 + 1246 + 24*r).\nAnswer: -480*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -635.000011236 - -635. What is s rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5439093 + 10185093. What is j rounded to the nearest one hundred thousand?\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 80 = -5*d, 294*x + 83 = 5*d + 290*x for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46 - (0 + -43)) + (0 - (0 - -3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 0\/(-2))\/(4\/(-24)). Let c = g - -68. Does 17 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 10*m**2 - 2*m + 87. What is j(-11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -27 + 23 + (-13 - 0)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -69?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f - 4. Let k(t) be the first derivative of -11*t**2\/2 + 9*t + 2. Suppose -3 + 11 = 4*n. Suppose 2*q + n*q + 24 = 0. Determine q*k(o) - 13*j(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*w + 31 = -124 - 27 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*r = -8, -3*l - 16 = -7*l - 3*r. Suppose 0 = -2*b - 2*o - 66, 2*b + 122*o - 128*o = 54. Put l, b, 5 in decreasing order.\nAnswer: 5, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 + 26 + 2*z + 33.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -9. Suppose 2*p = 7*p + a*d - 410, -d = -3*p + 229. Let m = -15 + p. What is the greatest common factor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60333?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -615526*w**3 + 121130*w**2 wrt w?\nAnswer: -3693156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1408+-2744612\nAnswer: -2746020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 60.111948 to 1 decimal place.\nAnswer: 60.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1845215 to the nearest integer?\nAnswer: 1358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from pptkxjjxxkxxjx?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 2*y - 1. Let v be i(4). Let p be (-2 - (-1 + -2)) + (0 - (18 - 17)). Suppose v*l = -p*l + 91. Sort 4, 3, l in descending order.\nAnswer: l, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1326 is divided by 213.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(1 + -2) - 2. Let d(h) = 3*h**2 - 2*h + 4. Let k(v) = -6*v**2 + 5*v - 9. Let y(c) = n*k(c) - 9*d(c). What is the second derivative of y(p) wrt p?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2215*i**3 - 6*i**2 - 36*i + 12. Let j(r) = 2779825*r**3 - 7531*r**2 - 45186*r + 15062. Determine -6*j(u) + 7531*y(u).\nAnswer: 2215*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (84\/(-378))\/(320\/(-3360))\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -i**5\/70 + 9*i**4\/14 - 68*i**3\/21 - 96*i**2\/7 + 94*i - 2. Solve w(j) = 0 for j.\nAnswer: -1, 4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 12*a**2 - a - 10. Calculate g(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19220 (base 12) to base 8.\nAnswer: 107370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3486 = 12*k - 19650. Suppose -k - 1161 = -4*i. Suppose 521 = 7*h - i. List the prime factors of h.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 125158355?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**3 + 79*m**2 - 119*m + 3193. Let g be a(39). Solve -g - 55 = 32*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7335337 - 21?\nAnswer: -7335358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + (-52)\/6 + 4. Which is the third smallest value? (a) 28 (b) n (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000010697539 to seven decimal places.\nAnswer: -0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of b**6\/100 + 11*b**5\/75 - 47*b**4\/60 - 6*b**3\/5 + 2*b**2 + 1358*b. Factor c(z).\nAnswer: 2*(z - 2)*(z + 9)*(3*z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-205)\/410)\/((-1)\/((-6)\/(-4))). Which is the biggest value? (a) 0 (b) 4\/7 (c) 3 (d) v (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -t**4\/20 + 3*t**3\/10 - 3*t**2\/5 - 15*t. Factor z(w).\nAnswer: -3*(w - 2)*(w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - 36*p = -11*p - 5*d - 137, -4*p + 7*p - 2 = -10*d for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14142 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zcczc. What is prob of picking 2 z and 1 c?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 1, 802\/3, -3 in descending order.\nAnswer: 802\/3, 8, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 9:48 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away -16.15?\nAnswer: 16.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 819\/21 - (6 - 1).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 8*c + 0*c + 10*c)*(23 - 1 - 6).\nAnswer: 32*c - 320","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 1)*(3 - 3 - 3*j) + 6*j - j + 2*j)*(1 - 2 + 5)*(1 + 4 - 1).\nAnswer: 160*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bnf when three letters picked without replacement from {b: 2, n: 1, r: 6, f: 4}.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/11, 2\/3, -22\/9 in decreasing order.\nAnswer: 4, 2\/3, -1\/11, -22\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10*14\/(-140))\/(-7)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11001010 (base 2) to base 15\nAnswer: -d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -6. Suppose -5*l + 46 = 2*g, -3*l + 4*g - 52 = -v*l. Let t be 16\/6*(8 + 1). Calculate the greatest common factor of l and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 11528.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 184, 200, 242, 322, 452, 644, 910, 1262?\n\"Answer: 2*t**3 + t**2 - t + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t + 26*t + 0*t + 0*t.\nAnswer: 23*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -1. Suppose 3*f = -f - r, 3*u - 612 = 3*f. What are the prime factors of u?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*u + 36 = 0. Let a be 4\/(-2)*u\/6. Suppose -1504 = -6*h + 2*h + 4*z, -a*h = -2*z - 1133. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z**2 + 4*z - 14. Let s be f(-4). Solve -d - 3*i = -s, -3*i + 6 = 2*d - 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72 - -47 - 144 - -138\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a meter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 0*y**2 - y**2 - 6 - 4*y + 0*y**2. Let p = -25 - -43. Let j be 3\/6 - p\/4. Give t(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (1 - -2 - 1) - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 3. Suppose 2*n - c - 7 = 0. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(507 + 69 + 427)*(-3*b**4 + 2*b**4 + 2*b**4).\nAnswer: 2006*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -61*f - 8414. Give o(-137).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 1. Suppose -3*a + j = -j + 10, 2*a = -2*j. Let m(s) = -9*s - 9. Determine a*m(f) - 21*v(f).\nAnswer: -3*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**2 + 3*n + 6. Let g be f(3). Let s be 3\/(-2)*(-6020)\/g. Let m = s - 6. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 37. Let d = 18.1 + g. Which is smaller: d or -11\/7?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b**2 - 12. Let s(k) = 6*k**2 - 14. Let d(x) = -2*x**2 + 19*x + 3. Let c be d(10). Let t(f) = c*h(f) + 6*s(f). Let j(m) = m**2 + 45. Give j(t(o)).\nAnswer: o**4 + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 238226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 470070 and 5940?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 0) + -3 - 146. Let d = g + 216. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.23 and 258641720.65.\nAnswer: 258641720.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 34.38951 grams?\nAnswer: 34389510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -3*w + 5*n, -284*w + 5*n + 6 = -283*w. Suppose i - 45 = 3*r + 95, 2*r = 10. Calculate the greatest common factor of w and i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0. Let r be -3 - -4 - 2239\/(-9). Let a = r - 250. Do d and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 999521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zkkzkkzxzzkkznkzx. Give prob of sequence knk.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/6*(89 + -86). Let r(p) be the second derivative of 0*p**4 + 2*p + 1\/5*p**5 + 0 - 1\/2*p**3 + 0*p**i. What is the second derivative of r(o) wrt o?\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98968, -100116, -101266, -102418, -103572, -104728?\nAnswer: -105886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*(5*(-3 + 0 + sqrt(288)) + -6*(sqrt(288)*3 - sqrt(288))*-1))**2.\nAnswer: -881280*sqrt(2) + 12017808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.207304832 to two decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*s - 16*s**2 + 7*s**2 + 12 - 8 - 6 to y*s**2 + z*s + a and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2898 + 2898 + 25*p.\nAnswer: 25*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 22*a = 162. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 6) to base 2.\nAnswer: -11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/241 - 2197\/3374. Suppose 5*f + 4*f = 0. Which is smaller: f or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*f - 3880000 = -19*f + 10384800. Round f to the nearest one hundred thousand.\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0597 + 45.0597. Let a = p - 40. Sort a, -11, -2, -0.4.\nAnswer: -11, -2, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrbf when four letters picked without replacement from {m: 1, s: 3, b: 2, r: 2, f: 4}?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 997 a factor of 326151601?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v + 9. Let a(t) = -5 + 2 + 7 + 5 - 65*t + 68*t. What is 6*a(h) - 5*z(h)?\nAnswer: -2*h + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.1, 5.9 in descending order.\nAnswer: 5.9, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120021 - -1?\nAnswer: -120020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 5*q - 21, q - 98 = 2*a - 85 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-4455)\/27)\/(-2 - (-51)\/27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l**3 + 10*l**2 - 53*l - 13. Let q be a(-4). Calculate the highest common divisor of 24 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -101804 + 2?\nAnswer: -101802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by -89.\nAnswer: 48\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - b + 5*b - 40 = 0, -5*b = -3*h - 24. Let c(f) = 23*f**2 + 2*f - 57. Is c(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5362.8 + -5363. Let g be (-2 + -2 + 4)\/(-2). What is the fourth biggest value in g, -3, -0.1, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -6*b + 168. Let j be r(20). Let c(a) = -92*a + 9 + j*a + 45*a. Give c(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -316 + -0.2.\nAnswer: -316.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 339\/1*3\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 196 by 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/1 + 0 - 2. Let p = 3 + g. Find the first derivative of -1 - p*d**3 + 4*d**3 - 1 wrt d.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 409680 and 480.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 124 + -113. Calculate the greatest common factor of 33 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (0 + -2 - (11 + -13) - -26).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.014 and 34375166559.72?\nAnswer: 34375166559.706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*y = 51*y + 120 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37\/5 - -143\/20. Let u = 45 + -42. Let d be 1*u - 117\/45. What is the closest to t in 2\/13, 2, d?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3 + 1 = 0. Let h(r) = 1 - 7*r - 8 + 10*r. Let s(o) = o. Let x(d) = -h(d) + 4*s(d). Calculate x(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/40690 and -21\/286?\nAnswer: 447590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 14. Find the second derivative of 3*d + g*d**2 - 7*d + 2*d**2 wrt d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, 5, -1 in ascending order.\nAnswer: -1, 5, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 12 = -4*s. Suppose 3084 = s*k - 3*f, -f = 3*f - 16. Let u = 1814 - k. What is u rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 4943232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t**3 + 795393 - 397641 - 6*t**3 + 6*t**3 - 397752.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3051273141 rounded to 5 decimal places?\nAnswer: -0.30513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1895479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-187 - 101193\/(-534))\/(10\/(-336))\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cicicic. Give prob of sequence ci.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 2*n + 48. Let m(s) = 19*s + 33. Let v be m(-2). What is the tens digit of z(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 7*v - 155, -9*v + 3*v = -8*v + v + 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z - 2. Let q = -19 + -45. Let x = q - -38. Let w = x - -30. What is k(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 777 divide 145418182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 102 + -104. Sort 1, p, -0.02, -4 in descending order.\nAnswer: 1, -0.02, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 5. Let o(c) be the second derivative of -2*c**4\/3 - c**2\/2 - 2*c. Let i be o(1). Let m be (-3)\/i*(0 + 0). Give w(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - j - 2130*j**2.\nAnswer: -2130*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 7 = -3*u, -u - 3*u - 4 = 0. Suppose -5*o = -r*o. Solve -3*i + o*i + 15 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: -5*0.05\nAnswer: -0.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 7. Suppose -8 - 7 = -3*s. Solve -z - 1 + 3 = 0, 0 = s*n - 2*z - a for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = 2*l + 472. Calculate the remainder when l is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3250\/(-50))\/(-65))\/(23\/(-3)).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1561060437?\nAnswer: 3, 1223, 425473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -19 + 28\/(19488\/12470)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*q - 685518 = -4428378. Is 19 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*b - 68*b + 31775350. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -5*s**3 + 24*s**2 - 25*s + 78. Let v be l(20). Let b = v - -2774119\/90. What is the common denominator of b and -131\/110?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*f + 21 = 68*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 2*u - u)*(-4 + 4 - 3) + 9502212 - 9501890 + 0*u + u.\nAnswer: 7*u + 322","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(4)\/(sqrt(200)*2).\nAnswer: -3*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/3822 and 191\/1470.\nAnswer: 19110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**2 + 1. Let l be i(1). Let f be 0 + l + (-6)\/2. Let v = 28758 + -28768. What is the closest to 1 in f, -0.5, v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**4 + 101 + 261 + 5190582*d**5 - 5190590*d**5 + (-d**4 + d**4 + d**4)*(-d + 0*d - d).\nAnswer: -10*d**5 + 2*d**4 + 362","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1672042129 + 0.16722. Round d to 7 dps.\nAnswer: 0.0000158","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 118500000 = -0*h. Suppose 17*p = 14*p - h. What is p rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/2 - 1153*l\/2 + 555625.\nAnswer: -(l - 625)*(l + 1778)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**2 + 2*f + 1. Suppose -2*c + 6 = 0, c - 18 = -4*i - 35. Let a(v) = -4*v**2 - 2*v - 1. Give i*a(p) - 6*m(p).\nAnswer: 2*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -5*t**2\/2 + 13844*t + 5538 = 0.\nAnswer: -2\/5, 5538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 774 = 4*r - 7*r, 0 = -4*r + 5*p + 1037. Suppose 5*f - 783 + r = 0. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.5 - -14. Let p = 4 - g. Round p to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57 - -467. Let c = p - 410.3. What is the smallest value in 8, -1\/2, c?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5 = 0, -2*j = 2*y - 5*j - 15. Let q = 10560 - 10561. Let n = 4 + -6. Which is the nearest to y? (a) n (b) q (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 35*d**2 - d + 1. Give v(1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115 - 432147.4.\nAnswer: -432032.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0 + 12 = 4*u, 15 = 3*u. Let y be (-4)\/10 - f\/(-10). Let r(n) = -n**2 + n. Let p be r(y). Solve -4*v - 4*l - 4 = 0, -3*v + 3*l + 0 - 3 = p for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, 2\/7, 2519, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 + 0.114008?\nAnswer: 0.054008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-49)\/(1176\/(-96)))\/(33 + 1)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s**2 - 2 + 2)*(-s - 3*s - s).\nAnswer: 25*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 3\/25, 15810\/7?\nAnswer: 15810\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 8*g + 27 = 0. Is 9 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 42\/4 - (306\/12)\/17. Let x be ((-61)\/g + 7)\/(3\/27). Solve 0 = 2*w + 2, -5*i = -x*i + 5*w + 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1779706334 - -0.4.\nAnswer: 1779706334.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 40951099463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -28*u. Let g(m) be the third derivative of -m**5\/4 - 2*m**3\/3 + 270*m**2. Calculate g(d(i)).\nAnswer: -11760*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28493509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -17, 24.2, 1.9?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7545355 divided by -21\nAnswer: -7545355\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by -7845.\nAnswer: -34\/7845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1377 - 1374. Let b = -0.36 + -2.64. What is the closest to -1 in -2\/21, m, b?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16437216 - -68846?\nAnswer: -16368370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/286 and 95\/312.\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + ((-8)\/(-14))\/((-334)\/(-5845))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -626 = -80*v + 632 - 298 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 12*b = 8*b - 214, -12 = 3*b. Let h = 91 + -52. Suppose -5 + h = u. What is the remainder when j is divided by u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -2*v**3\/3 + 47*v**2\/2 + 17*v + 14. What is t(14)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0 = -7. Suppose -3*m + 4*m = 0. Suppose -3*a + a + 22 = m. Calculate the smallest common multiple of a and y.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (10\/15 + 22\/(-6)). Which is the closest to 2\/9? (a) -2\/5 (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, 2, 0.2, -3\/5, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**2 + 88*x - 812 = 0 for x.\nAnswer: -29, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10*((-11)\/(-5) + -1). Suppose 0 = 2*g - 2*c - c - w, -2*g - 3*c = 0. Put g, -2, -4 in decreasing order.\nAnswer: g, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2576 and 273.\nAnswer: 100464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 24\/691?\nAnswer: 24\/691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, o: 1, i: 1, b: 1, d: 1, r: 2}. What is prob of sequence tr?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m - 20. Let g be u(-6). Calculate the highest common factor of 64 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63985 is divided by 63899?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of j**6\/30 - 91*j**5\/20 + j**4\/6 + j**3\/6 - 71*j. Find the third derivative of s(b) wrt b.\nAnswer: 24*b - 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) - sqrt(143)*-1) + sqrt(143))\/sqrt(11) - (2 + (sqrt(117))**2).\nAnswer: -119 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1143, -1164, -1197, -1248, -1323?\n\"Answer: -z**3 - 14*z - 1128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 4*x + 33*x - 5 to the form n + u*x and give u.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccucuuiucu. What is prob of picking 1 u and 1 c?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -138*1*3\/(-9) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 - -41) + 0 - -5.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 287559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*z = 1609 - 521 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 5*a + 103, 16914*m - 53 = 16913*m + 4*a for m.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63060 = 427*o + 316*o - 338*o + 646*o for o.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -4.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*n**3*w - 26*n**2*w - 3*n*w wrt n.\nAnswer: -222*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 341 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.2 (b) 0.41 (c) 1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 9667?\nAnswer: 29001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 15 - 3 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(0*s + 3*s + 0*s) - 4*s + 2*s + 0*s + (3 + 1 - 6)*(15*s + 69 - 69).\nAnswer: -38*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 7*i - 7. Let q = 93 + -63. Suppose 3 = -5*j + 28, -q = 5*g + 4*j. Does 11 divide x(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309*k**3 - 308*k**3 + 619*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*n**2 + 14*n**2 + 1 + 7*n**2 - 14*n**2.\nAnswer: -19*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15000 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 10*z + 3. Let s be f(0). What is the third derivative of -49*i + 13*i - 2*i**s + 16*i - 318*i**2 + 20*i wrt i?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 352?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/3))**1)**(-12\/5)\/((x*x\/(x\/x**(-2\/9))*x)\/(x*x\/(x**7\/x))*((x\/(x*x*x**1))\/x)**(-14)) assuming x is positive.\nAnswer: x**(-2222\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4*a - a - 6 = 0, -2 = -3*m - 2*a. Let t(z) = z**3 - 5*z**2 + 4*z. Let b be t(4). Let o be (-1 - b - -2) + 2. Put m, 1, o in decreasing order.\nAnswer: o, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y + 34. Let f be h(-6). Suppose -f*p + 7*p = -315. Let c = p + -19. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -25, -2, 21, 44, 67, 90?\n\"Answer: 23*r - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269883424.\nAnswer: 2, 137, 61561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 113641 = -18158. Let o = 67 + -65. Suppose h = -o*u - 10067. What is u rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -64823 and -3239818.8.\nAnswer: -3304641.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32103076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -446572 and -893145\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2\/7)*r*r**(-5\/6))\/(r*r*r**(2\/11)*r*r**(-2\/5)) assuming r is positive.\nAnswer: r**(-4391\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2482133629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.1 - -0.017448234?\nAnswer: -12.082551766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zyyssyzzyyz. What is prob of picking 1 s, 2 z, and 1 y?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (-6)\/21)\/(28 + (-21980)\/784).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -16, -3, -1, 9 in descending order.\nAnswer: 9, 4, -1, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of q**6\/60 + q**5\/40 - 5*q**4\/24 + q**3\/4 + q - 79. Factor v(r).\nAnswer: r*(r - 1)**2*(r + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 162, -545\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-579 + 564 - (-2 + -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(175) + -4 - -5*(-2 + sqrt(175)))**2.\nAnswer: -980*sqrt(7) + 8771","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -100100100100201 (base 3) to base 11\nAnswer: -289280a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 22. Suppose -2 = o - 2*b, -3*o - b - 6 = -h*b. What is the tens digit of ((-53)\/o)\/((-13)\/(-26))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkjsslss. What is prob of sequence js?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11567 by -59.\nAnswer: -11567\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + -14. Let u be 0 + -2 + 0 - -9. Solve 4*l = u*l + k for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2938.181 kilometers to millimeters.\nAnswer: 2938181000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4945 + -733?\nAnswer: 4212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 11*f**2 - 119*f - 8. What is k(11)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wtbviwss. What is prob of picking 1 t and 1 i?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1918370 is divided by 639453.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 + -20. Suppose 0 = 3*h - 3, -a*q + 2*h + 6118 = -0*q. What is q rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + y = -2*a + 6, -2*y + 10 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31.5 + -32. What is the biggest value in h, 0.02, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 241403*a*o**3 + 57520*o**3 + o**2 with respect to a.\nAnswer: 241403*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**2 - 16920*s + 6576404 = 0.\nAnswer: 433, 3797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2239592 and 224.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.057, -1\/3, 5, -0.2, 59, 0.5?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 498027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 3:48 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, -183, -287, -391, -495, -599?\nAnswer: -703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*c + 23*c + 2032. What is the remainder when c is divided by 47?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6189, -24447, -54771, -97167, -151641, -218199, -296847, -387591?\nAnswer: -490437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -189181 * -94.\nAnswer: 17783014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -23. Which is greater: o or 48\/11?\nAnswer: 48\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -49 and 0.0067.\nAnswer: -0.3283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*r + 33*r = -3*t + 13, 4*r - 4*t + 8 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r + 3\/2*r**2 + 0*r**4 + 0*r**3 - 1\/10*r**5 + 0. What is the derivative of a(i) wrt i?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73*m - 73*m + 24*m**2)*(2*m**2 - 4 + 4).\nAnswer: 48*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 167567 and 23119.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k + 7. Let u be f(-2). Let l(s) = -s**3 + s + 2. Let i be l(-3). Suppose v - 4*y = u, y - i = -5*v + 41. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (26*s - 16*s + 2 + 16*s - 3*s**3 - 131*s)*(3 - 3 - 2) as y*s + v*s**2 + i*s**3 + o and give y.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t = -35*t + 29664. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 772864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4491860 and 1796744?\nAnswer: 8983720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6b38 (base 12) to base 3.\nAnswer: 121110022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(-85) - (-20)\/(-100).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**3\/6 - 302*i**2\/3 - 1805*i\/6 - 601\/3 = 0.\nAnswer: -601, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 15.1. Let h = s - 1. Which is the second smallest value? (a) -4 (b) 0.4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 8:13 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -3*c**4 + 9*c**2 - 6*c = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**2\/3 - 5108*r - 9784374 = 0.\nAnswer: -3831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49 - 49 - 9*f**2 + 6*f + 3*f**4.\nAnswer: 3*f*(f - 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 1\/54*z**4 + 2\/9*z**2 - 2*z + 1\/9*z**3 + 0. Factor r(x).\nAnswer: 2*(x + 1)*(x + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/6 (b) -0.8 (c) -3 (d) -9\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.045319 and -1.6.\nAnswer: -1.645319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/7, -0.277, 5, -12\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*i + 2236 = 0, -5*j + 33*i + 2756 = 37*i. Calculate the remainder when j is divided by 51.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 6*j - 10. Let a be x(-10). Suppose -3*t - a + 0 = 0. Let d(y) = y**3 + 12*y**2 + 16*y + 14. Does 9 divide d(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -69?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*z + 129, -3*z - 5*o - 231 = -0*z. Let w = 102 + z. What is the remainder when w is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25004573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6132089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 147.224 + -0.224. Let y = 146.88 - i. Which is smaller: y or 1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-10) - (-117)\/15. Let c = -5 + z. Suppose 0 = 2*b + b - c. Do b and 3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.049 - 0.451. What is f rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two fifteenths of a week?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/3 - 15730*x**2\/3 - 5244*x.\nAnswer: 2*x*(x - 7866)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from ckkqkkqocckkc?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2170 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 735586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k + k**4)*(3 + 2 + 0).\nAnswer: 5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + 0*c**2 - 2*c**2)*(11 - 6 + 6)*(-3*c - 1 - c + 5*c).\nAnswer: -22*c**3 + 22*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 3 - 3)*(-386 + 1482*u**2 - 4938*u**2 - 1183*u**2 + 386).\nAnswer: 4639*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -543 + 557. Calculate the remainder when 95 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**3 - c - 3*c + 8*c**3 = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b - 4. Let r(u) = u - 1. Let y(x) = -x + 6. Let h(m) = 4*m - 1. Let q be h(2). Let t be y(q). What is t*p(l) + 6*r(l)?\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 10*v**2 - 4. Let i be t(-6). Let x = -79 + 84. Suppose 0 = -x*r + 7*r - i. List the prime factors of r.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 3:58 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 424518307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 - (-6 + 7 - -6) - (-26 - -52).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 4*b**4 + 1338560*b**3 - 4015704*b**2 + 4015712*b - 1338572 = 0.\nAnswer: -334643, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 5*q**2 + 1. Let v be r(5). Which is smaller: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 7*b**2 + 5. Let x = 3 + -20. Let t = -10 - x. Let p be v(t). Solve 2*o + p - 1 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -41 and 116763.\nAnswer: 116722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - c**2 + 18. Let j = -3 - 2. Let y(t) = -t**2 - 7*t. Calculate the smallest common multiple of k(0) and y(j).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -7354*a - 3972. Determine c(-1).\nAnswer: 3382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + sqrt(19)) - ((sqrt(209) + 2*sqrt(209))\/sqrt(11))**2.\nAnswer: -166 - 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/286 and 85\/728.\nAnswer: 8008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118662?\nAnswer: 2, 3, 19777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/2))**(-25)*y*y**(2\/15)*((y*y**(-6))\/y)\/y assuming y is positive.\nAnswer: y**(949\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (-6 - -5)*3. Let v(l) = 4*l - 67 + 70 + 0*l - g*l. Let t = -3 - -1. Calculate v(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1476 and -77830.\nAnswer: -76354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 922 by -1.\nAnswer: -922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -8 + 5 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - p + 4 = 0, -5*k + 2618 - 2640 = -3*p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -a + 36. Suppose -7*d - a = -37. Suppose -2*p + 5*b = -23, -3*p - 5*b + 5 = 2*p. Solve 5*z = s + p*s - 5, -s = d*z - 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00276156 * -0.004.\nAnswer: 0.00001104624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79020*b**3*h - 13*b**2*h + 9*b*h + 51 wrt b.\nAnswer: -474120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -1, -2, 648, -3, 2 in decreasing order.\nAnswer: 648, 3, 2, 1, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -5*f + 17. Calculate u(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31 or -59\/2?\nAnswer: -59\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/5 and 37\/1565.\nAnswer: 1565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 7*h + 7. Suppose 4 = x - 3*t + t, 3*t + 21 = -x. Let y be n(x). Solve -11 = -4*o + 3*c, -o + 0 = -2*c + y for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 12031792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**2 + 5. Let q(u) = u + 100. Give o(q(t)).\nAnswer: 3*t**2 + 600*t + 30005","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 10:22 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56 - -87. List the prime factors of j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28832*m - 4*j = 28834*m + 38, 2*m = -3*j - 28 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11202 (base 3) to base 15\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 40*y**2 - 36*y + 153. Let g be d(-39). Let t(w) = w**3 + 9*w**2 + 17*w + 21. Let c be t(-6). Calculate the highest common divisor of c and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by -339482.\nAnswer: -8\/169741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3394342841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000636 rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 190169426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 4*i + 4*d = 16, 0 = -5*i - 6*d - 70 + 86 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 1\/120*x**6 - 1\/24*x**4 - 21*x**2 + 0*x + 1\/3*x**3 + 3\/20*x**5 + 0. What is the smallest common multiple of k(-9) and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 4*k - 8*k = 9, -30 = 2*p - 5*k for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**2*n**3 + 13*i**2*n - i*n**4 - 8*i*n**2 - i + 467230*n**4 - 2327*n**2 wrt n?\nAnswer: 6*i**2 - 24*i*n + 11213520*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 1597141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2328 times 0.01092\nAnswer: -25.42176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z + 8*z - 491 + 253 + 7*z - 5*z + 238.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of 0 + 0*x**3 + 1\/40*x**5 - 2*x**2 + 0*x + 1\/24*x**4 + 1\/240*x**6. Suppose g(j) = 0. What is j?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**2 + m**3 - 3*m**4 - 3*m**2 + 5 - 13 + m + 16 to the form a*m + v + b*m**2 + g*m**4 + p*m**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -269*w + 136 - 307*w - 27*w - 180 - 604 wrt w?\nAnswer: -603","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((16\/120)\/((-54)\/(-81)))\/(1\/(-1))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3 = 4*k, -4*l + 4*k + 7 + 5 = 0. Sort 822, -1, l, 5, -4.\nAnswer: -4, -1, l, 5, 822","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 709\/603070 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 196\/2 - (-45)\/(-9). Let n = k - 104. Is -16 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 32*c - 31. Let f be i(-31). Suppose f*o = -14*o + o. Which is smaller: 11\/17 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*n**3\/2 - n**2 = 0 for n.\nAnswer: -2\/27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 33600 rounded to the nearest one thousand?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**3\/2 + 7*q**2\/2 + 49*q\/2 - 55\/2 = 0. What is q?\nAnswer: -5, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10181 or 24432?\nAnswer: 24432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -7*w - 40. Is v(-12) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -47 - 4*s - 4*s + 44. Let f be i(-5). Suppose 3*k = f - 10. What is the remainder when 28 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 - 1926*w + 309123.\nAnswer: 3*(w - 321)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-105) + 51\/7 + (31 - 37)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.5513 - -1.56. What is y rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(-3) - 271\/24 and 51\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.11 - -4.89. Let k = 10 + -9. Let q = 0.2 - 0.1. What is the nearest to q in k, v, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 7*j - 4. What is a(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 677.43\nAnswer: 270.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -480, 1213, 1, 36 in ascending order.\nAnswer: -480, 1, 36, 1213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 2*y**3\/3 - 21*y**2 - 42*y - 87. Differentiate r(k) wrt k.\nAnswer: 4*k - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9274 - -19943. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/2)\/(14\/(-238)). Let a = x + -30. Suppose -a = -3*k - 45. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 27. Let x = 9 - 7. Let t(z) = z**3 + z**2 + z + 1. Let l(u) = 3*u**3 + 8*u**2 + 5*u - 1. Let y(b) = x*t(b) - l(b). Determine y(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 26712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f + 2?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/a**(1\/2))\/a)\/(((a**(2\/7)\/a)\/a)\/a))\/(a\/(a*a*a**(1\/3)))**(-2\/57) assuming a is positive.\nAnswer: a**(7583\/2394)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14225?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -762985924 smaller than -762985924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**4 + 3*z**4 - 2*z**4)*(2 - 1 + 5) - z**3 - z**4 + 6*z**4 - z**4.\nAnswer: 22*z**4 - z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 28701221 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/(-2) + -3)*2. Find j such that -2 - 15*j**2 - 15*j**3 + 12*j**4 + 5 + 9*j + 6*j**v = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxmmxjjmjmcjxmj. Give prob of picking 1 j and 1 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -22c + 40206?\nAnswer: 3ddb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 306100777, 306100776, 306100775, 306100774?\nAnswer: 306100773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**2 + 3 + t**2 - 3 + t**3 - t in the form p*t**2 + a + c*t**3 + q*t and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 79 - 20 = 0. What is the remainder when 1512\/30 - (-3)\/5 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57617.\nAnswer: 7, 8231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17253233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -320 + 0?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m - 14*m**2 - m + 12*m**2 + 29*m**2 wrt m?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 3*s - 4, -4*p - 4*s = -6*p - 14. What is the smallest value in p, -0.3, 2\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 562 - 70*z + 138*z - 67*z to the form w + p*z and give w.\nAnswer: 562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 773 + -431. Let d be w\/72 - (-3)\/(-4). Suppose 2*z - d*s - 64 = 0, 0*z - 128 = -4*z + s. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 4 = -n, -2*n = -36*m + 34*m + 34 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1590*z - 2 + 7 - 2.\nAnswer: -1590*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 2:43 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 + 12)*(-2 - 1 - 3)*(4*h - 4*h - 5*h) to v*h + r and give v.\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 58.\nAnswer: -5\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2611 + 2606. Sort -17, x, 1, 4 in descending order.\nAnswer: 4, 1, x, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4693126393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + 1*(sqrt(1377) + 0 + sqrt(1377)) + 1)**2 - (sqrt(357)\/(sqrt(14)\/sqrt(2)))\/(sqrt(3) - (sqrt(3) - (sqrt(3) - sqrt(243)*-2)) - sqrt(3)).\nAnswer: 971*sqrt(17)\/18 + 12394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -57624 and -0.211.\nAnswer: 12158.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 52, 20, -1, 0 in ascending order.\nAnswer: -1, 0, 20, 40, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5*o - 80 = 0, -o - 3*o + 79 = 3*n. Suppose 13*b - n = 8*b. Solve -b*j - 12 = 13 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.9 (b) 3 (c) 147.1 (d) 5 (e) 2\/11 (f) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16992 divided by -5664.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**5\/80 + 3*p**4\/8 + 11*p**3\/8 + 4*p**2 + 4. Suppose n(u) = 0. Calculate u.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-3096)\/312 + 18?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/13 + 31\/52. Factor -3\/4*j**3 - u*j**5 + 0*j - 3\/2*j**4 + 0*j**2 + 0.\nAnswer: -3*j**3*(j + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*r + 70*r - 14*r**2 - 33*r.\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/3 + (-1)\/3. Let u(m) = m - 5. Let k be u(4). Let f be p*k\/2 - -4. Let i(o) = o**3 - 4*o**2 - o - 4. Calculate i(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 306, 174, -32, -300, -618, -974, -1356?\n\"Answer: 2*a**3 - 49*a**2 + a + 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 287*t**2 - 19*t - 17. Let d be r(-1). What is the greatest common divisor of 85 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 2\/11, -5, -0.5, -1.2772?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((117\/26)\/(9\/(-3)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34576312.959 + 34.\nAnswer: -34576278.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + t = 15, -2*a + 184 = 3*t + 171 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 28.\nAnswer: 0, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -294, -1176, -2646, -4704, -7350, -10584?\n\"Answer: -294*r**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1193 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13\/920, 0.5, -24, -1?\nAnswer: -13\/920","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19.27 + -16.27. Let y = 69\/7 + -179\/21. What is the third smallest value in a, 5\/6, 4, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**3 - 3 + 3 + (-3*u**2 + 2*u**2 + 2*u**2)*(0*u + 2*u - u) + (4*u - u - 4*u)*(4*u - 4*u - u**2) + 3*u**3 + 13*u**3 - 9*u**3.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 10*i**2 + i + 12. Let u be c(-10). Let v(m) = u*m**2 + 8*m - 8*m. Let q(t) = 4*t + 54 - 110 + 56. Calculate q(v(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 + 40. Let j be (x\/(-2) - 4) + 1. Solve -5*w + 45 = 5*k, 0 = -4*w + 4*k + 2 + j for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 284 and 3479?\nAnswer: 13916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75 - -3)\/4 - (-4680)\/72.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 505372 and 56?\nAnswer: 1010744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74 + 77. Suppose -d - 41 = n + 4*n, -d - v*n = 51. Let s = d + 277. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000587250796 rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -229*a**2 + 25398*a + 2331 = 0.\nAnswer: -21\/229, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 189 and 433.56016.\nAnswer: 622.56016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/15190*-5)\/(2\/14)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -28+-5641532103\nAnswer: -5641532131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 11 + 21 = 0. Suppose -9 - 67 = -2*g. What is the remainder when 19 is divided by z\/12 - g\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-8))\/((27\/90)\/(16\/40))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19584660, 19584662, 19584664?\nAnswer: 19584666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b**2 - 6*b - 7. Let h(v) = v**2 + 1. Let n(m) = 3*h(m) - o(m). Give n(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 158200 to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 134 = -4*z, z - 4*b = -7 + 37. Let x = 767 - 758. What is the remainder when z is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*c = -74, 52 = 5*v - 3*c - 22. Does 38 divide (-1)\/(-2) + -1 - (-4168)\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -39? (a) 3 (b) -39 (c) 0.1 (d) -16 (e) -257\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.067 (b) 4 (c) 1\/5 (d) 0.5 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 o when two letters picked without replacement from {s: 1, v: 2, o: 7, l: 3, x: 7}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 79257409 - -4?\nAnswer: 79257413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26191 - -42027. Does 224 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (143\/(-22) + 7)\/(2\/4). Let v(q) = -3*q + 3. Let o(a) = 1. Give x*v(u) - 2*o(u).\nAnswer: -3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8619536*d - 8619536*d - 707*d**3.\nAnswer: -707*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*b + 47*b - 4 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31583067917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 5, -1, 10, -24 in decreasing order.\nAnswer: 10, 5, -1, -24, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 z when two letters picked without replacement from prpppzpvzpvzglv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 34 times -0.07238005\nAnswer: -2.4609217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 55*q = 56*q - 3, -5*u - 3*q = -19 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*z - 22 + 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 0*o + 0*o**4 - 17\/6*o**3 + 3\/20*o**5 + 2*o**2 + 0. What is the derivative of w(b) wrt b?\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -361.8 in -5, -2, 3\/5, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**20\/u)*u*u**(-4)\/u)\/(((u*u**6)\/u)\/(u\/u**(2\/21))))**(1\/58) assuming u is positive.\nAnswer: u**(-569\/1218)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-80 - 1)*(-3)\/9. Let z be 2\/(-9) - (-87)\/f. Sort z, 5, 0 in descending order.\nAnswer: 5, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 4*s + 4. Suppose s*u + 15 = 63. Solve 10 = -u*o - 6, 2*o = 3*v - 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**7\/1680 + n**6\/720 - n**5\/240 - n**4\/48 - 8*n**3\/3 - 18*n**2. Let j(b) be the first derivative of a(b). Factor j(q).\nAnswer: (q - 1)*(q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/59 + -227\/177. What is the nearest to r in 0.4, 2\/9, 2\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eehl when four letters picked without replacement from {i: 1, m: 4, n: 8, h: 3, l: 2, e: 2}.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**13*w))**(-32)*w**(23\/4)*w*w*w**(-7) assuming w is positive.\nAnswer: w**(1667\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 1:26 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -61939*w**2. Let u(l) = l**2. Calculate u(v(q)).\nAnswer: 3836439721*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -1 - 6*k + 0 + 0 - 2 - 3*k**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 128801904?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -202013 (base 5) in base 8?\nAnswer: -14554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**3 + 6*q**2 + 4 + 69*q - 124*q + 75*q. Let i(x) = -3 - 7*x**2 - 2*x**3 - 19*x + 3*x**3 + 0*x**3 - 2. Let c(d) = 4*i(d) + 3*n(d). Factor c(p).\nAnswer: -2*(p + 1)*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 171\/11 or 16?\nAnswer: 171\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*h + 0*h - 12 = 0, 0 = 3*x + 2*h - 7. Suppose 3*y - 12 = 0, 4*y - 23 = t - 7. Suppose 5*j - 22 = q, -q = -t - x. Solve -j*z = -0*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/1188 and -77\/108.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 515907 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 6. Let g = 16 - 16. Suppose g = -4*x + 19 + 21. Calculate the remainder when x is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnyw when four letters picked without replacement from {t: 3, w: 1, y: 5, n: 2, b: 8}.\nAnswer: 5\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d**3 + d**2. Let l be (5 - 1 - 5)*15. Let z = l + 14. Determine x(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 5 - (5 - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 2*n - 8. Let f be x(-2). Solve -4 = -4*l - f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 16865, 26931, 36997, 47063, 57129, 67195?\n\"Answer: 10066*f + 6799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 210220 (base 4) in base 13?\nAnswer: 10b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f + 5*f = 10. Which is the second smallest value? (a) -4 (b) f (c) 1\/5 (d) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -31*v**2 + 211*v + 3. Calculate d(7).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 16, 45, 86, 139, 204?\nAnswer: 281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3043 - 725 = -12*v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 1\/1 - 0. Suppose 4*j - 3*i + 98 - 124 = 0, -2*i - 4 = 0. Solve -3 = s*a + r + 3, 0 = 5*a - j*r + 45 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y - 5*d - 47, -2*y = 4*d - 24. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2438 - 4059.\nAnswer: -6497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6314812?\nAnswer: 2, 7, 225529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -95 - -130. Suppose -5*p = 5*z - a, 5*p - p = -z + 16. Solve z*t - y - 3 = 0, -2*t - 5*y + 6 = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -64 + (-279 + 153 - -274).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 12:41 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -263 - -257. What is the nearest to 2 in r, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3640 and 338?\nAnswer: 47320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 17 = -5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 168631961?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22333 and 92989?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 + -21. Let n = 62 - 20. Calculate the greatest common divisor of b and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 308\/198*9\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from eteetaaa?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16256.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13707, 109674, 370147, 877380, 1713627, 2961142, 4702179?\n\"Answer: 13709*z**3 - z**2 + 7*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d + 2. Suppose -5*l = -l + 16. Let o(k) be the third derivative of k**4\/8 - k**3\/3 - 382*k**2 + 6*k + 4. What is l*o(f) - 5*h(f)?\nAnswer: 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 c when two letters picked without replacement from {t: 2, y: 5, c: 7}.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 - ((20 - 36) + -10)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 12:04 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 2*t**2 + 6*t**4)*((4 - 1 - 5)*(2*t - 2*t - 2*t) + t + 2*t + 0*t) + (2*t**2 + 1 - 1)*(-26*t**3 + 33*t**3 + 29*t**3) + 8*t**5 - 13*t + 13*t.\nAnswer: 122*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 9*u**2 - 5*u - 5. Suppose 2*w = 6*w - 12. Let d = w - 5. Let g be ((-15)\/6 + 0)*d. Let l(f) = 5*f**2 - 3*f - 3. Determine g*l(h) - 3*b(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**2*i**3 + 16*h**2*i**2 + h**2*i + 2*h*i**3 - 14*i wrt i?\nAnswer: 6*h**2*i + 32*h**2 + 12*h*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 535750514*r*x + 46*r + 3153236 wrt x.\nAnswer: 535750514*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 720 and 54.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = t - 5, 4*t = 2*c + 12. Let k(i) = 6*i**2 - 9*i**2 - 3*i**2 + 0*i**c. Let b(z) be the first derivative of 2*z**2 + 9. Give k(b(d)).\nAnswer: -96*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 10*q - 9 - q**2 + q**2 + 2*q**2. Let o be l(5). What are the prime factors of (-4)\/16 - 4\/o*-341?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from wwjwjjjwjjww.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, -2\/5 in decreasing order.\nAnswer: 6, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaxax. Give prob of picking 2 x and 2 a.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 5*z. Solve 0 = 4*p - z*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k*s*y**2 - 4*k*s*y - 3*k*s + 58*k*y**3 + 159*k*y + 85*s*y**3 + 2*s*y wrt y.\nAnswer: 4*k*s + 348*k*y + 510*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94 + 44*a**3 - 16*a**3 - 29*a**3 + 257*a.\nAnswer: -a**3 + 257*a + 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 180*h = -184*h - 1, 23 = -3*q - h for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 + 0 + 0)*(0 + 6 - 4)*(-2*i + 0*i + 0*i) - 2*i**3 + 41*i**4 - 40*i**4 + 3*i + 0*i.\nAnswer: 5*i**4 - 2*i**3 + 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 182722347 a multiple of 509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 20*n - 21. Let g be a(4). Suppose -73 = -5*j + s + s, 0 = -3*j + 5*s + g. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(((l\/(l\/(l*l*l**(-1\/2)\/l)))\/l)\/l))**26*l**6\/l**18 assuming l is positive.\nAnswer: l**79","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2804 (base 9) in base 2?\nAnswer: -100000111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tvjd when four letters picked without replacement from {c: 1, t: 2, v: 1, j: 1, d: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*t**3 + 4*t**2 + 9*t**2 + 3*t**3 - 3*t**2 wrt t.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 31 = -u. Suppose 5*s = -20, 472 = 3*o + o + 5*s. Calculate the remainder when o is divided by u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-4))\/(50\/(-5200)*-26).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 127 + 13. Let b = k + -13. Let x = -55 + b. Solve -x*v - 3*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - w**2 + w + 3. Let f be s(-2). What is the highest common divisor of 20 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g**2 + 16*g - 14. Let x(m) = 6*m**2 - 18*m + 15. Let p(w) = -5*a(w) - 4*x(w). Let i(j) = -j**3 + 5*j**2 - 2*j. Let n be i(2). Determine p(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1140973120 to the nearest integer?\nAnswer: 33778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6467.886 millilitres in litres?\nAnswer: 6.467886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.812 - 1.812. Sort f, -5.1, 1\/3.\nAnswer: -5.1, 1\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 53188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3 = 3*r, 0 = -2*w + w - 4*r - 5. Sort w, -3, 120 in descending order.\nAnswer: 120, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a century?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q + 4. Let v(i) = -20*i - 15. What is 25*c(t) + 6*v(t)?\nAnswer: 5*t + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n + 6. Let c(z) = -5*z + 14. Let a be c(4). Let y be q(a). Is (-755)\/(-10)*(y - -2) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 5*f = -2*m - 37, 2*f + 10 = 0. Solve -u - m*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -184\/9 - -1355\/72. Let c(p) = -2*p**3 + 2*p**2 + 6*p - 18. Let j be c(2). Calculate the common denominator of 6\/j + 5677\/(-588) and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 11*q**2 + 59*q. Let n(t) = 2*t**2. Calculate 6*n(x) - s(x).\nAnswer: x**2 - 59*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 1002 = 2*v, -3*r - 2*v + 6*v = -1538. Is 69 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -14 and -6427265228.\nAnswer: -6427265242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 837937 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: Let m(w) be the third derivative of -w**6\/120 + 2*w**5\/15 - 7*w**4\/24 - w**3\/6 + 14*w**2. What is m(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 0 - ((11 - (14 - -6)) + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 10:02 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -81152386, -162304772, -243457158, -324609544, -405761930, -486914316?\n\"Answer: -81152386*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 29. Let o be (1\/6)\/(3\/q). Factor 0 + 2\/9*y**3 - o*y**2 + 2\/9*y**4 - 2\/9*y.\nAnswer: 2*y*(y - 1)*(y + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 37*r**2 + r + 237. Is m(28) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -29, -58, -103, -158, -217, -274, -323, -358?\n\"Answer: d**3 - 14*d**2 + 6*d - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/33 + 698\/(-3960). Let f(p) be the third derivative of 0*p + 0 + t*p**5 + 1\/18*p**4 + 2\/9*p**3 + p**2. Factor f(d).\nAnswer: (d + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 464*o - 108441102 = 2*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 6:59 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 4, -3, -26 in increasing order.\nAnswer: -26, -3, -4\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(7\/3))\/((-300)\/(-40)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 847*j - 850*j - 12 = 0, -43 = -p + 11*j for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-1))**50)**(3\/7) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 723561 - -10?\nAnswer: 723571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j + 4. Let s be n(3). Let l(r) = 2*r**3 + 4*r**2 + 4*r + 5. Let u be l(-2). Sort u, 0, s in decreasing order.\nAnswer: s, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379984145?\nAnswer: 5, 7699, 9871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1990 and -5.8.\nAnswer: 11542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 143 = 5*g - 148, 5*g - 4*y - 5 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.447 in -7, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2424723?\nAnswer: 3, 7, 19, 59, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 23 = -4*f - 3, 3*c + 17 = 5*f. Solve x + 9 = f*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -5*v**2 - 1001570*v - 28040040 = 0.\nAnswer: -200286, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 557, 362, 167, -34, -247, -478?\nAnswer: -733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 1110101100010?\nAnswer: 1110101011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/5*(-8 + 3). What is the third derivative of 9*x**2 - 7*x**3 + 2*x**2 - 6*x**r wrt x?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 34*l - 77. Determine m(36).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 747, 0, -6, 2 in descending order.\nAnswer: 747, 2, 0, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16481, 32991, 49501, 66011?\n\"Answer: 16510*b - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 + 37. Let h = 0 + 0. What is the nearest to r in h, 0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 898 is divided by 299.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/2947 + -38385\/109039. Let q = 2335\/222 + f. Find the common denominator of -29\/41 and q.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d\/d**(-2\/17))\/(d*d**(-4\/7)*d))\/(d**(-15\/4)*d**11) assuming d is positive.\nAnswer: d**(-2647\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 + -56.5. Let o = -0.1 + 0.3. Let v = 0.3 - o. Sort v, l, 3 in decreasing order.\nAnswer: 3, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18)\/4)\/((-69)\/(-46)))\/(3\/(-17)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrfr. What is prob of sequence rrr?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7103.\nAnswer: 7103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(2*o - 4 + 3 - 3)*(-93 + 93 - 12*o).\nAnswer: 48*o**2 - 96*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*1\/15*39. Solve 5*j + 3 = v for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyw when three letters picked without replacement from {w: 3, z: 2, u: 4, y: 2, v: 7}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 41*y + 323. Determine k(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/132*(-13)\/((-13)\/(-4))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717585 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/7 - (-69)\/21. Which is the second smallest value? (a) i (b) 4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1750, 1216, -224, -3026, -7646, -14540, -24164, -36974?\nAnswer: -53426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4056659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 175*f - 8943. Determine h(73).\nAnswer: -1497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1012928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/7 (b) -0.01 (c) 5 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - g + 10. Let k be z(0). Suppose 0 = 3*l - 5*l - k. Which is the nearest to 1\/5? (a) 0.3 (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 11, -148 in descending order.\nAnswer: 11, 2, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -18.8. Let j = 1.531 - 1.231. Let r = 0.3 - -0.7. Which is the closest to s? (a) r (b) j (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*v + 8537 - v**3 - v**4 - 8564 + 0*v**2 - 2*v**2 to f + a*v + k*v**2 + s*v**4 + d*v**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z - 3. Let w(n) = n**2 - 6*n. Let m be w(7). Let j be p(m). Suppose -4*o - j = -2*o. What is the biggest value in o, 4\/3, 0?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 - 56. Are 4 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 0.1, -2, -1\/3, 2\/7 in decreasing order.\nAnswer: 2\/7, 0.1, -1\/3, -2, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -320*a**3*g - 685*a**3 - 2*a*g**4 wrt g?\nAnswer: -320*a**3 - 8*a*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.002, -6, 0.5, -4, -73.\nAnswer: -73, -6, -4, 0.002, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -784044 - 3?\nAnswer: -784047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -491*x + 492*x - 11 + 11. Let s(l) = 97*l - l**2 - 97*l. Determine i(s(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-116)\/(-6)*(-162)\/(-36)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12132 - -1?\nAnswer: -12131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-1 - (15 - 7 - 7))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -621869*d**2*u + 882*d**2 + 3446*d*u + 47615*u wrt d.\nAnswer: -1243738*u + 1764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of u**4\/4 + u**2. Let d(w) be the second derivative of -3*w**4\/4 - 2382*w. Calculate d(f(v)).\nAnswer: -324*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -327, -981, -1973, -3309, -4995, -7037, -9441?\nAnswer: -12213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + f + 3*f + 6, -4*i + 9 = -5*f. Let n = -357 + 352. Which is the third smallest value? (a) n (b) 0.4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/5, 1\/4, -0.25 in ascending order.\nAnswer: -5, -0.25, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 344, -14, 21, 3, -3, -2\/3 in ascending order.\nAnswer: -14, -3, -2\/3, 3, 21, 344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6385 is divided by 2123.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340 = -5*n - 5*c, 4*n - n - 204 = -c. Calculate the greatest common factor of 187 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**3 + 420*p**2 + 1905*p - 5530 = 0.\nAnswer: -79, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 126 + -11?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 1, -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/9)*k\/k**2*k**(-3\/4)\/(k\/k**(-2\/7)))**(-46))**(2\/39) assuming k is positive.\nAnswer: k**(1403\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/l**(-12)))\/l)\/l**(-14\/3))\/(l**(2\/3)*l**(-19)) assuming l is positive.\nAnswer: l**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -8, -8.3, -4, -2, -17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/96 and -53\/104.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.133 + -79.133. Let g = 79.118 + v. Round g to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 4. What is the remainder when 8 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + d**2 + d. Let q(i) = -2*i + 2*i**3 + i + i**2 - 4*i**2. Let b(o) = -7*c(o) - 3*q(o). Suppose 3*v + 12 = -v. Determine b(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.446299 and -17?\nAnswer: -24.587083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 2*p - 2. Let h(x) = -3*x**3 - 551*x**2 + 10*x + 10. Calculate -h(l) - 5*o(l).\nAnswer: -2*l**3 + 551*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 56113673587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (26\/16)\/(30\/240). Solve 6*n - z*n = 21 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5439681.000023 - 5439689. Let m = p - -8. Round m to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, y: 3}. What is prob of sequence lyyy?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-8) + (-7)\/(-2). Suppose -5*o + 15 = 5*b, -7 = -i*o - 5*b + 8. Suppose 0 = -3*m + 2*a + 3*a + 330, -5*a = o. Does 11 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((1 - -28236) + (-2)\/(-1))*42\/126 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4*z = 36, -5*c + 45 = 4*z - 0*z. Suppose c = -4*b + 5*b. Let f = b - 4. Solve -19 = 3*k + 5*q, 9 = -f*q - 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 11*w - 54. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 5*q + 3*q = q - 1, -17454*q = -17456*q + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 634106639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -10*x + 1552. Suppose -2*p - 3*y - 2*y + x = 0, -y - 388 = -4*p. What is the remainder when p is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-3 - -5) + 11 + 1.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 84551061 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 56, 54, 52, 50, 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 501609252?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8024348 divided by -4\nAnswer: -2006087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 11845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 113525 + -35124. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 823.9979 rounded to the nearest integer?\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*d + m + 17, -4*d = -5*m - 25. Suppose -6528000 = -4*c + d*c. Round c to the nearest ten thousand.\nAnswer: -1090000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*w**2 + 11*w**2 + 10*w**2 + 27*w**2.\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.5 + 0.5. Let v = 2 + s. Let g = -192 + 194. Which is smaller: g or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/9))**(-38)*(k\/(k*k\/(k*k**(-2\/15))))\/k*k**(-6) assuming k is positive.\nAnswer: k**(-2411\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 82*h**3 + 2*h**2 - h + 2. Let b be k(2). Suppose 0*o = 2*o - b. Round o to the nearest 10.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 6) to base 8\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 94163.5mg?\nAnswer: 0.0000941635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a0a2 - -1?\nAnswer: 2a0a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 39, -1381, -0.002, 4\/7?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 10. Suppose -4*t + 5*d + 99 = 0, -y*t + 4*t - 36 = -2*d. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79 + 79. Solve -5*j = -l*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**6\/45 + g**3\/6 + 3*g**2. Let f(j) be the first derivative of w(j). Let z(a) = -a**2. Calculate f(z(k)).\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 0 + -43 + -13 + 43?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1609, -0.5, 214, 0.4, -1.3 in descending order.\nAnswer: 1609, 214, 0.4, -0.5, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-25 - 12\/(-4))\/(-2). Let i = 19 - d. Let m = i - 3. Solve -4*s + 5*g + 11 + 20 = 0, -m*g = -3*s + 27 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9606 + 9*z - 9606.\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + -1471)\/(31\/(-31)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -11. Let p be g + -1 - (-17 + -5). Let f = -17 + p. What is the remainder when f is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 13. Suppose -28 = -j*u + 314. Suppose 2*f - u = -f. Calculate the remainder when f is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.13, -18, -3?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -110220022020122 (base 3) to base 16\nAnswer: -689c0f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2001707466910 + -17\nAnswer: -2001707466927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 - 13361b3?\nAnswer: -1336206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 8. Let d be (137 + i\/3)*-40. What is d rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-6)*(3 + -6). Let l(q) = o*q**2 + q - q. Let x(r) = 6*r**2 + 2*r + 2. Let a(m) = m + 1. Let g(t) = 2*a(t) - x(t). Give l(g(k)).\nAnswer: 72*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6001 - -6080. Let i(a) = a**2 + 3*a + 6. What is the remainder when j is divided by i(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -208.289 to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = -8*k. Suppose k = -x - x + 14. Find the second derivative of -14*p**2 + x*p - 4*p**2 + 31*p**2 wrt p.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/4*-2*3\/18?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 37 = -5*z, 4*x - 3*z - 8 = -35. Let l be ((-40)\/x)\/(-4)*-3. Let b = -7 + 12. Calculate the highest common divisor of b and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from grrgwrwgngggbrrni. What is prob of picking 1 w and 3 g?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 34734, 69544, 104354, 139164, 173974, 208784?\n\"Answer: 34810*a - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 t when three letters picked without replacement from rvrfeftftvvvffrrrv?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21*c*n**2 + c*n - 384*n**2 - n wrt c?\nAnswer: 21*n**2 + n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 - 52 + 5708*h + 154 - 53.\nAnswer: 5708*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**2 + 374768*d + 8778190864 = 0.\nAnswer: -46846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -15 (b) 62 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1733, 3, -2, 5, 1, -1 in decreasing order.\nAnswer: 1733, 5, 3, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 434 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 72 = -63 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 67d + -10?\nAnswer: 66d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 2*a - a - 431, -211 = -2*q - 5*a. What is the highest common factor of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4*(2 + -2*sqrt(2736) + 0 - -4*(2*1*sqrt(2736) + sqrt(2736))))**2.\nAnswer: 7680*sqrt(19) + 4377664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12112 - 21637 = -813*m + 2836 for m.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/12? (a) 0.4 (b) -3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10949671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 55 = -6*b - 5*p, 13 = b - p. Solve 0 = -2*h + 6*h + b for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12526 (base 7) to base 9\nAnswer: 4534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**4\/k))\/((k\/(k\/(k*k**(-2\/17)))*k)\/k)*k*(k*k*k\/(k\/k**(-1\/3)))\/k*k*k*k*k**(2\/7))\/(k\/k**(-3\/7)*k\/(k\/k**(-2)))**(-34) assuming k is positive.\nAnswer: k**(-6197\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/10, 6\/127, -1\/3 in ascending order.\nAnswer: -1\/3, -3\/10, 6\/127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*m + 793 - 4735 = 0, r + 4*m = 3944. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 2, 3, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25128 is divided by 5012?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(147)*-1 + (sqrt(1500) + sqrt(1500)*-3 + sqrt(15) + sqrt(15) - sqrt(15) - sqrt(15))\/sqrt(5) + -4)**2.\nAnswer: 104*sqrt(3) + 523","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -47068 * 9\nAnswer: -423612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, y: 2, q: 4, c: 3, k: 7}. Give prob of picking 1 k and 1 s.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.08 + -0.18. Let x = c + 0.86. Let y = 0.2 - x. Round y to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1507 - -1527. What is the greatest common divisor of c and 1910?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6*n + 6. Let k be v(1). List the prime factors of -9 + 9 + k + 189.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f**3\/5 + 4709066*f**2\/5 - 923971726192*f\/5 + 307990052168\/5 = 0 for f.\nAnswer: 1\/3, 392422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -d**4\/4 + 4*d**3 + 5*d**2 - 415. Determine f(13).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 933 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**5 - 38886*l**4 - 155466*l**3 + 388824*l**2 + 1088517*l + 583110 = 0?\nAnswer: -12958, -5, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 939900983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 185755099 and 28778959?\nAnswer: 2043306089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/285 and -149\/240?\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1210*w**3\/3 + 577082*w**2\/3 - 209872*w\/15 + 1272\/5 = 0.\nAnswer: -477, 2\/55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370267 is divided by 391?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-96) + (-9)\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15 + -16 - (-3 + 3)) + -8. Let v(o) = -3*o**3 - 28*o**2 - 2*o + 57. Determine v(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 12*y. Let u be 4 - (-1 - (-11 + -4)). Let b be (-2 + u + 8)*(-1)\/4. Calculate c(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 3*y**4\/8 + y**3\/2 + 2596*y**2 + 1. Give q(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 1:40 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 31*r - 216. Let k be z(20). Find the common denominator of 2\/4 + 149\/(-66) and k + 4 + 55\/132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -281, -1051, -2341, -4151?\nAnswer: -6481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*20.93347.\nAnswer: 2.093347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2504, 5047, 7578, 10091, 12580, 15039, 17462?\n\"Answer: -o**3 + 2550*o - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 6401749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.3, 4, 1, -12?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c**5\/8 + 51*c**4\/8 + 45*c**3\/4 + 27*c**2\/4 - 3*c\/8 - 9\/8 = 0. Calculate c.\nAnswer: -3, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + -1 - -1) + 1. Suppose 29 = 3*a + 5*w, q*a = 3*a - 2*w - 64. Suppose 16*r + 202 = a*r. What are the prime factors of r?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3046 + 20?\nAnswer: -3026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, i: 3, e: 4, t: 7, o: 3}. What is prob of picking 1 q and 1 t?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3\/2 + 45*v**2\/2 - 3*v\/2 - 45\/2.\nAnswer: 3*(v - 1)*(v + 1)*(v + 15)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 102194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 192 = -0*h. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/((3\/9)\/((-13)\/39)). Suppose 4*p - 3*c = s*p - 94674, 0 = 5*p + 2*c + 236704. Round p to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185386*x = -185921*x - 49220 for x.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76576759.\nAnswer: 7, 599, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 4395.095 - 4325. Let z = h + -0.695. Round z to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 691, 2379, 5667, 11089, 19179, 30471?\nAnswer: 45499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 5. Let j = 9 - v. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 412, 823, 1234?\nAnswer: 1645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/3596 and 73\/44950.\nAnswer: 89900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 63, -2\/9, 0.3, -11\/324 in descending order.\nAnswer: 63, 0.3, -11\/324, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10575803471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*g = -69085 + 71725 for g.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 94029728 divided by -296?\nAnswer: -317668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 39.48867 weeks?\nAnswer: 6634.09656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-89)\/(-267))\/((-4)\/(24\/(-1))). Solve 0 = 3*v - t*p - 1, 0 = -2*v - 9*p + 10*p - 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 57990004 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 15*y + 31. Let x = 3578 - 3573. Calculate f(x).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 1)*2 - 1. Suppose 5*x = 5*q + 15, -3*q - 51*x + 11 = -49*x. Calculate the highest common divisor of r and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*l - 2543 - 2220 = -3779 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, 1605 in ascending order.\nAnswer: -6, -4, 1605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1*(-312)\/65)\/(3\/(-10)). Let p(w) = 13*w + 202. Determine p(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 469 (base 15) to base 7\nAnswer: 2625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5678 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(20) - (sqrt(320) - sqrt(20)))*-5)\/(sqrt(160)*-2*4).\nAnswer: -15*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2621 - -0.3221. Sort 4, 70, -0.3, j, 1\/2 in decreasing order.\nAnswer: 70, 4, 1\/2, j, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362*q - 588 = 393*q - 185 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6089 - 3656. What are the prime factors of g?\nAnswer: 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -73*k + 219. Let m be q(3). Solve 9*b = -m - 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -84.94 - -85. Let f = t - 0.06. Put -37, 0.5, 4, f in ascending order.\nAnswer: -37, f, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -5. Suppose v*b - 5 = 5. Solve -o = -2*l + 4 + 3, 0 = b*o + 5*l + 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2983, -2997, -3013, -3031, -3051, -3073, -3097?\n\"Answer: -t**2 - 11*t - 2971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - -1 - (-404 - -417).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 8881, -1, 13 in decreasing order.\nAnswer: 8881, 13, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 + 216. Is 30 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**8\/112 - l**7\/35 + l**5\/10 - l**4\/8 - 39*l**2. Factor m(x).\nAnswer: 3*x*(x - 1)**3*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2)*r)\/(r**(2\/3)*r)*r**(2\/19)*r**(-4\/5))\/((r*r\/(r*r**(1\/8))*r*r\/((((r*r**(-3)\/r)\/r)\/r)\/r))\/(r**(2\/3)\/(r\/r**(-4)))) assuming r is positive.\nAnswer: r**(-12593\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 21. Let d = 561 + -558. Determine q so that 5*q - 2*q - 24*q**2 + 9*q**2 + 3 + a*q**d = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + d - 1. Let t(o) = 2*o**2 - 3*o + 28. Calculate -3*i(a) - t(a).\nAnswer: a**2 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.916538 to 2 dps.\nAnswer: -2.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 - 3)*(3*r**2 + 2*r**3 - 3*r**2) + (-16*r**2 - 3*r**2 + 8*r**2)*(-4*r + 0*r + 2*r))*(5 - 7 + 9) + r**3 + 2*r**3 - 6*r**3.\nAnswer: 123*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**2 - 372*z - 1167. What is b(96)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1990137 is divided by 42?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 464071 - 85*z**2 - 232045 + 117*z**2 - 232026.\nAnswer: 32*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -1111002?\nAnswer: -1111012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -321232220 (base 4) in base 13?\nAnswer: -8381c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 18 = 4*p, 4*p - 10*h + 15*h = -15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2091, 4175, 6247, 8307, 10355, 12391?\nAnswer: 14415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*b + 36*b + 49 = 57. Solve -b*s = -0*u - 2*u + 10, 5*s + 18 = -3*u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 1 + 8 + h + 7. Let k be y(-8). Let l(p) = -p**3 + 13*p**2 + 15*p - 7. Let x be l(14). Solve 3*f = -k - x for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1560 minus -6921?\nAnswer: 8481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*y + 19*f = -160*y - 44, 5*y + 4*f - 2 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = -2*n + 48, 2*f - 2*n = -n. Let l(o) = o - 2. Let m be l(2). Solve f*b - 9*b - 15 = m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, n: 6, s: 2}. What is prob of picking 2 s?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3211 (base 7) to base 13\nAnswer: -694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13\/8, -0.5, -8, 485?\nAnswer: 485","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-11) - 375\/(-55). Let r = u - -3. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25335 in -4, 0.3, -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*d**4\/3 + 73650*d**3 - 248490*d**2 + 250700*d\/3 - 6512 = 0. Calculate d.\nAnswer: -1628, 2\/17, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6 + 0.3. Let a = 23 + -15.7. Let i = a + -7.7. Sort r, -2\/25, i in decreasing order.\nAnswer: -2\/25, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**3 - 1321*s**2 + 1853*s + 81673. Calculate l(659).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 66*a**2 + 214*a + 56. Give i(-3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-5 - 48\/(-9)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1640 and 23723092?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 15*d - 6. Let g(t) be the third derivative of -7*t**4\/12 - t**3 - 11*t**2. Let v(r) = 4*a(r) - 5*g(r). Does 14 divide v(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5004*v**2 + 6214 + 6223 - 12435.\nAnswer: 5004*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -4, 2\/9, -0.2, 0.06, 7997?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 7*k**2 - 2*k - 8. Let p be v(-2). Calculate the highest common factor of 360 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/3, 3, 2.24, -0.1?\nAnswer: 2.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 54, -1, 26, 5 in descending order.\nAnswer: 54, 26, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*s + 10 = -0*l, 5*s = -3*l - 4. Let z(k) = 9*k + 2. Let w be z(l). Suppose w + 20 = b. What is the greatest common factor of b and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d**4\/4 - d**3\/3 + d**2\/2 - d - 2. Let i be h(2). Let k be (1\/i)\/((-4)\/5). What is the nearest to 1 in k, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 5) to base 15.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 409223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*s + 167002 = -21*s - 29378. What is the ten thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*v**2 + v - 4*v + 130*v**2 + 181*v**3.\nAnswer: 181*v**3 - 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -113.16 - -115. Let c = m + -1.3. Let l = c - 1.84. What is l rounded to 0 dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -646 = -270*m + 856 - 5822 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (269*q - 171*q - 145*q - 5)*(-2*q**3 + 2*q - 2*q) + (-2*q**3 + 2 - 2)*(-q - 2 + 2).\nAnswer: 96*q**4 + 10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 246299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l - 96 + 68. Suppose 9*c - 5*c - l = -r, -r = -5*c - 4. Solve -4*p = -2*m + 16 + 10, r*m + 13 = -5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*(6\/8 - (-6)\/(-24)). Let l(c) = -c**2 + 2*c + 6. What is l(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -n**7\/84 + n**6\/60 - 2*n + 1. Let z(u) be the first derivative of t(u). Factor z(h).\nAnswer: -h**4*(h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 36 - -9342512?\nAnswer: 9342548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011000010 (base 2) to base 13.\nAnswer: -424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -2\/5, 6762, 661?\nAnswer: 661","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -399 + 399. Let z = -2 - -2. Factor z*d + 3\/2*d**2 + r + 3\/2*d**3.\nAnswer: 3*d**2*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a micrometer in nanometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -7*x. Let c be l(-2). Let y(t) = t + 63 - 2*t - c. Is 4 a factor of y(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70824 divided by 5902?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m - 12. Let t(f) = f. Let o(n) = -3*t(n) + w(n). Let j be o(-6). Let k be (-1)\/((-15)\/j)*-10. Calculate the highest common factor of k and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m**2 + 56*m - 35. Is n(-26) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 2*t**3\/3 - t**2 + 4*t - 1. Let h(x) = x**2 - 2*x + 3. Let s = -24142 + 24145. What is s*w(a) - 4*h(a)?\nAnswer: 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8242253?\nAnswer: 109, 75617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w + 29. Let z be q(0). Suppose -3018 = -7*n - z. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 4*g = 2*y, -6 = y + 4*g. Suppose n - 1 = 2*n - f, 6 = 2*f. Calculate the smallest common multiple of n and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 7) + -9 + -10 + 23 - 7\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -184\/3 - -63. Let m = -6 + 6. Sort m, r, 0.3, 1 in decreasing order.\nAnswer: r, 1, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + sqrt(108))**2 - (2 + sqrt(3) + 0 + -1).\nAnswer: 35*sqrt(3) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -5*i + 2*b + 10, -4*i - 23 = 3*b. Let t = i + -1. What is the units digit of 0 + t - (-6 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 307475\/11658 - 1749\/67. Calculate the common denominator of 65\/174 and z.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 0, -19 in descending order.\nAnswer: 0, -19, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 + 43325*b**2 + 469285568*b + 469242244.\nAnswer: (b + 1)*(b + 21662)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 823405.4 hours to microseconds.\nAnswer: 2964259440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13183.3 millennia in centuries?\nAnswer: 131833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/5205224 or -137\/3?\nAnswer: 1\/5205224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8273 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 + 53. Calculate the smallest common multiple of x and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 3:05 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/50735 and -6?\nAnswer: 50735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 240.4672 millennia to decades.\nAnswer: 24046.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165099572 divided by 3752263.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, y: 2, e: 1}. Give prob of sequence yf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1159 or -1161?\nAnswer: -1159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 0.072, -631?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 55*q - 33*q + 96*q + 79*q - 34*q. Let t(w) = 16*w**2. Give t(s(r)).\nAnswer: 425104*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*sqrt(11) + sqrt(11))*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -18 + 0*c + 1\/2*c**2. Let t(v) = 6*v + 2*v + 10*v. Give t(f(q)).\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -14*x**2 - 1 + 4 + 15*x**2 - 1 - 6*x. Let f be -4*(-1 + (-9)\/12). What are the prime factors of r(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + 59209 = 59107 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**8\/24 + z**4\/8 - 9*z**2. Find the second derivative of v(x) wrt x.\nAnswer: 280*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.5 less than -194325728?\nAnswer: -194325714.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -336?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4495.497 micrometers to centimeters.\nAnswer: 0.4495497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, -2, 28, 1, -279 in ascending order.\nAnswer: -279, -2, 1, 2, 6, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.25 - -0.25. Let n be (-5 - 1474\/(-297))\/((-1)\/3). What is the closest to 4 in n, v, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**7\/k**(-29)*k**(-5\/8)\/((k*k**(12\/5))\/k) assuming k is positive.\nAnswer: k**(1319\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/5 - 3134*l**2\/5 + 103642*l - 20407618\/5.\nAnswer: -2*(l - 77)**2*(l + 1721)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d**2 + 6*d + 9. Let c(u) = -3*u**2 - 5*u - 8. Let t(o) = 6*c(o) + 5*v(o). Let r(m) = -2*m + 1. Let l be r(-1). What are the prime factors of t(l)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 9:29 PM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 75 = -4*z + 18, 0 = 4*b - 4*z - 84 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/60 and 11\/117745?\nAnswer: 1412940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -8. Let g(n) = -n**a - 4*n**2 + 3*n**2 + 3*n**2. Let v(i) = 0*i - i - i. Determine g(v(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-176)\/(-10)*46100\/(-50710)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 14*q**3 + 10 - 4*q + 9*q - 3*q - 38*q**2 to b*q**2 + l + f*q + u*q**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107643 is divided by 462?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1155 - -1154.9429. Let w = -0.03946 - y. What is w rounded to three dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.4131266 and 1.\nAnswer: 7.4131266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3185 divided by 245.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-two fifths of a meter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 23 = -3, -2*r = d - 882. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**3 + 2*m**3 + 4*m**2 + 2*m**3 + (-6*m**2 + 0*m**2 + 0*m**2)*(-2*m + 3 - 3) in the form o*m**3 + v*m**2 + p + b*m and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/8 (b) 0.3 (c) -0.4 (d) 3 (e) -82.176\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 7*j + 165. What is a(-19)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 207 - 39. What is the highest common factor of f and 399?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2001.6 - -2002. Let v = 5.5 + 17.5. Let z = v + -10. What is the closest to 1 in z, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) 0.3 (c) -4 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-8)\/24*(3366\/66)\/(-561).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 30 - (165 - 151).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 4*a - 275 - 510, -4*s = 3*a - 629. Does 23 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*y + 3*y**3 - 2*y**2 + 7*y - y**3.\nAnswer: 2*y**3 - 2*y**2 + 142*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00246379145 to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 - -42. Suppose -4*v + 4*q = -v + 63, 119 = -5*v + a*q. What is v rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5015, -5041, -5069, -5099, -5131, -5165?\n\"Answer: -h**2 - 23*h - 4991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4616 = -4*l - 2*r, 3*r + 398 - 1542 = -l. Does 68 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-2.97\nAnswer: 1.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 10*u**2 + 2*u - 11. Let g be v(11). Suppose 3*z - g = -33. What is the units digit of (1\/3)\/(1\/z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 864 a factor of 883351872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20369604 a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9.4 and 4.1?\nAnswer: 13.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -1\/403666 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -3\/2, -1\/6, 26, 1\/51, -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02211 minus -1609.5539?\nAnswer: 1609.57601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**2. Let z(d) be the first derivative of -d**4\/6 - 4*d + 7. Let p(a) be the first derivative of z(a). Give p(j(n)).\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**5 - 2 + 2 + 0*p**3 + 0*p**3 - p**5 + (3*p**4 + 2*p - 2*p)*(2 - 2 - 2*p) + (4*p**3 - p**3 - p**3)*(-p**2 + p**2 - 6*p**2).\nAnswer: -18*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 2*r - 5 = -10, 4*l = 2*r + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118099221, 236198441, 354297663, 472396887, 590496113, 708595341, 826694571?\nAnswer: 944793803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 22*n**2 - 60*n - 4. Calculate the remainder when 364 is divided by d(-19).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 13464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-11)\/(-3))\/(4\/42) and -121\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51*j**3*z**4 - 7*j**3*z - 35*j*z**5 + 88*z**2 wrt z?\nAnswer: 1224*j**3*z - 2100*j*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 9. Suppose -32 = -2*m - v*m. Let p be (-1)\/(((-2)\/(-1))\/(-6)). Solve 4*t = 2*u + 14, -u - m = 3*u - p*t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3131424919.\nAnswer: 7, 1481, 43151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -168 + 167. Let x = 1.5 + 10.5. Let m = 15 - x. Which is the nearest to l? (a) 0.2 (b) -0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -315, -59?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -111*g - 24*g**2 - 26 + 159*g - 6 + 4*g**3.\nAnswer: 4*(g - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73970, -147804, -221638?\nAnswer: -295472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 2. Let o = 575105 + -575101. Put -8, o, -5, w in decreasing order.\nAnswer: o, w, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000024432562 rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p**2 + 1. Let i(d) = -1 - 18*d**2 + 13*d**2 + 0 + 2. Give 4*i(a) - 3*z(a).\nAnswer: -5*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 61, -9 in descending order.\nAnswer: 61, 37, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -111893099 divided by -337?\nAnswer: 332027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3)\/(b*b**3\/b))\/(b**(2\/9)\/((b**(2\/3)\/b)\/b))*(b**(-1)\/b)**(3\/8)*b**(-3\/5)*b*b**(-1\/4)*b assuming b is positive.\nAnswer: b**(-322\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 3:53 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/40)\/((-3)\/3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 63\/(-6)*12\/(-7). Suppose -3*i = -83 + 2. Calculate the highest common factor of i and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from flfvaa. Give prob of picking 1 l, 1 f, and 2 a.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3095429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(475))*2)**2 - (sqrt(475)*-2 + 4 + sqrt(475))**2) + -4*(4 + sqrt(475) + (sqrt(475)*-1)**2) + 0 + -3.\nAnswer: -510 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 431*t - 64 = -427*t, -120 = -5*x - 3*t for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1370311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 3*c**2 + 7*c + 5. Let r(q) = -q**2 + 3*q + 2. Let x = -62 + 64. What is x*p(a) - 5*r(a)?\nAnswer: -2*a**3 - a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0\/q**(3\/2))\/(q\/(q*q**(-3)\/q)*((((q*(q**(-4)*q)\/q*q)\/q)\/q)\/q)\/q*q) assuming q is positive.\nAnswer: 1\/sqrt(q)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/125 and -59\/200.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 - 4*j - 326. Calculate p(14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -57b3 - -4b7?\nAnswer: -52fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 4, 20*f - 67 = 18*f - 3*z. What is the highest common divisor of 805 and f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14419*t**3 + 2*t**2 + 3*t - 65931.\nAnswer: -43257*t**2 + 4*t + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75231*h - 75244*h + 6422 = 0. Put h, -2, -3 in increasing order.\nAnswer: -3, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -317\/250 or -1?\nAnswer: -317\/250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k**2*p + 3*k**2*q - 244*k*p - 15*k - 15*p*q + 9*p + 59 wrt k.\nAnswer: -4*k*p + 6*k*q - 244*p - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(2)*-2)**2 - 2*sqrt(32)) + 1.\nAnswer: -8*sqrt(2) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 + -52. Let r(v) = 2*v - 14. Let m be r(6). Let i be (6 + 0 + 2)*o\/m. Calculate the greatest common divisor of i and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 7 - 2)*(20644*t**2 - 2*t - 13215*t**2 + 2*t).\nAnswer: 37145*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 843399352.\nAnswer: 2, 105424919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 - 2*a**2 + 3*a**2)*(-a - 2*a + 2*a) + 13*a + a**3 - 13*a + 3*a**2.\nAnswer: -a**3 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/4929 + 4569173\/24645. Let j = 184 - a. Calculate the common denominator of j and (-1 + 37\/42)*9.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.6 + -3.2. Let r = 0.8 + p. Which is the closest to 0.1? (a) 2\/21 (b) 5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 250, -8, -43, -5 in descending order.\nAnswer: 250, 5, -4, -5, -8, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(20\/3)*(-8)\/60\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o**(-2)*o*o)\/o)**(-33\/7)\/(o**(2\/23)*o*o**(2\/5)))**(-13))**(-47) assuming o is positive.\nAnswer: o**(-104481\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26225 + -2?\nAnswer: 26223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 840, 1616, 2392, 3168, 3944, 4720?\n\"Answer: 776*g + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 320.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 0.5572699?\nAnswer: 0.11145398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -1 - 4. Sort w, -2, 1 in descending order.\nAnswer: 1, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -1\/900*r**6 - 1\/3*r**3 + 0*r**2 - 1\/15*r**4 + 0*r + 1\/75*r**5 + 2. Let q(z) be the third derivative of g(z). Solve q(o) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -50493562, -50493545, -50493538, -50493547, -50493578, -50493637, -50493730?\n\"Answer: -n**3 + n**2 + 21*n - 50493583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 13, v: 3}.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -251937556 by 26.\nAnswer: -9689906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -7507443?\nAnswer: -7507443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vyy when three letters picked without replacement from {y: 3, c: 7, m: 3, v: 4, p: 1}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssqqsyqoqvoh. Give prob of picking 2 o.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 9 = 2*v, 2*d + 4 = 5*v - 2. Suppose 4*o - 3*h + 38 = 107, -2*o + h + 35 = v. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + 1. Let u(g) = -2*g + 4. Let n(q) = -u(q) + 4*y(q). Let f(t) = -t**2 + 2*t**2 + 6*t**2 - 2*t**2. Give n(f(h)).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/225 and 4\/16509.\nAnswer: 1238175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.041*8889.584.\nAnswer: 364.472944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29877 - 78384 = 4696*h + 26680 + 65693 for h.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/131 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 71*g**2 - 33*g**2 + 2 - 36*g**2. Let i(c) = 2*c**2. Determine v(i(h)).\nAnswer: 8*h**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 1:28 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -18. Sort 3, 5, -3, t in decreasing order.\nAnswer: 5, 3, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000010254 rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1402 + -2386. Let w = a + 134. Let i = 1559 + w. Is i 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 635953 and 255.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-9))\/((-6)\/9). Suppose 0 = 2*i + u + 3, -3*j = -3*i - 3. Is (29\/3)\/(j\/(-21)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w - 11. Let z be h(-7). Suppose 2*v + 5 + z = 0. Let t = -443 - -438. Which is the biggest value? (a) v (b) -0.07 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*r + 1 - 6 = 0, -3*i = -2*r + 9. Let v be (i\/(-3) - 2)*-9. Let x be (3 - 4) + 3*1. Solve 2*n - 4*k = n, 0 = -v*n - x*k for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8, -21, -42, -71?\n\"Answer: -4*m**2 - m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -7*m - 11. Suppose 0 = 5*g - k + 22, -3*g = g + k + 23. What is the remainder when 95 is divided by q(g)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2470 and 137195.\nAnswer: 67774330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**7))\/a)\/(a**(2\/11)\/a)*(a*a**(-4)*a*a)\/(a\/((a\/(a*a**(1\/13)*a*a))\/a))*(a**(-1\/3))**(-41)\/(a**(-2\/5)\/a)**(-49) assuming a is positive.\nAnswer: a**(-114097\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zxmz when four letters picked without replacement from {x: 4, z: 4, m: 1, k: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 3027742113?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2179*g + 18816. What is r(9)?\nAnswer: -795","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 + 37.6. Let q = 24.1 - 27. Let j = -2.5 - q. What is the smallest value in j, -0.3, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*s**4 + 440508*s**3 - 16482921*s**2.\nAnswer: -192*s + 2643048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46281.15 rounded to the nearest one thousand?\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/5*(-25)\/40.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -17927.498 and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d. Let j(q) be the first derivative of -76 - 3*q**3 - 40 + 31. Determine u(j(h)).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*w = 38, -4*y - 5*w = 71 + 51. What is the remainder when 41 is divided by (y\/16)\/((-4)\/32)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -33?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3864548?\nAnswer: 2, 53, 18229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 814829921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + l + 4*u + 46, -5*l + 143 = -3*u. Let k = l + -17. Is 13 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5782 - 304 = 6*s. What are the prime factors of s?\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1963 and 108569.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.06095 - 0.16095. Which is the closest to j? (a) -2 (b) -5 (c) -2\/11 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 8. Suppose 0 = -y - a + 3. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 154, 2\/5, -6\/17, -7 in increasing order.\nAnswer: -7, -6\/17, 2\/5, 3, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - -8?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 37*p**2 + 14*p - 43. Is d(16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*q + 129 - 129)*(-2 - 1 + 2 + (0 - 5 + 4)*(1 + 0 + 1) - 4 - 3 + 11) + 5*q + 2*q - 5*q + (0*q - 5*q + 4*q)*(-1 + 2 - 3) + 4*q - q - 2*q.\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -425329 (base 16) to base 13\nAnswer: -b925bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -384.9, -2, -2\/5703 in descending order.\nAnswer: -2\/5703, -2, -384.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-40)*5)\/(2\/4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + -2 + 2 + 2*sqrt(20)*3 + (sqrt(20) + sqrt(60)\/sqrt(3) + 3)*-1)**2.\nAnswer: -60*sqrt(5) + 509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 367 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32*s + 23*s - 20*s)*(2*s + 0*s - 6*s) + 2 + 3 - 6 + 2*s**2 + 11 - 11 + 2*s**2 as z*s + t*s**2 + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - -0.07.\nAnswer: -21.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4, 57, 200, 475, 924, 1589?\n\"Answer: 7*w**3 + 3*w**2 - 5*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-2 + 9 - 10 - 7) - (2 + 11)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bdywywduh. Give prob of sequence hwdy.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -557 - -562. Solve -2*m + 6*t - s*t + 4 = 0, -5*m - t + 10 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -3. Suppose -5*o + 3*r + 11 = -6, 3*o - 10 = 2*r. Suppose 5 = 5*u + 4*g, 3*u - 5 = -o*g + 2*g. Sort u, 2, h in decreasing order.\nAnswer: u, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 5*r + 49, -5 = r + 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -346*w. Let y(f) = -36855*f. Calculate y(t(b)).\nAnswer: 12751830*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**2 + 7*r + 3. Let t = 8 + -2. Suppose -4*c - 10 = -t*c. Let q(p) = -2*p**2 - 4*p - 2. Calculate c*q(v) + 3*a(v).\nAnswer: -v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 428*d - 428*d + d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n**2 + 2*n + 5. Let a(c) = -4*c**2 + 2*c + 5. Calculate -5*a(d) + 6*s(d).\nAnswer: 2*d**2 + 2*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 6*p. Suppose p = 6*w - 2*w. Suppose w = -4*h + h - 21. Let q(j) = j**2 + 7*j - 10. Determine q(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-648)\/60 - 0)*(-40)\/6. Calculate the highest common divisor of 180 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*j - 23*j - 2*j**2 - 58*j + 33*j.\nAnswer: -2*j**2 - 118*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2132 + 75 = -11*k. Suppose -w - w = -5*s - 404, 0 = w + 5*s - k. Calculate the remainder when w is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -122, 5, -4, 0 in decreasing order.\nAnswer: 5, 0, -1, -4, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*f**2 + 1)*(-359*f**2 + 319*f**2 + 894*f**2).\nAnswer: 2562*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -32. Let l = 60 + -42. Suppose 2*y + 0*y + 4 = 4*p, 5*p + 4*y - l = 0. Solve 2*j - 4*j = -p*n + w, -2 = -n for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90 - 31*h**3 + 90.\nAnswer: -31*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 626\/21077 or 0?\nAnswer: 626\/21077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 591952 and 3176.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 g, and 2 b when four letters picked without replacement from gmgbdgghg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 190096733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -6*s. Let x be -3*(-2 + (-4)\/6). Suppose -2*c + 4 = -2*v, -3*v + x = 7*c - 3*c. Let i(u) = -c*u + u - 3*u + u. Calculate w(i(g)).\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74830*b**2 - 38*b**3 + 74806*b**2 - 149644*b**2.\nAnswer: -38*b**3 - 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 452 divide 154475972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 563 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 18 = 2*c + 2*n, 3*c + 5*n - 28 = 0. Suppose c*l - 10 = 5*l. What is the least common multiple of (-1)\/(-5) + (-1341)\/(-45) and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1814679 and 489?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -15. Let p be 4\/(-10) + 326\/k. Let n = -20 - p. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -134\/2362161 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -847 divided by -7\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/1*(-110)\/55.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4 = 0, 6*m = 5*m + 3*i - 6. Solve 4*k - 8 = -m*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -635, -629, -611, -575, -515, -425?\n\"Answer: l**3 - l - 635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -381 - -907. List the prime factors of a.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-10) - (-140)\/100. Solve -4*u - 24 = -c, 0*u - u - c = v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*j**2 + 5*j**3 + 155*j**2 - 4*j**3.\nAnswer: j**3 + 109*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.3, 12\/5, 2?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3184 and 2390786.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 5, 0*g + 5 = -5*g - 5*o. Let s(y) = -g + 3*y + y**3 - 3*y**2 - 1 + 3. Determine s(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12 + 0 + -3)*532. Suppose d = 7*v + 5*v. What are the prime factors of v?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 7*l**2 - 98*l - 207. Let u be v(16). Solve 5*c = -3*m, -u*m + 22*m - 3*c = 34 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 62149011?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 178 from -117.3104.\nAnswer: -295.3104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 49*l + 1484. Does 7 divide x(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108742 + -163.795.\nAnswer: -108905.795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*b + 3*v - 31618 = 0, b = 3*v + 31636. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 604368 a multiple of 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2406681 is divided by 1380?\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -10*v + 222. Let w be ((-24)\/(-6) - 4)\/(-1). Does 17 divide h(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.795 and -656.\nAnswer: -654.205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 746 - 1169 = -98*r + 851 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83 - 17641*g**2 + 257 - 340.\nAnswer: -17641*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express ((6*b**3 + 3*b**3 - 5*b**3)*(-8 + 5 + 1) + (-6*b**2 + 3*b**2 + 2*b**2)*(-2*b + 5 - 5))*(-8 + 10 + 18) as i + h*b + q*b**2 + n*b**3 and give n.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c + 5*c - 7*c. Let a(u) = -3*u + 6. What is s(a(h))?\nAnswer: -3*h + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*s + 116, -d + 2*s + 43 = -2*s. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 170 and 8.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 107399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 b when two letters picked without replacement from {t: 1, m: 1, b: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 469 and 2926.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -661 divided by -1432?\nAnswer: 661\/1432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4405988*v**5 - 8709891*v wrt v?\nAnswer: -88119760*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 925380403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - ((-33 - -77) + -4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 846571.7 millilitres in litres?\nAnswer: 846.5717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.5, -18\/17 in descending order.\nAnswer: -0.5, -1, -18\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 4*p = 2*q - 760, 2*q + 350 = 4*p. Let c = -84 - q. What are the prime factors of c?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 279807426 divided by -9.\nAnswer: -31089714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bcz when three letters picked without replacement from {w: 1, z: 2, b: 1, c: 5}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -72*u + 2. Let q be w(-2). Suppose q = 5*t - 4. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 164 and 844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 3\/(-2)*6\/9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -587778 or -589117?\nAnswer: -589117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007370 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: Let o = -1601 - -1600.277. Round o to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -10*o - 3. Let r(p) = 11*p + 4. Let i(s) = -2*r(s) - 3*u(s). Let t be i(1). Solve -3*x + t = 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82325.\nAnswer: 5, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(847) + 1 + 2 + sqrt(847)*2)**2.\nAnswer: 198*sqrt(7) + 7632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from unkbl. What is prob of sequence blk?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -10*(1480\/(-25) + (-7)\/1) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5460 = -2*q. Find the common denominator of 17\/10 and -3 - (q\/(-24))\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 3)*(-3 + 3 + o) + 0*o + o + 4*o + 4*o - 3*o - 3*o + 2 - 3 + 5*o - 2*o to the form t*o + z and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -50?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 386 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -110011201100122 (base 3) to base 11\nAnswer: -371a121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o - 1. Let k = 5 + -7. Let a be t(k). Solve q = -z + a*z - 6, -3*q - z = -3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -142050 + 20?\nAnswer: -142030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 15, 5*f + h = -0*h + 17. Find the second derivative of -6*c**4 + 8*c**4 + 13*c + 4*c**f wrt c.\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t + 65. Give c(-6).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/4)\/((-54)\/16))\/((-80)\/(-120)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 12*v - 7. Let a be l(9). Suppose -4*p + a = -76. Suppose -o - 4*o + 65 = 0. What is the remainder when p is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4 - 25*d**3\/3 + 28*d**2\/3 - 4*d\/3.\nAnswer: d*(d - 2)**2*(6*d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -60*s**2 - 351*s - 697. Determine k(-2).\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 58*w - 4. Let m(j) = 60*j - 6. What is 5*m(l) - 6*n(l)?\nAnswer: -48*l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1475*v**3 - 3 + 3*v**2 + 55*v**2 + 1468*v**3)*(2*v + 2*v - 2*v) in the form k + q*v + r*v**2 + t*v**4 + i*v**3 and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r - r - r + 8*r.\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 3 - -3)*1. Suppose y = -11*z + 6*z + 40. What are the prime factors of 10*4\/z*4?\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 140 and 344456?\nAnswer: 1722280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/77 + (-240)\/168?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-42)\/140)\/((-4)\/80)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104989960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3004589898 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -3778713 smaller than -3778713?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -w**6\/60 - w**5\/8 - w**4\/8 + 5*w**3\/12 + w**2 - 3*w + 8. Factor i(n).\nAnswer: -(n - 1)*(n + 1)**2*(n + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.043 or -0.5?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (99 + 3)*(2 + -1). Suppose -z = -2*p - 0*p. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -1, 43, -3 in ascending order.\nAnswer: -3, -1, 1, 4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -20880 divided by -6960\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**4\/2 + 16*w**3 - 53. Solve a(q) = 0.\nAnswer: -24, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163551467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 56*((-6327)\/(-888) + -1*7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34364499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1710, 2606, 3526, 4482, 5486, 6550, 7686, 8906?\nAnswer: 10222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -14 - 2) + (-5 - -1) + 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a century in decades?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(56\/(-1)))\/((-24414)\/(-15024)))\/(8\/(-56)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 17 and -4996672015.21.\nAnswer: -4996671998.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1132210 + -31033?\nAnswer: 1101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 518683637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 807213, 808196, 809179?\n\"Answer: 983*w + 806230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + u + 1. Let q(v) = -v**2 + 2*v - 2. Let j(k) = -2*p(k) + q(k). Let c(y) = -2*y**2 + 11. Determine 4*c(s) + 11*j(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7189 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uiaiiliiuliuuul. Give prob of sequence li.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhhyhvvyhvv. Give prob of picking 2 v.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -540*i**3*s**2 + 1332*i**3 - i**2 + 5434442*s**2 wrt i?\nAnswer: -3240*s**2 + 7992","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Put together 19078654 and -0.3.\nAnswer: 19078653.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*s - 108*s - 7531 + 61006 = 0. Which is smaller: s or 710?\nAnswer: 710","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.54626 nanograms in milligrams?\nAnswer: 0.00007854626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -202*j + 1786. Give p(18).\nAnswer: -1850","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1075241298.\nAnswer: 2, 3, 3853, 46511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n**2 + 4*n - 7. Let x(k) = 3*k**2 - 3*k + 8. Let w(s) = -s**3 - 10*s**2 - 9*s + 5. Let i be w(-9). Let c(p) = i*x(p) + 4*q(p). Factor c(v).\nAnswer: -(v - 4)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -4, 56, -3, -12, -5 in decreasing order.\nAnswer: 56, 5, 4, -3, -4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 29. Solve 0 = -d + 2*d - u for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3.61, -0.1 in increasing order.\nAnswer: -4, -3.61, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000018056 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5885 - 19?\nAnswer: 5868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f**2 + 10*f + 3. Let v(y) = -6*y**2 + 21*y + 7. Let g(w) = 13*o(w) - 6*v(w). Suppose r - 2*t = 12, -5*r + 4*t = -0*t - 30. Calculate g(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2\/v*v**(5\/4)*v**6\/v*v**10)**0 assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 733 + -374. Calculate the remainder when 360 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -21, 851.\nAnswer: -21, -0.1, 851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 478\/368 - 58\/464. Let w = -289\/207 + u. Let s = -4 + 6. What is the nearest to s in -4, 0.5, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s + 4. Let r be c(7). Let i be (0 - (0 - r))\/(-1). Differentiate -i*u - 8 + 7 - u wrt u.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, s: 7, p: 6, b: 1, o: 3}. Give prob of sequence op.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 0*u + 5251 = 2*l, 5247 = 3*u + 3*l. Let r = 111 - 109. Suppose r*p - g - u = -p, -3*g = 5*p - 2945. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 4*q + 74. Suppose 2 = -q*y + 38*y. Solve -f = -2*m, 4 - 1 = m - y*f for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 65221319717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.9 + -10.94. Let q = -0.04 - j. Let p = q - 13. Sort -2\/11, -0.1, p.\nAnswer: p, -2\/11, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1596 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 - 38. Let c be (-8)\/10 - (-4)\/10. What is the nearest to c in -1, -2\/3, g?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 21. Suppose 0 = -g*l + 21*l + 16. Suppose l*q + 4 = 3*h - 1, 4*h - 12 = 4*q. Solve p - 17 = 4*m, 5*m = -4*p + h*m + 26 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/126 + (0 + 1)\/(-6).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3176947?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 26 = 5*l, 0 = -z - l - 14 + 3. Let s(q) = -q**2 - 8*q + 12. Let h be s(z). Suppose -1 + h = 2*y. Is 7\/3 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*z - 2*z - 3*z - 4*z - 3*z + 6*z + (2 + 2*z - 2)*(1 - 5 + 2) + 7*z + 6*z + 18*z.\nAnswer: 27*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 at most 135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -118\/9. Let d(r) be the first derivative of 0*r - 1\/12*r**4 + 0*r**2 + 1 + 1\/18*r**6 - 1\/15*r**5 + u*r**3. Determine n, given that d(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.28 in 0.3, 177, 2\/41?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -0.8, -5, 25\/3 in descending order.\nAnswer: 25\/3, -0.8, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - i + 6 + 5*i - 3*i - 2. Calculate the least common multiple of y(-3) and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165960364 - 165960364 - m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z + 0 - 5*z**4 + 3 - 2*z + 1 - z**2 to g + f*z**4 + x*z**3 + y*z**2 + v*z and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85 + 85 - 25*n to c*n + u and give c.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -13*n**9\/504 - 3*n**5\/20 + 19*n**2. What is the third derivative of t(q) wrt q?\nAnswer: -1560*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 3*b**2 + b - 1. Let v(r) = -r + 5. Let c be -2*(-2040)\/(-5) + 1*4. Let n be 2\/(-7) + c\/(-98). Let z be v(n). Calculate u(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10316.9889 rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/287 and -43\/695.\nAnswer: 199465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.203949*-0.1\nAnswer: 0.0203949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.0765127 rounded to one dp?\nAnswer: -21.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1281 (base 10) in base 5?\nAnswer: 20111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 157 take away 232?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 1230.9\nAnswer: -1237.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 264. Let w = -174 - c. List the prime factors of w.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -696 = -15*g - 441. Let z = 7 + -7. Let o be 13 - (z + 3\/(-1)). Is g at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (2*sqrt(1088)*-3 + -3 + sqrt(1088) + -2 - (-5 + -4*(sqrt(1088) - ((-3*sqrt(1088))**2 - sqrt(1088))))))*5.\nAnswer: -195865 + 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 55418.75988 to the nearest integer.\nAnswer: 55419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n + 18. What are the prime factors of o(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -30?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 + 0*o**2 + 4*o**3 + 29*o**3.\nAnswer: 33*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2346787?\nAnswer: 53, 44279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6473.54 + -6384. Let v = 90 - h. Which is greater: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -690837, -1381626, -2072421, -2763222, -3454029?\n\"Answer: -3*s**2 - 690780*s - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a day in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (42\/12*(-24)\/21)\/1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3410520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 69*z + 3. Let u be l(-6). Let g = u - -753\/2. What is the common denominator of g and 19\/((-9576)\/(-1743)) + 0 + (-2)\/24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1998161, 3996244, 5994327, 7992410, 9990493?\n\"Answer: 1998083*g + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -82*f*q*s*v + 2*f*q + f*s*v + 737*f*s - 6*f + 14*q*s - q*v - 2*q wrt q?\nAnswer: -82*f*s*v + 2*f + 14*s - v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n + 13. Determine o(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 12*q + 11. Let o be r(-12). Let c = -17 - o. Let d = -19 - c. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37387177 rounded to the nearest ten thousand?\nAnswer: 37390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 1:04 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, j: 1, a: 1, g: 5, y: 10}. What is prob of sequence jyyy?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -207*x**2 - 347*x**2 - 746*x**2 + 3 as t*x + v*x**2 + m and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 366 = -3*d + 369612*b - 369609*b, -5*b = 206*d + 24077 for d.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - 6. Let u = -2 - p. Solve 0 = 2*g + 2*g - u for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 7*n + 16. Suppose 0 = 9*p + n - 11. Solve 0 = 3*u + p + 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4131 - 3100213?\nAnswer: -3104344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049594 greater than 1049594?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -206.5 - -260. Let t = 16.5 + s. Let v = t + -79. Are v and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22412749 - 2.6329.\nAnswer: -22412751.6329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.63*48.4.\nAnswer: 562.892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**2 + 12*h - 14. Let v be j(-6). Let c(r) = 7*r + 164. What is the units digit of c(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113820*d**2 - 293 - 113814*d**2 + 293.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/32 and -103\/24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 57828 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -1\/1408028798?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*y - 1221, 4*y - 3*l - 1201 = -0*l. Is y a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from mmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10801, 21663, 32525?\nAnswer: 43387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 17 = 5. Let j = 6 - 3. Suppose 2*k = j*c - 4, -4*c - 18 = k + k. Put -4, x, k in ascending order.\nAnswer: k, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 - 1)*(2 + 2*s - 2)*(24 + 61 + 63) in the form f + u*s and give u.\nAnswer: -592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-97) - 176490\/(-143560)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2549a - 2?\nAnswer: 25498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 20*p**2 + 1115*p - 2299. What is y(24)?\nAnswer: -883","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 5 - (-14 + -20 + 6) - (5 + -7).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*n = 4445. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by 22986.\nAnswer: 14\/11493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45626 by 14.\nAnswer: -3259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6531 - 3265 - 2*a**2 - 3266 - 7*a**2.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35296?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 585.79 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 536b2 + -c1?\nAnswer: 535c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/5 - (-4)\/10. Let w be (24\/(-9))\/(x\/(-6)). What is the units digit of 16 - ((-9)\/(-3) - w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260734*t - 151820*t - 3 + 140257*t.\nAnswer: -272297*t - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 584222 - 90699. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20241 - -13727?\nAnswer: -4312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 994792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110100000110010101100 - 1010?\nAnswer: 1110100000110010100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7308877725 to the nearest integer?\nAnswer: 85492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84279769 divided by -1.\nAnswer: -84279769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 319 divide 1404943309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6*h + 17 + 6*h**2 + h - 5*h**2. Let r be x(-7). Let s(w) = 2*w - 20. What is the remainder when 41 is divided by s(r)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/6*1034\/2068?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*o = 162*o - 1014876. What is the remainder when o is divided by 127?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + 57 - (-11 - (7 + 37 - 69))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4336900956?\nAnswer: 2, 3, 1789, 67339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-182)\/(-56)*(-14)\/(-49)*14. Let s(k) be the third derivative of -5\/18*k**3 - 7\/180*k**5 + 0 + 0*k + 11\/72*k**4 + y*k**2 + 1\/360*k**6. Factor s(x).\nAnswer: (x - 5)*(x - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {x: 1, h: 4, u: 3, t: 3, d: 1, j: 6}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (18\/(-27))\/((-2)\/(-3)) - 42430\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/204027425 and -97\/250.\nAnswer: 2040274250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1060155 (base 7) to base 4.\nAnswer: 200100300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*(-6*w**3 + 3 - 6*w**4 + 3*w**3 + 4*w**4).\nAnswer: 2*w**4 + 3*w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.2273096 millennia?\nAnswer: 2.273096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2098022 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -358, -3 in decreasing order.\nAnswer: 28, -3, -358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -8*c - 0*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72769573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68816472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 16*l + 63*l**2 - 34*l**2 + 19*l - 30*l**2.\nAnswer: -l**2 + 3*l - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 3:37 AM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by (-3*(0 + 3))\/(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2502467448 a multiple of 876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 7:40 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(110)\/(sqrt(10)*2) + -1 + (2*(sqrt(110) + sqrt(110)*1 + sqrt(110) + sqrt(110)))\/(sqrt(10) + sqrt(20)\/sqrt(2)*5))**2.\nAnswer: -26*sqrt(11)\/3 + 1868\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(216)*-1)\/(-3*-2*sqrt(3267)).\nAnswer: 4*sqrt(2)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 4*b**2 + 14*b - 9. Let k be l(6). Determine o, given that -2\/3*o**2 - 2\/9*o - 2\/9*o**4 + 0 - 2\/3*o**k = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t + 3. Let h be a(1). Solve -h + 21 = -5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 t when four letters picked without replacement from {i: 1, t: 6, h: 4}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6\/7)\/k**(-9))\/(k**0)**(1\/10) assuming k is positive.\nAnswer: k**(57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + u = 2*z + 66, 0 = -5*u - z + 385. List the prime factors of u.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen fifths of a tonne?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7452 and 1956?\nAnswer: 1214676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 118, 185, 252, 319, 386?\nAnswer: 453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51892 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0. Suppose -3*y + 3*v = -6, -2*v + 4 = -2*y - 4*v. Suppose h + y*h = m. Solve -p + 4*p + 9 = h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30752064?\nAnswer: 2, 3, 7, 29, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -25853 divided by -7\nAnswer: 25853\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 5:00 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 6 - (11 + (-14 - -5))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(10\/(-1116)) - -2*9\/(-30). What is the highest common divisor of o and 4107?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-254)\/777 - 10\/35. Let x = 2\/37 - t. Which is smaller: x or 83?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -6d?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -21*g + 121. Let m be w(-6). Let d = m - 240. Solve 21 = d*k + 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-104)\/156)\/((-190)\/(-3))*-15.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 4) + 7 + 74. Let r = -75 + f. Solve 29*x - 26*x - r = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*u - 43. Let i(f) be the third derivative of -1\/12*f**4 - 40*f + 2*f**2 + 0 - 5\/2*f**3. Give i(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-7 - 15) + 5 - -5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(833) + 0 + -3 + -3 - (-1 + -1*(0 + sqrt(833)))*-5)**2.\nAnswer: 560*sqrt(17) + 13428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -b**4\/30 + 2*b**3\/5 - 8*b**2\/5 + 32*b\/15 + 58. Suppose o(j) = 0. Calculate j.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**4*(d*(d**(-1\/6)*d*d*d)\/d)\/d)\/(d**0\/d)**(-2\/15)*(((d\/(d**(1\/2)*d))\/d)**(3\/13))**(5\/9) assuming d is positive.\nAnswer: d**(358\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3131.\nAnswer: 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2283081 to the power of 1\/2, to the nearest integer?\nAnswer: 1511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11640666097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -453403 + -5?\nAnswer: -453412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1470282 take away -794544?\nAnswer: -675738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*b = -7 + 163, -3*l - b = -168. Let i = -37 + l. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -28)*9\/(-21). Let c(f) = f**3 - f**2 + 43. Let k be c(0). Let u = k - 13. What is the highest common factor of u and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72369 and 1935?\nAnswer: 361845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/12 + (-2)\/(-3). Find the second derivative of -o - 3*o**2 - o + c*o**2 + 6*o wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 5)*(-15*w - 2*w + w) - 2*w - 1 + 1 - 2*w + 5*w - w + w - w - w + (-3 + 0 + 4)*(-1 + 1 - w) - 2*w + 2*w + w)*(-4 + 8 - 3).\nAnswer: -33*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13083 + -13087. Let q = 14 - 13. Which is the nearest to -1? (a) -1 (b) s (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 195, 407, 635, 879?\nAnswer: 1139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 210.2555 + -212.08550236. Let f = 1.83 + i. Round f to seven dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -43 - 34b4e?\nAnswer: -34b92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4152 + -1a47?\nAnswer: 2408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiddiidiiiiiiid. What is prob of sequence idid?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184337108?\nAnswer: 2, 29, 37, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1300))*-2)**2.\nAnswer: -80*sqrt(13) + 5204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 4:02 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -333 + 113*u**2 + 333 - u to w + c*u**2 + p*u and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -10, -20, -44, -88, -158?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i**2 - i + 9. Let w be f(-3). Let o = w + 30. Calculate the lowest common multiple of 42 and o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3344623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 6*o = 1182. Suppose 41*h = 39*h + 868. Let b = h - o. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(468) + -1 + sqrt(468) - sqrt(468)))**2 + -6*5*sqrt(13)*-2 - (sqrt(143) + sqrt(143) + sqrt(143)*-3*-5)\/(6*sqrt(22)\/sqrt(2)).\nAnswer: -1457*sqrt(13)\/6 + 11725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.62, 64.27, 1\/4, 1\/6?\nAnswer: 0.62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*x - 12 - 28 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2504 and 41320.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5*c - 28, 17*w + 22 = 4*c + 18*w. Suppose -12 = -0*k - k. Calculate the smallest common multiple of c and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 49*p**2 - 2406*p - 102. Let k(r) = -17*r**2 + 802*r + 36. Give 6*h(q) + 17*k(q).\nAnswer: 5*q**2 - 802*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 p when three letters picked without replacement from {p: 1, z: 1, h: 5, u: 3, w: 2}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11442 + 1454 = 13*g. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 47973, 46899, 45825?\n\"Answer: -1074*g + 49047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n + 20*n - 27. Suppose -4*u - 5*d = -12, -2*u + 6 = 4*d - 6. Which is the biggest value? (a) u (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(-13)*n*(n\/(n\/n**(1\/22)))\/n*n*n**(-19)*n**(-1\/15) assuming n is positive.\nAnswer: n**(-1327\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 9*n + 4. Let i be u(-9). Let h(b) = -i + 1 - 8 - 3*b. Does 11 divide h(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0039600621 rounded to 5 dps?\nAnswer: 0.00396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2\/p**4)\/((p**(1\/2)*p)\/p**(-5)) assuming p is positive.\nAnswer: p**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 374 = o, -j = -4*o - 7 + 93. Let z = 100 + j. Solve z = 2*s - p - 2*p, p - 3 = -s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 16, -2, -11 in descending order.\nAnswer: 16, 5, 1, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.868, 22, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -3*d - 18, 5*z - 2 = 4*z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3402 and 23410863.\nAnswer: 1701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 169 - 100. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 1:05 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -11*i**2 + 17*i - 5*i - 2*i**2 - 5*i**2 + 4*i**2. Let r(d) = d**2 - d. Calculate a(u) + 12*r(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 118 = 3*m. Calculate the greatest common factor of m and 325.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3034233 (base 5) to base 9.\nAnswer: 74577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16727, 66793, 150215, 266975, 417055, 600437, 817103, 1067035?\nAnswer: 1350215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -220330, -440644, -660946, -881236, -1101514, -1321780?\nAnswer: -1542034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 6*b**2 - 8*b + 1. Suppose 4*f = -12, -3*g + 2*f + 2 + 22 = 0. Let k be j(g). Let t = k + 204. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -313?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 63*u - 60*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-4)*(-15 - -11). Let g = 32402 - 32399. Put 26, w, -4, g in ascending order.\nAnswer: -4, g, w, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6)*n**(-5))**(-13)\/((n*((n**(-2\/7)*n)\/n*n)\/n)\/(n*n*n**(-4\/9)))**(-5) assuming n is positive.\nAnswer: n**(8744\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-12) + (-1)\/6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3795 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5 - 6 - 6 - 1 + 3*l. What are the prime factors of r(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -152, -4, 2\/5, 4.\nAnswer: -152, -22, -4, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3983353037 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 1. Is ((-3)\/6)\/(m\/268) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a meter in millimeters?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (19 + -31 + (3 - -24)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -133\/3 - -44. Let i(w) = -w**3 + w. Let l be i(-1). Put 3\/2, l, v in descending order.\nAnswer: 3\/2, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, w: 4, e: 1, l: 5, b: 1}. What is prob of picking 1 b and 1 l?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (2 - (-2 - (4 + -6))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -5. Let n(u) = -u**2 - 4*u**f - 4*u**3 - 4*u + 1 + 3*u. Suppose -5*m + 20 = 0, 0*m + 9 = 5*o + m. Calculate n(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -9*x**2 + 12*x - 9. Let l(t) = -14*t**2 + 16*t - 9. Let f(i) = 2*l(i) - 3*n(i). Determine f(-8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 16, 29, 46, 67, 92?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 12\/82063?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**2\/9 - 1084*x\/3 + 1232050\/9 = 0.\nAnswer: 601, 1025","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is -2732 times 8?\nAnswer: -21856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -15*m - 32. What is the units digit of w(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, i: 1, u: 1, c: 1, p: 4, r: 5}. Give prob of sequence rrsu.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -9797, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times -9.9?\nAnswer: 5.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21821 - 19412. What is the greatest common factor of o and 146?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 123, 175, 227?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -31242440211?\nAnswer: -31242440202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2123809*w**2 + 4247613*w**2 - 19*w - 42*w - 2123806*w**2 - 14*w.\nAnswer: -2*w**2 - 75*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*a + 8*a**2 - 2 + 2 - 11*a as w*a + b*a**2 + c and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = 72*z - 54*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*y + 5*p = 22*y + p - 27 - 10, -2*p - 59 = -5*y for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.11 - 33.79. Let c = -35.8 - g. What is the nearest to -2\/7 in -8, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 92\/915 and 32\/1225917.\nAnswer: 6129585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 8:47 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = 4*k + 5*i, 66*i - 5770 + 5704 = 0 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5413 = -m - 5*k, -m + 1805 = -2*k. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2214954787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -65 - -4*((-15)\/(-4))\/5. Let b = w + 60. Let x(p) = 3*p. Determine x(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507065 = -6058*i - 5546*i + 326509 + 280410 for i.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 3*m - 822. Let d = m + -165. Is d a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 + 1)*4\/8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 312936870 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5140016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 o, and 1 k when three letters picked without replacement from {o: 1, s: 1, k: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -50128171026 + -1961?\nAnswer: -50128172987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = -82*i + 47*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -62*i + 315. Let g be j(5). Let r(t) be the second derivative of 33*t + 0 + 0*t**3 - 3\/5*t**g + 0*t**4 + 11*t**2. Differentiate r(h) wrt h.\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -m**6\/120 - m**5\/20 + m**4\/6 + m**3\/2 - m**2. Let g be t(-4). Solve -2*s + 5 = -g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -71503.1\nAnswer: 143006.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -345, -8, -30, 5, -5, 1 in ascending order.\nAnswer: -345, -30, -8, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 4*j**2 - 176*j - 13. Give i(-11).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 10*b - 9. Let c be w(7). What is the highest common divisor of 16 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -3b?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -69 - 134. Let j(u) = -3*u + 28. Let k be j(16). Let a = k + g. Calculate the remainder when 33 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1644.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 362099.036 - 835.\nAnswer: 361264.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, -7, -62, -151, -280, -455, -682?\nAnswer: -967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -2*w - 4*q, -85*w + 90*w + 4*q = 87. Solve -w*v + 100 = 5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**2 + 667298*u + 667299 = 0. Calculate u.\nAnswer: -1, 667299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0.17 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*m = 10, 4*w - 4*m = -0*w. Suppose w = -s - 0*s. Suppose 8 = -j + 3*j. Put s, j, 0 in increasing order.\nAnswer: s, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.11, 1, 2\/11, -2\/3, -1\/12?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, d: 3, p: 1, h: 1, z: 1}. What is prob of sequence ud?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nar when three letters picked without replacement from {i: 1, r: 6, n: 4, a: 5}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -117, 46, 311, 672, 1123, 1658, 2271, 2956?\nAnswer: 3707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 152798 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, j: 3, v: 1, f: 1}. What is prob of picking 1 i and 1 j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 10*f - 17*f - 11*f. Let c(l) = -3*l**2 + 10*l. Let j(n) = n**2 - 2*n. Let k(d) = -c(d) - 5*j(d). What is k(m(y))?\nAnswer: -648*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 7:57 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, o: 3, j: 11, x: 4}. Give prob of sequence ooox.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 + 957*f - 73332.\nAnswer: -(f - 873)*(f - 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m**4 + m - 2*m**3 - 7*m + 2*m**4 + 4*m in the form k*m**2 + g*m + i + f*m**4 + j*m**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -20*k**2 - 427*k + 47. Let c be t(-20). Solve 0 = -c*z + 583*z + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7294 = -5*k + 5*y - 214, 2*y + 6 = 0. What are the prime factors of k?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 20748?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 105346928?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k + 9. Let r be d(4). Let n(w) = 6*w + 9. Let m(g) = -9*g - 14. Let l(b) = r*m(b) + 8*n(b). Give l(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81*(-97)\/((-3298)\/(-34))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/5)\/((-18)\/(-585)). Let b = -6 + g. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -1003*m**2 + 16*m + 1. Let j(w) = 4013*w**2 - 65*w - 3. Let o(g) = -9*b(g) - 2*j(g). What is the thousands digit of o(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.19 + 2.81. Is h less than or equal to -0.09?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 3*z**2 - 1. Let o(r) = 43798*r**3 + 65697*r**2 + 21899. Determine -21899*j(t) - o(t).\nAnswer: -21899*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*l = -0*h + 3, -3*h = 2*l + 7. Which is the fifth biggest value? (a) h (b) 3 (c) -6 (d) 6\/11 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 154447280 by 398060.\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 7:52 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/6*(-6 - -10)\/(-16).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**3 - t**2 + 2*t + 2. Let v(n) = 5*n**3 - 4*n**2 + 18*n - 4. What is 2*o(q) + v(q)?\nAnswer: q**3 - 6*q**2 + 22*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 1840890?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -31, 0.5, -177?\nAnswer: -177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5926049025 + 10.78.\nAnswer: 5926049035.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, x: 3, l: 1, f: 5}. What is prob of picking 2 f and 1 r?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 617*i. Let m(c) = 28*c**2. Calculate m(n(k)).\nAnswer: 10659292*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93873208*n**3 - 46936620*n**3 - 46936590*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6579, -1 in decreasing order.\nAnswer: 6579, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -846872 (base 9) to base 15\nAnswer: -9e3b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 56232, 56052, 55728, 55260, 54648, 53892?\n\"Answer: -72*y**2 + 36*y + 56268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 712 = 4*p - 7*o, 5*p = -5*o + 900. Suppose -185*i + 24 = -p*i. What is the lowest common multiple of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1832)\/10 - 1\/(-5). Let u = 264 + m. Suppose -1 = 4*s - u. Calculate the highest common divisor of 60 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -86.8, 1\/8, -9\/13?\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.489 + -0.069. Round m to 1 decimal place.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163354?\nAnswer: 2, 81677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 502393 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2 - 13 = 0. Let n(s) = -2*s**2 - 6*s + 4. What is n(d)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -10*h - 22. Let d(b) = -b + 4. Let i(n) = -n - 1. Let f(m) = d(m) - 5*i(m). Calculate -12*f(k) - 5*u(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*o - 8 = 0. Let m be (252 - (-2 + o))*-40. Round m to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and -1281434970?\nAnswer: 1281434970.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 10*f**2 - 7. Let q(o) = -2*o**3 - 20*o**2 - 46*o + 3. Let h be q(-6). Give k(h).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -11*h**6\/6 + 2*h**3 + 29. Find the third derivative of r(m) wrt m.\nAnswer: -660*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9545148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-9)*a*a**5)**(-40) assuming a is positive.\nAnswer: a**(-640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 54\/26023 (b) -0.2 (c) -15 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - -1.2. Let m = -1\/243 - -3164\/1215. Let v = m - 31\/10. Which is smaller: v or s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 3 - (-25 + 25 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1380 and 19644?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -59.\nAnswer: 5\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*l - 148*l = -254*l. Which is the closest to -1? (a) l (b) -0.6 (c) -8\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3\/2, 4, -4 in decreasing order.\nAnswer: 4, 3\/2, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -405*h**5 - 2*h - 77 wrt h?\nAnswer: -8100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9916601 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11487031649 + -0.2.\nAnswer: 11487031648.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -1917*j + 21069. Calculate t(11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 5. Let x = 4 + u. List the prime factors of -2 + 2 - x - -12.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 + 809380*h - 793079500.\nAnswer: 5*(h - 974)*(h + 162850)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -73211, -73198, -73185, -73178, -73183?\n\"Answer: -t**3 + 6*t**2 + 2*t - 73218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 168138982381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 0) + 18 + 3. Let l = 90 + i. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.3 (b) 1.3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 11:45 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 3712 and -913 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**4 + 9375*i**3 + 2177985*i**2 + 119584805*i.\nAnswer: -5*i*(i - 2089)*(i + 107)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 4 = 76 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z. Let o(w) be the third derivative of 23*w**5\/60 + 43*w**2. Determine p(o(c)).\nAnswer: -46*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1484, -0.0021, 6\/25 in decreasing order.\nAnswer: 6\/25, -0.0021, -1484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**3*h**3 + 12077*b**3*h**2 + 2*b**2*h**3 - 166*b**2*h - 3*b**2 + 7*b*h**2 - 3*h wrt b.\nAnswer: -12*h**3 + 72462*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 1. Let z be m(0). Let b = 1 + z. Factor -1 - 19*t**2 - 24*t**2 + 8*t**b + 2*t + 9*t + 25*t**3.\nAnswer: (t - 1)*(5*t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 14 + -29 - -1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 22\/131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -26971*v + 26969*v + 32, -6*r + 2*v = 38 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -24875002 times -3?\nAnswer: 74625006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3\/10, -0.323839 in ascending order.\nAnswer: -10, -0.323839, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 27 + (26 + 1 - (515 + -440))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9991 = -8*a + 4417. List the prime factors of a.\nAnswer: 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbdbbddbbbd. Give prob of picking 1 d and 1 b.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6960*i = 6943*i - 136 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (0 + sqrt(7))**2)*-2 - ((sqrt(28)*2)\/sqrt(4) + sqrt(7)) - ((sqrt(28)*1)\/sqrt(4) + (sqrt(567) - -2*sqrt(567)))) + 4.\nAnswer: -33*sqrt(7) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 + 5*z - 1. Calculate the remainder when l(-8) is divided by (6\/8)\/(-6 - 121\/(-20)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105\/(-75460)*-49*-4?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 609 - 604. Suppose 2 = 2*m - 4*m. What is the closest to m in 1\/4, c, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 0*u = 1480. Let j = -121 - u. List the prime factors of j.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2417?\nAnswer: 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-6))\/v**(2\/13))\/(v**0)**1 assuming v is positive.\nAnswer: v**(-67\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -37*h**2 + 398*h + 130. Let x(y) = -56*y**2 + 598*y + 194. Let w(z) = -7*m(z) + 5*x(z). Suppose w(s) = 0. What is s?\nAnswer: -2\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 10 = -a. Suppose 0 = -2*p - 3*l + 15, -2*p + 2*l - 15 = -a. Let o be -1 + (-1)\/4*-2*0. Sort 0.4, o, p in descending order.\nAnswer: 0.4, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (1 - -1 - -6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 80*w**2 - 256*w - 3725. What is the thousands digit of i(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 43*v + 0*v**3 + 44*v. Let f = -1 + -5. Let o = 11 + f. Let u(j) = 6*j**3 - 4*j. Calculate o*a(h) + u(h).\nAnswer: h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 461898908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -231223 divided by -111.\nAnswer: 231223\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 32957432 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - -4)\/(-3 + 4). Solve -2 = q - a for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -1\/6*z**3 + 4*z**2 + 0 - 6*z. What is the first derivative of d(q) wrt q?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201221001 + 100?\nAnswer: 201221101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, r: 1, u: 1, z: 1, f: 2, m: 1}. What is prob of sequence rfu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**4\/42 + 4*p**3\/21 - 4*p**2\/7 - p + 2. Let d(y) be the first derivative of u(y). Solve d(j) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 - 11*t**2 + 17*t**2 - 6*t**2.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/124149 + 5162882\/124149. Which is greater: x or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 94770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 3, 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -49, 5, -2\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 13 + 79. Let z = -16 + w. Suppose -l + 3 = -3. What is the remainder when z is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15941432 and 1352?\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 191395 (base 12) to base 3\nAnswer: 211020110012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -173, 10, -863, -1, 1\/2, -2?\nAnswer: -863","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1968019, 4\/7 in descending order.\nAnswer: 4, 4\/7, -1968019","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5, 4*d = -i + 2*i + 83. What is the lowest common multiple of 22 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -84 + 104. Calculate the greatest common factor of v and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29.7 - 25.7. Let f = -4 + 7. What is the nearest to 0.1 in -1\/3, f, h?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence db when two letters picked without replacement from dvbaabdbaabbdadda.\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-106)\/2385)\/(-1 - (-4 + (8 - 6))).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 810, 4410, 8010, 11610, 15210?\nAnswer: 18810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(7 - -13)*(-3 + 0)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -2, -22, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 14*k**3 - 3*k + 3. Give i(3).\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 40 = -5*u, 46 = d + 292*u - 287*u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150823*p + 150880*p = -1938 for p.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 0. Let u be ((-5)\/30)\/((-1)\/x). Is 3*(-1*314\/(-3) + u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 1, -2*t + 7*t = -3*g - 22. Suppose 0 = -4*z + 6*c - 5*c + 11, 2*z = -3*c + 9. Sort t, z, 4, 18 in descending order.\nAnswer: 18, 4, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j. Let t be f(-4). Let u be 6\/(t\/(32\/12)). Suppose v - 4*l = -6, -u = -3*v - 5*l + 12. Solve 3*x = 5*x + v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -17, -35, -53, -71, -89?\n\"Answer: -18*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(24)\/(sqrt(12)*2) + -1*sqrt(18))*2*5.\nAnswer: -25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484 is divided by 82?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -104*z**2 - 199*z**2 - 82*z**2 + 2 + (z + 4 - 4)*(3 - 3 + z).\nAnswer: -384*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -86.35 - -86.34. Is g <= 34\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/14 - (-3 + 3180\/(-42)). Let y = 23 - c. Let h = 166 + y. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2784315, -2784335, -2784369, -2784417?\n\"Answer: -7*l**2 + l - 2784309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (44*k - 44*k - k**3)*(4 - 3 + 1)*(1532 - 124*k - 1532 + 922*k) to the form s + t*k + b*k**2 + i*k**3 + w*k**4 and give w.\nAnswer: -1596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 56 and -287099381429.\nAnswer: -287099381373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -23, -92, -231, -464?\nAnswer: -815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2708.\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 645, 0.2, 4, 681?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 392 - 29. Let a be (-7 + m\/9)*-54300. What is a rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (0 + -7 - -2) - -2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*k + 11650 = -3169 - 15051 for k.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 12*d - 208. Let o be u(18). Let f be (1\/((-1)\/(-7)))\/1. Suppose 0 = m - f*m + 42. Which is smaller: o or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, j: 5}. Give prob of sequence jiji.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -179.6351 - 0.1649. Let d = f + 207. Let t = 27 - d. Which is the nearest to 0? (a) t (b) 2\/13 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 7*c**2\/2 - 7*c - 7. Let h(l) = -7*l + 7. Let f(a) = -6*h(a) - 5*i(a). Let q(w) = -20*w + 20. What is -17*f(z) - 6*q(z)?\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 390 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0*g - 18. Suppose 0 = r - 5*r. Let a = r + g. 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: Simplify ((a\/((a*a**39\/a*a)\/a))**(18\/7)*(a\/(a**(-2\/27)*a))**(-13\/2))**(-30\/11) assuming a is positive.\nAnswer: a**(185590\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -2. Let f(j) = 2*j + 3. Let k(t) = 2*t + 4. Let w(i) = 4*f(i) - 3*k(i). What are the prime factors of w(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, k: 2, w: 1}. What is prob of sequence kiw?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from flofl. Give prob of picking 2 l and 1 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 191570.26 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2*(5 + (2 + sqrt(128) - sqrt(128))) + 6*(sqrt(128) + (sqrt(128) + 2*sqrt(128))*-2) + 4))**2.\nAnswer: -34560*sqrt(2) + 462096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 10:42 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -4. Suppose j + j - s = 0. Find the second derivative of -2*k**3 + k**3 - k + 0*k + j*k wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -812*g = -806*g. Solve -q - 2 - 3 = -o, -4*q - o = g for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**4\/12 + 7*v**3\/6 - v**2 + v. Suppose -492*u - 223*u = -4290. Determine t(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 117 and 119 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 816.7903 - 3?\nAnswer: 813.7903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(4\/(-47 - -3)). Let g(u) = u - 110 + y. Let f(x) = 3*x. Calculate f(g(l)).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 10*c**3 - 2*c**2 + 11*c - 9. Let r(g) = 5*g**3 - g**2 + 6*g - 5. Let w(z) = -6*n(z) + 11*r(z). Determine w(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y, 6*d - 8*d + 5*y = 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 344723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p*p*p**(1\/3)))*p)**(2\/9)*((p*p\/(((p**(-13)\/p)\/p)\/p))\/p)\/(p*p**(-2\/5)) assuming p is positive.\nAnswer: p**(2314\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 29*u**2 - 61*u + 22. Let q = 272 - 241. What is the lowest common multiple of 9 and s(q)?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -161615 + 11?\nAnswer: -161604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7959799 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -1) + (-4 - (9 - 8 - 7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in grams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -11.9.\nAnswer: 2.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 + 73 = 5*v. Suppose -5*h + v = 11. Solve 5*a = 2*a + h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -0.2, 5, -0.5, 2027?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -930*h**3*n**3 + h**3*n + 3*h**2*n**3 - 572*h**2*n wrt n.\nAnswer: -5580*h**3*n + 18*h**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**7\/630 + 521*o**6\/180 - 271441*o**5\/180 + 1399*o**2 - o. Let s(q) = 0. Calculate q.\nAnswer: 0, 521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -179*q + 180*q + 7 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2698885 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r. Let o(l) be the third derivative of -l**6\/180 + l**3\/2 - 3*l**2. Let i(n) be the first derivative of o(n). Calculate s(i(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 13*g - 8. Let j(x) be the third derivative of x**4\/24 - x**3\/6 - 300*x**2. What is 6*j(k) - w(k)?\nAnswer: -7*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, i: 2}. Give prob of picking 3 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2204 - -2197.982. Let q = -9 + 15. Let j = k + q. Round j to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -208521*-0.1\nAnswer: 20852.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d**3*j - d**3*x**2 + 38*j*x**3 + 9*j - 179*x**3 - 97*x**2 wrt j.\nAnswer: 2*d**3 + 38*x**3 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 202 = -253. Suppose 2*m + 19 = 85. What is the remainder when f is divided by m?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 5*i**2 + 3*i + 4. Let a be w(-2). Differentiate 40*f**3 + 8*f**2 + a - 10*f**2 + 2*f**2 wrt f.\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/3)\/((-9)\/162). Let i(m) = -6*m**3 - 5*m**2 + 1. Let a(j) = 5*j**3 + 6*j**2. Let h(q) = x*i(q) + 5*a(q). Find the first derivative of h(g) wrt g.\nAnswer: -33*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53 and 1431.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 s when two letters picked without replacement from {k: 6, s: 3, z: 3, o: 1, c: 1, t: 4}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*y**5 - 2*y**4 + 40*y**2 - 79*y**3 + 76*y**3 + 2*y**4 wrt y.\nAnswer: -900*y**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-61)\/(-244) + ((-257)\/6)\/(26\/39).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 38*b**2 - 696*b + 26452. Let q be m(38). Suppose -2*o + 7*l = 4*l - 10, -2*o = -4*l - 12. Is q less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151563577?\nAnswer: 11, 13778507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 18 + 0)*(-3 + 12*j + 3)*(0*j + 0*j + 2*j).\nAnswer: 576*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 13, 5, -25, 12 in ascending order.\nAnswer: -25, -5, 2, 5, 12, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30920628 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/284620 and 67\/36.\nAnswer: 2561580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 10:06 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.91 take away -850583704120?\nAnswer: 850583704119.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 3 (c) 200\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 785*f*n**4 - f*n + 178*n wrt n.\nAnswer: 9420*f*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**3 - 4182*c**2 + 618435*c - 24249456 = 0. Calculate c.\nAnswer: 81, 1232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 less than -0.0244895483?\nAnswer: -0.0844895483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230*i + 325*i**3 + 230*i.\nAnswer: 325*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g + 8. What is r(7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 - 358806210*i - 6437094816728205.\nAnswer: -5*(i + 35880621)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 878689 + 4?\nAnswer: 87868d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 122 = 3*b, 4*b + d = 49 + 112. Calculate the greatest common divisor of b and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 553*a - 548*a + 10*a**3 - 3*a**3 - 3*a**3.\nAnswer: 4*a**3 + 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2, -0.5, -5745, -2\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -191 > -188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 7 = 7*k. Let z = 78 - k. Suppose 3*y - z = 25. 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 q be 4 - 1 - (-11 + 6 + 5). Sort 8, 2, 4, q in descending order.\nAnswer: 8, 4, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -263\/8 + 33. Let j = -3.92 - 0.08. Which is the third biggest value? (a) -3 (b) j (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/2955 and -73\/1362?\nAnswer: 1341570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 70.0031 + -70. Round u to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11877 minus 302571007?\nAnswer: -302559130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*v - 4. Suppose -26 + 10 = -v*t. Let s(a) = -a**3 + 4*a**2 - 2*a - 2. Calculate s(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -2\/35, -1, 1\/4 in ascending order.\nAnswer: -5, -1, -2\/35, 0, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.06 - -0.51. Let f = j - -1. Let m = -0.75 + f. Which is the second biggest value? (a) 0.4 (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g. Let b be a(1). Suppose b*v = v + 1. Suppose h + 2*r - 17 = 4*h, 4*h + 23 = 3*r. What is the nearest to 0.1 in v, h, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47704441?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**3 - 2*c**3 - 3*c**3 - 2*c**2 + 2*c**2 - c**3 + (c - 6*c + 4*c)*(c**2 - c + c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 261991, 3\/4, 0.1.\nAnswer: 0.1, 3\/4, 4, 5, 261991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 6*l**2. Let d(m) = 32364*m. Determine d(b(n)).\nAnswer: 194184*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (156 - 155)*(-2 - (6 + 1)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1421 at least -1422?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 9 - 29 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 5*v = -5*q + 25, q + v = -1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4015 - 4006. Solve -10*d + 9*d - i + q = 0, 0 = -2*d + 2*i + 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 7*p**2 + 10*p + 7. Let v be s(-6). Let d = v - -166. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 7. Suppose 0 = 4*f - u - 8, 12 = 2*f - t*u - 6. Suppose 4*y - 9 = -f. Calculate the smallest common multiple of 3 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1050 + 4117\/4. Find the common denominator of 107\/1548 and h.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12*7\/(-280))\/(12\/5). Which is the closest to 0? (a) 5 (b) 5\/2 (c) -1\/2 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + -13 - -95) + -54?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 28\/7*(147\/(-28) + -2 + 7). Sort u, -23, 26.\nAnswer: -23, u, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.042 + -0.142. Sort m, 5, -1\/7, 0 in descending order.\nAnswer: 5, 0, m, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-three fifths of a century?\nAnswer: 1060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2450, -2385, -2274, -2111, -1890?\n\"Answer: d**3 + 17*d**2 + 7*d - 2475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.17294*-5\nAnswer: -0.8647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 57 in 0.1, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ws when two letters picked without replacement from wwwswwswdwssssdww.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (51\/34)\/(21\/4) + (-14)\/(-294). What is the second biggest value in 0.4, -4, t, -97?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 48 = -6*k, -2*k - 92*g + 94*g = -24 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 8. Let g = l + 9. Suppose -g*n = -n - 3. Solve z + 4*r - 19 = 0, 5*z - 2*r = 2*z + n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9281?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -59828*c - 1196565. Determine s(-20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, o: 1, g: 1, d: 2}. Give prob of picking 1 o, 1 n, and 1 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*k**3 + 132*k**2 + 127*k + 22 = 0. Calculate k.\nAnswer: -11\/3, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c = 2*x + 640, 4*c - 2*x - 1286 = 0. Suppose l - 76 = 2*a - c, 128 = a + l. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5189074 is divided by 138.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, n: 2, p: 6}. What is prob of picking 1 n, 2 a, and 1 p?\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 970687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*k**4\/13 + 2*k**3\/13 + 8*k**2 - 122*k\/13 + 24\/13 = 0. What is k?\nAnswer: -4, 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-6))\/((-4)\/(-9)). Let n(j) = -3*j + 23. Let f be n(7). Does q = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 756 and 3618?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/4*127\/((-591185)\/588)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 149.88 + -153. Let w = 4.68 + -4.56. Let d = m + w. Sort 0.2, 3, d in descending order.\nAnswer: 3, 0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13851, -13850, -13849?\nAnswer: -13848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(1\/6))\/(((w**(-4\/7)\/w)\/w)\/w) assuming w is positive.\nAnswer: w**(185\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence thy when three letters picked without replacement from {h: 3, y: 4, q: 3, t: 3}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 647 + -459. Let l = -1.0248257406 + -186.9751729494. Let c = n + l. What is c rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 148.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o - 6. Let v(n) = -4*n + 7. Calculate -5*v(d) - 6*w(d).\nAnswer: -4*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -9 (b) -0.5 (c) -4 (d) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3096558370 to the nearest integer?\nAnswer: 1458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 690086669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1808, -1891, -2008, -2171, -2392, -2683, -3056, -3523?\nAnswer: -4096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 + 32*o - 38. Let z be g(-17). What is the lowest common multiple of 4 and (-1)\/((-5)\/(-780)*z)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a + 13\/2*a**2 + 1\/2*a**3 - 12.\nAnswer: (a - 1)*(a + 2)*(a + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50289 != 50101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -111676 (base 8) to base 6\nAnswer: -451034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 6:12 AM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*x = -116, -3*i + 108 = -5*x - 244. What is the greatest common factor of i and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1024 + 13314\/13. What is the closest to m in 0.6, 2\/13, -1\/6?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14 - (12 - 24)) + 2\/(-8)*-5. Let d(l) = -2*l - 8. Let w be d(-8). Let p be (-9)\/w + -2 + 3. Put 2, h, p in ascending order.\nAnswer: h, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = x - 3. Let v(u) = 149*u + 447. Let q be v(-3). Put x, q, 4, -2 in descending order.\nAnswer: 4, q, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -610.6 - -609.15. Which is the nearest to -4? (a) n (b) 1 (c) 0 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -10. Let o = a - 16. Which is smaller: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 495258 and -4?\nAnswer: -1981032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-432)\/9)\/6)\/(-1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6731414 a multiple of 1220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -6 (c) -0.2 (d) -509 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (605\/30)\/(-121)*30?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 74 = 39. Suppose -y + 3984 = 2*f + 3*f, -g*f = -y + 4034. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/40 and 97\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 22399953 to the power of 1\/2, to the nearest integer?\nAnswer: 4733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 - -17. What is the common denominator of -109\/30 and 2\/(-90)*6\/f*-79?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*d + d - 2*d)*(-d**2 - 3*d**2 + 3*d**2) - 2*d**3 - 4*d**2 + 4*d**2)*(3*d**2 - 7*d**2 + 2*d**2) - 3*d**5 + 2*d**5 + 3*d**5.\nAnswer: 10*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of 0 + 0*b + 0*b**3 + 1\/12*b**4 + b**2. Suppose -3 = 2*o + m, -o = -5*o - m - 7. Give p(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 - -9) + 140 + -1. Suppose 3*x - 748 + g = 0. What are the prime factors of x?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 218.\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**2 - 3*q. Let d(r) = -237*r**2 + 6*r + 262. Let m(p) = d(p) + 2*z(p). Differentiate m(a) wrt a.\nAnswer: -482*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20317, 20306, 20295, 20284, 20273?\nAnswer: 20262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 223 divide 1176548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**5\/17 + 342*d**4\/17 + 5596*d**3\/17 + 13428*d**2\/17 - 5598*d\/17 - 810 = 0. What is d?\nAnswer: -153, -15, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1710\/(-108) + 14)*(10\/2 + 1). Is r > -511?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j**(-5\/4)\/j)*j*j\/(j**(-1\/6)\/j*j)*j assuming j is positive.\nAnswer: j**(77\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 235235 (base 6) to base 11.\nAnswer: 14541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 1, -2, -5, -8?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18646, -37161, -55676, -74191, -92706, -111221?\nAnswer: -129736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14064?\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*c - 8741 = -342*c + 2755 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 712*i = 590*i - 3182 - 1942 for i.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-943*(-360)\/2460)\/(((-7)\/(-14))\/(2\/(-6)))?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27937 or 28520?\nAnswer: 27937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 5 = 2*b - 12, -4*r + 4 = 4*b for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105153800 to the nearest integer?\nAnswer: 10254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a tonne in kilograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9657 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2. Let r(l) be the third derivative of 29*l**5\/60 + l**4\/12 + 48*l**2. Give w(r(z)).\nAnswer: 841*z**4 + 116*z**3 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -264846643 minus 3?\nAnswer: -264846646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1927970.\nAnswer: 2, 5, 11, 17, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/7))\/(s*s**(2\/9)*s))\/(s*s**(-1\/8)*(s\/s**7)\/s*s) assuming s is positive.\nAnswer: s**(1823\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(22)*-2 + sqrt(22))*-4)\/(sqrt(44)\/(sqrt(16) + sqrt(4))).\nAnswer: -60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1377 divided by 81\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1269)\/470)\/((-93)\/5)*5*14\/(-105)?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8948, 15914, 22824, 29678, 36476, 43218?\n\"Answer: -28*m**2 + 7050*m + 1926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32374336039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, m: 2}. Give prob of picking 2 m and 2 a.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (68\/17)\/(6\/(-33)). Let a(p) = p**2 + 4*p - 16. Suppose 7 + 7 = -2*f - 4*s, 0 = -2*f + s - 14. Let j be a(f). Sort j, -5, y in ascending order.\nAnswer: y, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*o + 3*z - 14, 0 = -o - z + 8. Let u = 26 - 13. Calculate the remainder when u is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 4, -3, -14?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*b - q - 620 - 122 = 246, 7*q + 12 = 3*b + 10*q for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/((-21)\/(-6) - 4). Let n = g + 15. Sort -4, n, 3 in descending order.\nAnswer: n, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 9:06 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -18110785, -36221569, -54332353?\n\"Answer: -18110784*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 257 + -258. Let s(j) = -j - 4. Let f(r) = -r + 1. Let o be (1\/2)\/(2\/12). Let m(l) = o*f(l) + x*s(l). What is the derivative of m(w) wrt w?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 1128, 2.\nAnswer: 2, 10, 1128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -2*j. Suppose -12 = -j*k - 0*k. What is the remainder when 10 is divided by 0 + k + (0 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2469801704.\nAnswer: 2, 29, 67, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/14*(5\/(-10))\/(-1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 + -49. Let h(o) = 65*o - 2. What is the tens digit of h(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4264 or 4260?\nAnswer: 4264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 74248?\nAnswer: 519736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -587.91 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 215*r**2 - 11503*r + 12. What is x(-115)?\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1115 (base 6) to base 11.\nAnswer: 21a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmm when four letters picked without replacement from {m: 8, x: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -110111100 (base 2) in base 13?\nAnswer: -282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 1 = -4*s. Let f(r) = -2*r**2 + r. Let k be f(s). Let o(j) = -j**3 - 5*j**2 - 3*j + 3. Give o(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1299 (base 16) to base 9\nAnswer: -6470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2*k + 975. List the prime factors of k.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -912?\nAnswer: 91.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5303890 is divided by 43?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -60.\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 4*j**2 + j - 1. Let r be x(-3). Suppose 1033 = r*s - 347. Suppose w - 60 = -5*m, -4*w + 3*m - 5*m = -s. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -138*u + 68*u + 69*u + 119. Suppose 2*t + 4*o - 20 = 0, -10 = t + 4*t - 2*o. Is i(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -15*j + 909. Let u(q) = 52*q - 2729. Determine -7*l(c) - 2*u(c).\nAnswer: c - 905","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 4)*(-4*j + 4*j - 10*j).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-4896004)\/(-913) + 6\/(-11) and 6?\nAnswer: 16086","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 5:33 PM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2685321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006845 to 7 decimal places.\nAnswer: 0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -236.357193 + 204.35719712. Let l = z - -32. Round l to 7 dps.\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32323222 (base 4) to base 7\nAnswer: 343213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -5. Suppose -i*h + 7*h = 3*p + 4, 2*h + 4*p = -14. Suppose 6 = -o - 2*o - 4*t, -4*t - 18 = -3*o. Sort o, -3, h in ascending order.\nAnswer: -3, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9, 46, 117, 228, 385, 594, 861, 1192?\n\"Answer: j**3 + 11*j**2 - 3*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4185 * 1.\nAnswer: 4185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65\/38 + 1637\/76. Let r(d) = -d**3 + 8*d**2 + d - 5. Let m be r(8). Calculate the common denominator of 28\/m - (-3 - -1) and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0026 + 536.0026. Let w = b - 535.9609. What is w rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1278944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-63)*-3)\/((-1568)\/488432)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 36. Let s(c) be the first derivative of j*c - 2 - 1\/2*c**2. Find the first derivative of s(m) wrt m.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -20*k + 3. Let r be b(-3). Suppose -h + 4*h = -r. Let u = -8 - h. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1705 and 22438420?\nAnswer: 246822620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-21)\/126 - 25\/(-6). Suppose 12 = -f*s, -4*g - 2*s = -s - 1497. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 divided by -1764221?\nAnswer: 124\/1764221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3035, -12138, -27295, -48506?\nAnswer: -75771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30.4 - -35. Let o = -5 + u. Put o, -0.1, 0.2 in decreasing order.\nAnswer: 0.2, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 1672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-7)\/u)\/u)\/u*u**(-23)*(u**(-9))**(-4\/15) assuming u is positive.\nAnswer: u**(-153\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2267\/1605 - -4\/321. Calculate the common denominator of 107\/6 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - ((-54)\/6 - 4) - 4. Suppose 42 = i*g - 46. Solve 3*q + p = -2*q + g, -4*q + 4*p = -28 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.3 + -4.2. Let j be (-8)\/12*6\/10. What is the biggest value in c, j, -1\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3229\/4 + -807. Which is the closest to -2? (a) t (b) 1 (c) 0.14 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3323648 and 8309120?\nAnswer: 16618240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**5\/300 - 81*n**4\/20 - 19683*n**3\/10 - 236*n**2. Let p(h) = 0. What is h?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*v - 32. Calculate the remainder when 27 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8576 is divided by 282?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t**3 - 2*t**2 + 32*t - 2. Let l(h) = 25*h**3 + 11*h**2 - 161*h + 11. Let d(q) = 2*l(q) + 11*m(q). What is the second derivative of d(u) wrt u?\nAnswer: -30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of 3509*a**9\/504 - 74*a**5\/15 - a**4\/24 - 3*a**2 + 23*a. What is the third derivative of i(k) wrt k?\nAnswer: 421080*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1182305 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o + 5. Let r(x) = 3*x + 4. Let i(g) = -5*r(g) + 4*u(g). Let v(y) = -70*y**2. Calculate i(v(k)).\nAnswer: -70*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-407)\/33 - (-4)\/(-6)) + 9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 8*c + 96. Is s(10) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**4 + 926*q**3 + 35362*q**2 - 926*q - 35364 = 0?\nAnswer: -421, -42, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 14*h**2 + 25*h - 16. Let j be w(-11). Suppose r + 2*r = -3*s + 312, 0 = -5*r - 3*s + 528. Calculate the greatest common factor of j and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*h + 15*h + 13. Let v(i) = -2*i + 30. Let n be v(h). Let a be 0 - (-85 + -1 - n). Calculate the greatest common divisor of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i. Let g(r) = -89356298*r. Determine f(g(k)).\nAnswer: 178712596*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9286024 - -5?\nAnswer: -928601d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4624*d + 1813. List the prime factors of f(4).\nAnswer: 23, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30340 to the nearest one thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 399*d = 397*d - 3*s + 7, -4*d - s - 11 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 142857 and 75609?\nAnswer: 1200141657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(32\/(-40) - 2\/(-5)). Let t be -3 + 11 - b\/((-30)\/(-24)). Solve -u = -t*g + 15, -4*u = -5*g + 6*g - 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 times 1787\nAnswer: 19657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 15 + (4 - 20) + -19?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**7\/378 - 7*p**6\/270 - p**5\/12 - p**4\/12 - 56*p. Find f such that l(f) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 30 = 26. Let i = -21 - -19. What is the lowest common multiple of (-12 - i)*(0 - 4\/5) and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 11*i - 11. Let z be x(-9). Let m(o) = 3*o - 9. List the prime factors of m(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18792 by 18.\nAnswer: -1044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 367 - -30. Let u = 402 - x. Calculate the remainder when 67 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d - 160 = 148. Which is the second smallest value? (a) d (b) -5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.4, 49, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 310\/(-1100) + (-5)\/(-50). What is the closest to 1 in -0.4, 0, n, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4114 and 10219190.805.\nAnswer: 10215076.805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 6*x = 3*x - 25061, -2*x + 5007 = w. Suppose 2*v - 3*c - 1256 = v, -w = -4*v - c. Does 15 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a + 4. Let q = -4862 + 4858. Let y(c) be the first derivative of -c**4\/4 + c**2\/2 - 3*c - 1. Give q*y(p) - 3*b(p).\nAnswer: 4*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and -123019732309939.\nAnswer: -123019732309942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 320 - 1095826374.\nAnswer: -1095826054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/18 - 123\/(-189). Let y be (-88)\/210 + (-12)\/(-42). Which is the second smallest value? (a) t (b) -0.4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/3))**12)**(-41) assuming n is positive.\nAnswer: n**328","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(484) + sqrt(484))\/((sqrt(72) - sqrt(72)*4) + sqrt(72)).\nAnswer: 11*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -227 + 271. What is the greatest common divisor of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -524 * -0.6.\nAnswer: 314.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128883, 257767, 386651?\nAnswer: 515535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 14. Let b be 14\/(-30) - t\/(-6). What is the closest to -2\/3 in -0.1, b, 3\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/14336 and -83\/10527104.\nAnswer: 168433664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 5*z - 315 + 365, 0 = -30*n - z + 48 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q = 15*q + 5*c - 35018, 0 = q - c - 17523. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 4*i + 5*i - 4*i - 7*i to a*i + o and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -15*q**2 - 7*q. Let i(r) = 10*r**2 - 2*r + 9. Let a(p) = p**2 - 2*p + 3. Let y(k) = -3*a(k) + i(k). Determine -6*n(d) - 11*y(d).\nAnswer: 13*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/3026 and -29\/21182.\nAnswer: 21182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.46695 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 0, -14, -30, -42, -44?\n\"Answer: v**3 - 7*v**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-66 - 10144*i**2 + 67 + 8357*i**2)*(4*i - i - 2*i) as x*i + l*i**3 + c + a*i**2 and give l.\nAnswer: -1787","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -1\/10*c**6 + c**3 - 1\/42*c**7 + 0*c**2 + 11\/12*c**4 - 1 + 3\/20*c**5 - 37*c. Suppose p(j) = 0. Calculate j.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzr when three letters picked without replacement from zreczqt?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25*8\/200)\/(-2 - (-23)\/11) - -89?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + -2 + -5 + sqrt(22)\/sqrt(2)*-3 + sqrt(11).\nAnswer: -7 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/20 of a day?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 142317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1058*n - 70 = 1061*n + 53 for n.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -63*b**2 - 1 - 4*b + 64*b**2 - 9 + 3*b + b**3. Give s(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.830845 to 1 decimal place.\nAnswer: -45.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/104 and 11\/72.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000909852 to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 285 divide 23655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lylllly. What is prob of sequence llll?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-188)*-1*(-25432)\/(-19074).\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 4*l**2 + l - 1. Let g(j) = j**2 + 3*j - 1. Let f be g(2). Suppose -f = 3*h + 3. Give i(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from qwanqalwwqnbqlqww?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -261*q**3 + 112*q**4 - 735 + 2*q + 261*q**3 + 101*q**4 + 60*q**4 wrt q?\nAnswer: 1092*q**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1235, -1237, -1239, -1241, -1243?\nAnswer: -1245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 442692 * 4\nAnswer: 1770768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199*k = 38 - 38. Let h(d) be the second derivative of -17\/20*d**5 - 1\/6*d**4 + k*d**3 + 0 + 0*d**2 - 10*d. Find the third derivative of h(v) wrt v.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 2 + 2*y**4 + (5*y**3 + 0*y**3 - 4*y**3)*(4*y + 0*y - 2*y).\nAnswer: 4*y**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/12 and 113\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 545 (b) -1 (c) 0.4 (d) -4 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 14*v. Let g(f) = -5*f + 3. Let x(q) = 6*q - 4. Let z(c) = 4*g(c) + 3*x(c). Calculate w(z(i)).\nAnswer: -28*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 175740 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58\/(-290) - ((-4)\/(-520))\/((-1)\/(-14))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -21*p**2. Let z(g) be the first derivative of g**2\/2 + 122. Determine z(c(w)).\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-5) + 2*(-4)\/(-40)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyyyhhyhyyhyyy?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19786933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 6*l**2 + 21*l - 46. Let p be f(-9). Solve 0 = a + 5, -4*a + 5*a = 3*u - p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.042 and -13\/81 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 12:11 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 10*x**2 + 10*x - 5. Let k be p(9). Suppose k*h = 3*h + 3. Calculate the remainder when 6 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/24 and -53\/98640.\nAnswer: 98640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + (3 - -2)*-1. Let b be 0\/(2*-2 - t). What are the prime factors of 11 - (b - (-2 - -4))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (5 + (-2 - 10)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 36*x - 4. Let p = 384 - 382. Does 14 divide d(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4560620 divided by 1140155\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 - 3.5. Let w = n + 5. Put 3, -4\/9, w in decreasing order.\nAnswer: 3, w, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(209)*-2)\/(-5*(sqrt(11) - (sqrt(11) - (sqrt(11) - 4*sqrt(11))))).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*y**2*z**2 - 12*y**2 - 7365*z**2 wrt y?\nAnswer: 36*y*z**2 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -6. Let p = g - -4.0005. What is p rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c599d (base 16) to base 9.\nAnswer: 3441557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -142\/47 + 1183\/376. Let m = -46.53 - -47. Which is the closest to 0? (a) u (b) -2 (c) -2\/11 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1584\/66 + (-572)\/24. Let u(h) be the third derivative of m*h**4 + 2\/15*h**5 + 0*h**3 - 27*h**2 + 0 + 0*h. Suppose u(l) = 0. What is l?\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 55\/2 of a year?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*p + 60*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15402 + 15402 + 806*q)*(2 + 5 - 4 + 1 + 2 + 0 + (-2 + 4 - 3)*(-4 - 3 + 5) - 2 + 4 - 4).\nAnswer: 4836*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 21 = -16*c, 0 = 2720*c - 2721*c for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.049 - -0.8.\nAnswer: 0.751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -164, -160, -152, -140, -124, -104, -80?\n\"Answer: 2*k**2 - 2*k - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(2\/5)*y)**5*(y\/y**(2\/7))**(-32) assuming y is positive.\nAnswer: y**(-104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-7308)\/105 + (-8 - -81)\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7510*k**3*y + 21*k**3 + 757*k**2*w**2*y - 44*k**2*w**2 - 8*k + 2*w**2 - 2*w wrt y.\nAnswer: 7510*k**3 + 757*k**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(1 - (-22)\/(-23)). Suppose j - 26 + 83 = 0. Let b = l - j. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 21981?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*(-2)\/(-8) + 14 + 3. Let t = -23 + x. Let r be (12 + t)*(-3)\/9. Put -5\/4, r, -2\/7 in decreasing order.\nAnswer: -2\/7, -5\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.91+-0.10296\nAnswer: -13.01296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -162*d**4 + 29*d**4 - 1871*d**2 + 199*d**2 + d**5 + d**5 - 152*d**4 wrt d.\nAnswer: 120*d**2 - 6840*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + -1 + 5 + -5)**2 - (3 + (sqrt(77)\/(sqrt(22)\/sqrt(2)*-2))**2).\nAnswer: -20*sqrt(7) + 2785\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v + 8*v. Let n = -508 - -511. Solve v = -n*c - c - 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 7*y**2 + 7*y - 43. Let k be i(7). Find the third derivative of -k*a**2 - 141*a**5 + 102*a**5 - 8 + 11*a**2 wrt a.\nAnswer: -2340*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/7 - 10*b**2\/7 + 44*b\/7 - 32\/7.\nAnswer: -2*(b - 2)*(b - 1)*(b + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(3\/4))\/b**(-5))**(2\/27)\/(b\/b**(2\/11)*b**(-1)*b**(-1)\/(b\/(b\/b**(-1)))) assuming b is positive.\nAnswer: b**(15\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -d + 8, -1 = 2*d + 2*d + r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2.1, -9.3 in increasing order.\nAnswer: -9.3, 2.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 6 - 12)*((5 - 4 + 0)*(3 - 3 - 2*r) + 4*r - 4*r + r) to the form g*r + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*t + 28 = 3*w, -3*w + 32 = 5*t. Let s(g) = 9*g - 20 + 3 - w*g**3 + 9*g + 3*g**3 + 12*g**2. What is the tens digit of s(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 21. Let k = b - -3. Suppose -4*m - 5 - k = 0. Sort m, -3, -1.\nAnswer: -3, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7*k**2. Let l = 5 + 0. Let h = 398 - 394. Let i(s) = l*s - 8*s + h*s. Give i(w(b)).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166353147 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32524*s + 22196 with respect to s.\nAnswer: 32524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19303685 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**5\/20 - x**4\/4 - x**3\/2 - 3*x**2\/2 - 5*x. Calculate i(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2391442, -2391443, -2391444, -2391445?\n\"Answer: -q - 2391441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 105 = 3*s, w + 125 = -0*s + 4*s. Let j be (-10)\/(-3) + (-10)\/s. What is the nearest to 2\/7 in -0.4, 1, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5, 23, 57, 97, 143?\n\"Answer: 3*t**2 + 19*t - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -252a + -b?\nAnswer: -2535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -538*p**2*q**2 - p**2*q + 312426*p**2 + 6*p*q**2 - 2*p*q + p + 2227*q**2 + 78*q - 2 wrt p.\nAnswer: -1076*q**2 - 2*q + 624852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*6*(15\/(3510\/(-84)))\/(62\/(-31)).\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 22*g**2 - 47*g - 22. Let u be f(24). Solve -7 = 2*a + o + u*o, 2*o = a - 14 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y - 1. Let u be p(2). Let s = 0 - 6. Let f(j) = 2*j + 14. Let t be f(s). Solve 5*k = 2*r + u, t*k - 3 - 7 = 4*r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90212 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.27 - -0.27. What is the smallest value in u, 1\/4, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -4*q + 16, 1657*m - 8 = -2*q + 1652*m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122 divided by -2.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-220))\/(39\/(-26))*12\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -5 + 3 + 5 + 9 + 2*q. Let v be t(-5). Suppose 2*f - v = 0, f = 2*s + 2*f - 15. What is the highest common factor of s and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 124 and 558?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 10:33 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dlqi when four letters picked without replacement from qqqdkqkli?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from oommomoommmmmomoxomm?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-11 + (-13 + 33 - 13))) + -83?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100 - -110111100100001111?\nAnswer: 110111100101000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-193*l + 101*l + 332*l)*(8*l - 20*l + 0*l**3 + 2*l**3) in the form j*l + x*l**4 + s + u*l**3 + c*l**2 and give x.\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-14))\/((-55)\/10 + 6). What is the nearest to 4 in 2, 3, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 90 - 83. Let r = -39 + 32.4. Let j = r + h. What is the third biggest value in -1\/7, j, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 - ((-77)\/(-7) + -5 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -722625, -722598, -722571, -722544?\nAnswer: -722517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -2*u - 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.77? (a) -5\/3 (b) 0.2 (c) -0.5 (d) 3\/7 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -151, -128, -105, -82, -59, -36?\n\"Answer: 23*o - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3928.\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12\/1007 + 47783\/130910. Calculate the common denominator of 17\/22 and r.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -5*o + 8. Let y(s) be the third derivative of 11*s**4\/24 - 17*s**3\/6 + 10*s**2. What is 13*w(j) + 6*y(j)?\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b**3\/6 + 396349*b**2\/6 - 792701*b\/6 + 132117\/2 = 0. What is b?\nAnswer: -396351, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 16825760 to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 65202.\nAnswer: 65202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28920 is divided by 59?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16933378.\nAnswer: 2, 7, 11, 31, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2715 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 235724903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p + 20*p - 15*p)*(1261 - 547 - 544).\nAnswer: -340*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11233957 divided by 9863.\nAnswer: -1139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8549.\nAnswer: 83, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 832785911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -56*q**3 - 421 + 421 + (-2 + 1 - 2*q**2 - 2)*(-6*q + 2*q + 3*q).\nAnswer: -54*q**3 + 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 3. Let l(k) = 2*k - 3. Let n be l(2). Suppose 5*u - 3*d - 17 = n, -3*u = 2*d - 7. Suppose u*z + 9 = -6. Give w(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280198*p - 280279*p = -1215 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 294*b - 1175. Let n be y(4). Suppose 2*o + 13 - 1 = 0. Let s be (-22)\/((o - -4)*n). Solve -s = -2*q - 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x**4\/5 + 4*x**3 - 18*x**2\/5 + 4*x\/5 = 0.\nAnswer: 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 397161.7?\nAnswer: 397161.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, v: 9}. Give prob of sequence uvvv.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 6:47 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -73160 + 105785. Is y a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7348768 + -7348687.07802. Let k = f + -80.9. What is k rounded to three dps?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -19 + g**2 - 25*g + 50*g - 21*g. Let i be c(-7). Let k be 3*i\/12*2. What is the nearest to k in -0.2, 2\/11, 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 2*n + 4. Let x be v(4). Let l(t) = t**2 - 7*t - 11. Let a be l(8). List the prime factors of (3 - -8) + (a - x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21868213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 4:14 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 12:40 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 12:06 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-128)\/(-32)*2\/60?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/59?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, 3\/7, 0.078, -3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.5 + -1.55. Let v = -0.05 - m. Let h = 0.3 - 0.2. Which is the second smallest value? (a) -3 (b) h (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 209544?\nAnswer: 5\/209544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -266.7 + 266.76. Is d <= 0.83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 416, -1, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 523*j - 211 - 199 + 389.\nAnswer: 523*j - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 139 and 609376.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 20. Let a(k) = -14*k - 11*k - 4*k + 29*k + 5*k**2 + 5. Let n be a(c). Solve 0 = n*g + z + 3 - 2, 4*g - 2*z = 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-1658)\/248 + 85\/(-340).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125128261 divided by 1169423.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/(-7))\/((-12)\/14))\/(18\/297)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 15253*s - 2 = -15255*s, -3 = -2*r - s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 437887065?\nAnswer: 3, 5, 7, 11, 379123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 427 = -401. Suppose -249 = -4*a + d, -4*d + f = 3*a - a. Calculate the lowest common multiple of 21 and a.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (2 - (2 + 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m, 5*j + 90 = -2*m + 6*m. Let q = -202 - -211. What is the lowest common multiple of q and ((-1)\/(-2))\/((-1)\/j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 2\/15853 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 115 + -1033\/9. Let v = -14\/39 - -76\/429. What is the biggest value in v, 1\/3, p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 9*s - 17. Let l = 96 + -90. Suppose -24 - l = -5*x. Let y be v(x). Is 5\/22 >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6017 + -6017. Let d be ((-9)\/6)\/(3\/(-4)). Sort -4, d, 5, w in descending order.\nAnswer: 5, d, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68090)\/5775 + (-14)\/(-2) - 309\/4635?\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 3:14 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afqarqrannaqarafrfrr. Give prob of sequence qn.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 308500 * -3.3.\nAnswer: -1018050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/18)\/(450\/(-135))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o*o**(-16)*o*o)*o\/o**1*o**(-1\/4)\/(o*o**(-7\/6)*o))**(-20) assuming o is positive.\nAnswer: o**(-835\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -125*h**2. Let o(r) = 5*r + 5*r + 6*r - 13*r - r. What is v(o(f))?\nAnswer: -500*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 12 = 4*o. Suppose 0 = 5*z + 2*u - 102, o*z + 2*u - 80 = -z. Calculate the lowest common multiple of z and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -5*n**6\/12 + n**5 - 5*n**3\/3 + 5*n**2\/4 - 23. Determine u so that z(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t + 35 + 5 = 0. Suppose 2*h - 14 = -t*j, -15 = -2*j + 4*h + 23. What is the lowest common multiple of 45 and j?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 247065414?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 2*c**2 - 3*c. Let s be r(-3). Suppose -5*z = -3*a - 1064, -2*z + 4*z - 5*a - 437 = s. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247485 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -3 + 1\/(-1) - -8 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(63)\/(sqrt(9)*1) - (sqrt(28)\/sqrt(4) + -4)) + 5 + -5 + -3*1*sqrt(1008) + -4)**2.\nAnswer: -216*sqrt(7) + 9081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v = 5*l + 12*v + 13, 0 = 4*l + 4*v + 12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47\/60 + -7\/12. 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: Two letters picked without replacement from {z: 6, k: 7}. What is prob of picking 1 z and 1 k?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -129?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q - 6*q + 2*q. Let m(t) be the third derivative of 1\/60*t**5 + 0*t + 0*t**4 + 7*t**2 + 0*t**3 + 0. Give m(l(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 940 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -149 - -182. Let l be -2 - 0 - (-1 + 23). Let f = -13 - l. What is the greatest common divisor of n and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -11*t - 4. Let k(l) = -32*l - 12. Suppose 16 = -3*g + 5*g. Let j(q) = g*d(q) - 3*k(q). Does 14 divide j(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000030100489 rounded to 7 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3245318 - 11.1\nAnswer: -3245329.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 = -1253*r + 1259*r + 17 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -39083, -39097, -39121, -39155, -39199, -39253, -39317?\n\"Answer: -5*c**2 + c - 39079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (850\/25)\/(-306)*2*15\/3?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -953 in descending order.\nAnswer: 4, 0, -953","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 330776 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -8494450.\nAnswer: -8494455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -35*g + 10. Let o(n) = -23*n + 5. Let j(s) = k(s) - 2*o(s). Let x(m) = 560*m. Calculate j(x(c)).\nAnswer: 6160*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -h**4\/10 + 2*h**3 - 15*h**2 + 50*h + 39. Factor c(i).\nAnswer: -2*(i - 5)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 3:48 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*n, 3*n + 0*n - 10 = -j. Let w(o) = o**3 + 11*o**2 - 12*o - 23. Let i = -20 - -9. What is the remainder when w(i) is divided by j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53135 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 21 = -f. Let i(n) = -22 - 15*n**2 + 4 + 3 + 29*n**3 - 56*n**f. Let w(d) = 7*d**3 + 4*d**2 + 4. Determine -4*i(u) - 15*w(u).\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -5*x + 4. Let j(a) = 9*a - 7. Let n(g) = 3*j(g) + 5*q(g). Suppose -1 = -u - 5. Let k(s) = -s - 5. Let p be k(u). Give n(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-273)\/(-312)*32\/14.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l - 7*l - 2*l**2 + 4*l in the form j*l + r*l**2 + z and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22028\/5 - -4492. Let d = r + -86. Factor -d*p**4 + 4\/5*p**2 + 0*p + 0*p**3 - 2\/5.\nAnswer: -2*(p - 1)**2*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of q**6\/3 + 4*q**5\/5 - 1447*q**4\/4 - 5*q**2 + 130*q + 12585. Find the second derivative of i(p) wrt p.\nAnswer: 40*p**3 + 48*p**2 - 8682*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5909232 - 2?\nAnswer: 5909230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 divided by -8?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1734 - -1734. Let a(n) be the first derivative of w*n - 140\/3*n**3 - 75\/2*n**4 + 15 - 9*n**5 - 20*n**2. Find g, given that a(g) = 0.\nAnswer: -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 y, and 1 c when three letters picked without replacement from acryvvy?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.428 - -1.428017308. What is i rounded to seven dps?\nAnswer: 0.0000173","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {o: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.38 + -0.02. Let g = 0.8 + y. Let l = g + -0.4. Which is the closest to -0.1? (a) l (b) 4\/7 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 102 and 0.6.\nAnswer: 61.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxu when three letters picked without replacement from {m: 8, x: 7, u: 5}.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of ((-2944)\/40)\/((-2)\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -886 divided by -443?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from msxuxxxumuxmxmuusu. Give prob of sequence umu.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 14 + 26*b + 23*b + 4 - 78*b + 15*b. Suppose 13 = 4*y - 35. Determine w(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/10)\/(182\/(-195)*-1).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1097, 2162, 3207, 4220, 5189, 6102, 6947, 7712?\n\"Answer: -2*b**3 + 2*b**2 + 1073*b + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l = -6 - 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {g: 13, y: 6}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + d + 2*d)*(2 + 2*d - 2) + (4*d + 10 - 10)*(-2*d - 4*d + 4*d).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5cbd (base 16) in base 10?\nAnswer: -23741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1600950 by 1950.\nAnswer: -821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/6 - 299*o\/6 + 528.\nAnswer: (o - 288)*(o - 11)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + 4.1. Let s be (-142)\/14 - 2\/(-14). Let r(f) = -f**3 - 10*f**2 - f - 11. Let m be r(s). Which is the nearest to m? (a) g (b) -4 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/2 - 139*h\/3 + 287\/2.\nAnswer: -(h - 3)*(3*h + 287)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 10*d**2 + d + 2. Calculate i(2).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1332 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6019888 or 0?\nAnswer: 6019888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(24)\/sqrt(4))\/sqrt(3).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 8*n + 12 = 0. What is the derivative of v**2 - 10 + 0*v**2 + 4*v**n wrt v?\nAnswer: 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -107855374751\/13261722 + 2\/2210287. Let d = 8151 + c. Let s = -11221\/204 - -792\/17. Calculate the common denominator of s and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46331 - 10171 = 1130*c for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 38\/209*(-1155)\/(-1120)\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000038966006 rounded to seven decimal places?\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, -181, 0, 54?\nAnswer: -181","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-15))\/6 + (-11730)\/150 + 9\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08969 to 3 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 992723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -0 - 10, -6*d + z + 22 = -5*d - 9*d + 6*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 234254 (base 7) in base 8?\nAnswer: 122526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -42d1d?\nAnswer: -42d18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2290555 divided by -1?\nAnswer: 2290555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1912569 by 249.\nAnswer: 7681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -25.\nAnswer: -12\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 7*b + 48 = 0. Is b\/(-6)*(-45)\/(-6) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 299862?\nAnswer: 599724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence of when two letters picked without replacement from {o: 2, f: 5, w: 3}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -459, -995, -1673, -2565, -3743, -5279, -7245, -9713?\n\"Answer: -12*i**3 + i**2 - 455*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-100)\/(-125)*(369 - (-2 + 1)). Let m be r*-1*-1 - -1. Suppose -4*a = 2*v - 0*a - 50, 2*v = 4*a + 58. Calculate the greatest common factor of m and v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = l - 1020009, 4*g + 3059988 = 3*l - 0*l. What is l rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6395)\/(-6) - (-3)\/18. Suppose -c + 272 = -2*b, -3*c + o = 3*b + 268. Suppose p - c = -3*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.9122341 rounded to 0 decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 582*w**5 + 2*w**3 + 247*w**2.\nAnswer: 34920*w**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + v + 6, o = -0*o - 3*v - 14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + 0.1. Let f = 28 + -27.9. What is the closest to f in z, 2\/5, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 0*w**2 - 4\/9*w**3 + 1\/6*w**4 - 1\/3*w**6 + 5 + 8\/15*w**5 + 0*w. Determine h, given that t(h) = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-5)\/z))\/(z**(2\/5)\/z)*(z\/(z\/(z\/(z**5*z))))\/z**(-2\/7) assuming z is positive.\nAnswer: z**(101\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(((m*m**0)\/m)\/m*m)\/m*m*m**(2\/15))\/(m\/(m*m**(-3\/5))*m**(-2\/21)\/m)*((m\/m**(-5))\/m**4)**19 assuming m is positive.\nAnswer: m**(1387\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40574 is divided by 286.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 206 + -454. Let s = 743\/3 + m. Suppose -3*j + j + 32 = 0. Put s, j, 3\/8 in increasing order.\nAnswer: s, 3\/8, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 12) to base 16.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = 14*g + 222. What is the remainder when 244 is divided by 2*1\/2*(-12 - g)?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/21 + 1648\/336\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*p = -17, -3*q - 14 = 3*p - 7*p. Solve 0 = -0*k + q*k + 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 8. Suppose 69 + 569 = 29*x. What is the highest common factor of x and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 17*w**2 - 25*w - 12. Let o = -246 - -265. What are the prime factors of b(o)?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x + 8. Let y be l(4). Is 0 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -f + 6*c - 3*c, 27 = 3*f + 3*c. Let s(h) = 53*h - 363. Let j be s(f). Solve j = -4*b - 12 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 1, -1270, -5, 0 in descending order.\nAnswer: 1, 1\/3, 0, -5, -1270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 0) + (-605)\/165 + 8\/12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154347 is divided by 288.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 60, 71, 82?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42852095 and 42705.\nAnswer: 385668855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82 or 641?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (124\/310*(-2)\/(-218))\/(1\/(-5))?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**2 + 6*h + 2. Let f be j(5). Suppose y - k + 41 = 3*y, 4*y = 3*k + f. What are the prime factors of y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**2. Let z = -2844 - -2846. Suppose -2*u - u + 15 = 0. Let q(t) = -z*t + u*t + 2*t. Give q(a(k)).\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -c - 2*k, -3*c - 3*k = -2 + 5. Suppose c = -2*s - 0 + 6. Differentiate 2 + 4*u + 0 - s*u with respect to u.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rifp when four letters picked without replacement from {i: 2, p: 1, f: 1, r: 1, x: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/3*((-24)\/40)\/((-22)\/(-22))?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**3 - 3383336*i**2 + 2576295.\nAnswer: 6*i**2 - 6766672*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32040013 - -3210?\nAnswer: 32043223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*d + 40*d + 1620 = -133*d for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*o - 12 = 0. What is the smallest value in 2\/11, -0.1, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 5*f = -28, 0 = h - 0*f + f - 8 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 12*j**2 + 5172*j - 25680. Determine x(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.37 + -12.84. Let l = -22 - i. Let n = 3.21 - l. Is n less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 + s - 55. Determine u(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -64 and 27.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -30, -49, -68, -87?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -75969.05 to the nearest one thousand.\nAnswer: -76000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.02, -14.05, 0, 1, 0.088?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78890)\/1645 - (-78)\/(-1833).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/10 - 440\/176. Suppose -s - 17 = -4*k, 4*s - 5*k + 8 = -k. Put s, 5, t in increasing order.\nAnswer: t, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence os when two letters picked without replacement from {o: 1, f: 2, s: 2, d: 1, u: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 13 = -c, -3 + 6 = 3*c - 2*v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 5*y**2 + 6*y + 37. Let j be b(-4). Put 120, 2, j in decreasing order.\nAnswer: 120, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -9. Which is smaller: -2\/3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((6\/(-4))\/((216\/12)\/2)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2750 and 27980150.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 + 2.8. Let z be (3 + 2 + -11)*1. Let r be z\/9*3\/7. What is the biggest value in r, x, -1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {x: 4, j: 6, t: 1, v: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 1:35 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17238.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41*w**4 - w**3 + 205*w**2 - 2.\nAnswer: -984*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -58*w + 118. Let g be b(2). Suppose -9 = -3*l - j, -3 = -2*l - 2*j - 1. Suppose -2*d + 3*c = -27, 30 = l*d + 3*c - c. Solve -z = g*z - d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 5*z**2 - 4*z + 4. Let g be j(4). Suppose -87 = -116*d + 97 + 47 + 813. Solve g*n + d = 5*q, -3*n - 4 = -4*n - 5*q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 + -44. What is the closest to j in -0.5, 0.5, 0.15?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4452*z + 8089. Let k(i) = -14245*i + 25885. Let c(b) = -11*k(b) + 35*t(b). Differentiate c(x) wrt x.\nAnswer: 875","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -20*x**2 - 14*x + 17. Let u(y) = 7*y**2 + 4 - 26 + 12 + 4 + 5*y. What is -6*f(s) - 17*u(s)?\nAnswer: s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z**2 - 29*z - 2. Let f be p(6). Suppose 0*h = f*h - y - 525, 5*h - y - 656 = 0. 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 prob of sequence tj when two letters picked without replacement from {t: 2, f: 4, d: 1, j: 2, c: 6}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7 - -4) + (2 - 0). Let y = 5963\/126 + -424\/9. What is the nearest to 2 in a, 2, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y + 2*y**3 - 4*y + (5*y - 4*y - 3*y)*(y**2 + 3*y**2 - 3*y**2) + y**3 - 4*y + 4*y + (y**2 - 3*y**2 + 0*y**2)*(27*y - 16*y - 16*y).\nAnswer: 11*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 a factor of 6030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*d - 2*x, -2*x = 6*d - 11*d + 30. Suppose d*i - 116310 = -0*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10696 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-7 - (-181)\/1)\/10 + -5 and (-14)\/(-49) + (-2556)\/224?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.1 + -5.1. Which is the second smallest value? (a) -3 (b) -0.5 (c) 1\/6 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -3. Calculate the smallest common multiple of 4 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.017 + -0.647. Let d = o - -0.630078. What is d rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v - 10. Let c be n(0). Let a = 13 + c. Suppose 2*y = -m + 115, y = -6*m + a*m + 60. Does 21 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105.7 plus 0.2?\nAnswer: -105.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.3 + 3.7. Suppose 5*z + 3 = 3*d - 2*d, -2*z - 2 = 0. Is d > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hkhqghkwhkhhh. What is prob of sequence qhwk?\nAnswer: 7\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 828 + -802. Let v = w - -291. List the prime factors of v.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*k + 939, 0 = 3*k + 6*x - 2*x - 945. Let w = k + -2174\/7. What is z in 3\/7*z + 0 - 1\/7*z**4 - w*z**3 + 1\/7*z**2 = 0?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -37 + -1?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 s when three letters picked without replacement from {s: 2, b: 3, f: 15}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-56)\/616)\/((-2)\/22))\/(119\/14).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 134537 a multiple of 587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1339 and 20584859.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3463, 6688, 9915, 13144?\n\"Answer: s**2 + 3222*s + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3184091539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17717, 17512, 17307, 17102?\nAnswer: 16897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - d = 35, -2*h + 6*d + 22 = 5*d. Solve -8*a + 35 = -h*a - 4*t, -a + 5*t + 22 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 1\/30*w**6 + 16\/3*w**4 + 0*w**2 + 0 + 0*w**3 + 1\/4*w**5 - 56*w. Find the third derivative of p(b) wrt b.\nAnswer: 24*b + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120372 and 2172?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1945849, -3891693, -5837537?\nAnswer: -7783381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 495 and 3378420.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 902338526.\nAnswer: 2, 1693, 266491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 636 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95043570 to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3*(0 + sqrt(500) + (sqrt(80)\/sqrt(4))**2 + -4) + 4.\nAnswer: 52 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110011001110101010111 (base 2) to base 5.\nAnswer: -412204204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 29*o**2 - 38*o + 43 - 17*o**2 - 11*o**2. Let w be c(37). Solve -3*y = -w*y + 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75414.9m to nanometers.\nAnswer: 75414900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -5*q**2. Let w(u) be the first derivative of -u**5\/40 + 7*u**3\/3 - 5. Let m(p) be the third derivative of w(p). Determine m(f(o)).\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide 1396187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - (-372)\/18)\/((-4)\/126) - 0.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1*2584488\/120 - (-3)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1396 - -1396. Suppose -v - 3*v - 3*d = 1, -5*v - 5*d = 0. Let b = 2 + v. What is the smallest value in -3, b, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3903?\nAnswer: 3, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -990, -983, -972, -957, -938, -915?\nAnswer: -888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 15*s - 4. Let l(n) = -42 + 251 + 288*n - 1067*n. Calculate 4*l(m) + 209*p(m).\nAnswer: 19*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 11:13 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1040283 to the nearest integer?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*u = -5*w - 110, -10 = 2*u. Let g be (0 - -1)\/(6\/w). Is 9 a factor of (2 + -1 + 20)\/(g\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/5167 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*r = 188*r + 844 + 1586 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 578*i**4\/11 - 1972*i**3\/11 + 2498*i**2\/11 - 1392*i\/11 + 288\/11 = 0 for i.\nAnswer: 12\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -79, 0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 5, 3, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*r + 560 = -13*r. Calculate the lowest common multiple of 266 and r.\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -280 + 314. What is the remainder when 203 is divided by d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.063 - 0.923. Round y to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/24*5\/((-5)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 376313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r - 4*r - 4*r + 4*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 152*v + 5614. What is m(97)?\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by 11\nAnswer: 40\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/54*(-216)\/40.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -409199.1 and 0.6.\nAnswer: -245519.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2324 - -6759. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddevdvdddedz. What is prob of picking 1 e and 1 d?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144514145 (base 6) to base 8.\nAnswer: -13430221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 13*a**2 + 7*a - 1. What are the prime factors of y(3)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 210 and 45442140?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 682*d = 703*d - 21. Calculate the smallest common multiple of 78 and d.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.66322l to millilitres.\nAnswer: 46663.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2214640 to the power of 1\/3, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -21, -2 in decreasing order.\nAnswer: 5, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 4:31 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 2*w + 2 + 3*w)*(-5 + 0 + 2)*(1 + 0 - 2) + w + 25*w - 4*w.\nAnswer: 31*w + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 2*a = 3, -3*a = 2*n - 0*a - 11 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (979\/(-44))\/((4\/72)\/(6*(-15)\/405))?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2917723?\nAnswer: 2917723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 54300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2771*n - 85. Let h(d) = -66*d + 2. What is -85*h(p) - 2*r(p)?\nAnswer: 68*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(3\/5)*w)\/((w**(-8)\/w)\/w*w)*(w**2*w)\/w**(-1) assuming w is positive.\nAnswer: w**(83\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8737950361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 782 = 2*o, 3*f + 2*f - 970 = -5*o. Suppose -7 = -2*b + 3. Suppose f = -0*g + b*g. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/150*-6)\/((-1)\/(-5))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1678549\/9 - 186251. Let j = l + -254. Does j = 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 + 6*t**2 + 3*t**2.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 92632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 5)*(-2 + 3 - 3 + (-1 + 1 + 1)*(-4 + 4 - 6) + 5 - 4 - 3)*(-2*f**2 - 2*f**2 + 2*f**2)*(-3 + 3 + 2) as o*f**2 + m*f + y and give o.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/5 - (-34)\/10. Factor -4*y**3 + r + 16*y + 2*y**4 - 6*y**2 + 5 - 8*y.\nAnswer: 2*(y - 2)**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1725 (base 10) to base 9.\nAnswer: -2326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65016066425438373 + 65016071002877828.99999882. Let t = -4577439413 + a. Let l = t - 43. Round l to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 4*z - 3. Let r be i(4). Let c(m) = -m. Let y be c(r). Suppose y*q + 3*n = 39, 2*q - 38 = -0*q + 2*n. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 2)*(-10*s - 6*s - 5*s)*(5*s**2 - 7*s**2 + 8*s**2) to p + f*s**3 + o*s**2 + q*s and give f.\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - a**2 + a + 1. Let w(x) = 3*x**3 + 6*x**2 - 2*x - 2. Let s(u) = 2*t(u) + w(u). Suppose s(o) = 0. Calculate o.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 953 + 918 + 480*b**2 - 2050 wrt b.\nAnswer: 960*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/169725 and -59\/69765.\nAnswer: 789390975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2045 = 5*k, 196*p - 4*k - 4096 = 194*p. Which is smaller: 2052 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-1))**(12\/17)*b**0*b**3)**30 assuming b is positive.\nAnswer: b**(2250\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 1438*v - 5711536 + 5711536. Let h(x) = x. Determine r(h(w)).\nAnswer: 1438*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 83348 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: Which is the fourth biggest value? (a) 0.14 (b) -0.1 (c) -0.2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 16 = -4*g. Let s(n) = -13*n + 38*n + 0 - g + 1. Let v(a) = 51*a - 29. Let w(d) = -5*s(d) + 2*v(d). What is the first derivative of w(r) wrt r?\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2490.353 + -2489. Let n = 2.686 - c. Let f = -1.46 + n. Round f to two dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 + 12 + -3 + 1 + -14\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**3 - 404*t**2 + 404*t**2.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0142665 to four dps.\nAnswer: -0.0143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sr when two letters picked without replacement from {q: 2, r: 5, w: 3, s: 5}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 10*k**2 + 1. Suppose -4*j - 4 = -0*j - 4*u, 0 = j + 2*u - 5. Suppose -2*v = 5 - 19. Calculate the least common multiple of m(j) and v.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 21, 54, 97, 150, 213, 286?\n\"Answer: 5*y**2 + 18*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 106 = -101, -2*r + 13 = -5*w for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70047797?\nAnswer: 683, 102559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - l + 4. Let h be o(-3). Let w = 4 - h. What is the least common multiple of w and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 34*s + 15*s**2 - 19*s + 6 + 15 + s**3. Calculate the remainder when j(-14) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*w + 1211 + 1189. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 836 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/8*92\/69)\/(1\/(-87))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**2. Suppose -4*s - 2 = -10. Let i(p) = -12 + s*p + 12. Calculate z(i(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -3 + 0 + 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -2517 and -2515 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -q**4\/8 - 7*q**2. Let z(r) = -r. Calculate z(b(c)).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3935 - 6 - (-4 - -6))\/((-3)\/6).\nAnswer: 2, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -7*o + 4. Suppose 0 = 5*s - 2*w + 26, -2*s + 6 = w + 11. Determine b(s).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-95)\/7220*-76)\/(2\/(-76)*2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 537 + -200. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -78*c + 11636147 + 25593331. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/19)\/o*o**3)\/(o**(-1\/4))**(-10) assuming o is positive.\nAnswer: o**(-15\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 + 8*p + 7*p - 1276 - 1349 + 3*p + 2559.\nAnswer: -5*p**2 + 18*p - 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3833, 4308, 4647, 4850, 4917, 4848?\nAnswer: 4643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 1a7785a8?\nAnswer: 1a7785a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3095 is divided by 119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.46 + -0.06. Let f = 1431 + -2863\/2. What is the nearest to -0.1 in f, a, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20*(1\/(-15))\/(71\/213).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*s + 0*s + 6*s - 4303 + 6*s + 6*s as p + j*s and give p.\nAnswer: -4303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five eighths of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12935255?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 10 + 15 = 15*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1408 - -2031. What are the prime factors of b?\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-12)*m)\/(m*m\/m**21))\/((m**14\/m)\/m*m)**(-6\/7) assuming m is positive.\nAnswer: m**(134\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -382 + 3*z - 372 + 1130 - 376.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/(36\/8) + 7. Let l = -3 + c. What is the second derivative of 3*v - v**5 - 3*v**3 - l*v**5 + 3*v**3 wrt v?\nAnswer: -140*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 501 + -452064823.\nAnswer: -452064322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 7*r**2 + 358*r - 114517. Give n(-156).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 1 + 1)*14. Let n = b + 25. Solve 0*h = 3*q - 5*h + n, -4*q + 2*h = -4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**4 - 2*j**4 + 2*j**4)*(0 + 1 - 2 + (2 - 1 + 1)*(0 - 1 - 2)) + (-3*j - 3*j + 4*j)*(-4640*j**3 + 4541*j**3 + 5933*j**3).\nAnswer: -11661*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*j + 33*j - w + 36, -3*j + 4*w + 66 = 0. Calculate the remainder when 107 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 19*v**2 + 5*v - 4. Let s be w(4). Let g be 3*(0 - (-4)\/6). Suppose g*q + 2*q = s. Round q to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 19695*g**2 - 10*g + 13. Is d(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a328 (base 16) in base 8?\nAnswer: -521450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-4\/9)\/(x\/(x\/(x\/x**(-3\/22)))) assuming x is positive.\nAnswer: x**(-313\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 341349, 341354, 341359, 341364?\n\"Answer: 5*z + 341344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2*l)*(25*l**2 + 5*l**2 - 3*l**2)*(4*l - l - l) to n*l**2 + c + s*l + h*l**3 + x*l**4 and give x.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - 6 + 3 + 31.\nAnswer: u + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h - 15. Determine m(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5 = 2*i - 2*s, 4*i + 4*s - 4 = 0. Suppose 0 = k + i*k - 1085. Let f = k + -140. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1554862?\nAnswer: 2, 777431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**2 - 3009 + 3009 + 4*w + w + 6*w**3 - 5*w.\nAnswer: 6*w**3 + 8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -139773, 1\/5, -2.8, 1\/2, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 173 + -140. Calculate the least common multiple of 51 and c.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - j**2 - 4. Let n be p(0). Let q be 2*-10*5\/(-20). Let u be (19 + -15)*1\/(-4). Which is the closest to u? (a) n (b) -3\/2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 0*j. Let q = 4 + -2. Suppose -3*l - 2*m + 2 = 1, 0 = 2*l - q*m - 14. Solve j*b + y = 4*b + 14, -6 = l*y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*f + 185*f - 71*f - 121 = n, n + 31 = 2*f for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-452)\/156 + 3)*(-3)\/(-2). Let g = 24.018 + -0.018. Which is the second biggest value? (a) 0 (b) g (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -1935*g + 7785. Let d be v(4). Solve 9*z + 5*k - d = 4*z, 2*k = 5*z - 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/2 - 4752111*u**2 - 19008441*u\/2 - 4752110.\nAnswer: -(u + 1)**2*(u + 9504220)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 81*k + 82. Give g(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 1\/4*s**4 + 0 - 9\/20*s**5 + 3\/2*s**3 - 1\/5*s**6 + 3\/2*s**2 - 14*s. Suppose h(f) = 0. What is f?\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**2 - 1 + 1)*(-13*d - 19*d - 6*d)*(-4 + 4 - 3*d) as m*d**3 + j*d**4 + z + g*d**2 + h*d and give j.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 970*k. Let f(q) = -2*q**2. Determine i(f(h)).\nAnswer: -1940*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l + 14*l + 3*l - 18*l - 3*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -484536 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/28 + 405\/63.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/38 or 1982141?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.855 - -0.549. Let c = 0.308879 + y. What is c rounded to four dps?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1532, -53204, 2 in decreasing order.\nAnswer: 2, -1532, -53204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03926524 rounded to 3 decimal places?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**6 - 6330*a**3 - 141267*a**2 wrt a?\nAnswer: -120*a**3 - 37980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 1302 = 11*f. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 + k + 21. Let o be p(9). Let c(l) = 0*l - l + o - 192. Let g(v) = 33*v**2. Calculate c(g(i)).\nAnswer: -33*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(343) + 0)*-1 - (5 + (((sqrt(84) - sqrt(21)) + sqrt(21))\/sqrt(3) - (sqrt(784)\/sqrt(7) + sqrt(7))))) + -5.\nAnswer: -18*sqrt(7) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -4, -101.\nAnswer: -101, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1303, -1308, -1313?\nAnswer: -1318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.10308*0.44\nAnswer: -0.0453552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0117874884 to 4 dps.\nAnswer: -0.0118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 1\/2, 2, -343, -2\/13, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6494 divide 452768174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-1)*(-4)\/18.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2356 - 1343. Let i = 1013.619 - d. Round i to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -4*l**4 + 508*l**3 - 4716*l**2 + 4212*l = 0.\nAnswer: 0, 1, 9, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t - 2. Let s(x) be the first derivative of x + 43. Let l(j) = h(j) - 4*s(j). Give l(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -612.095 rounded to the nearest ten?\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -4*l + 7, -4 = -3*q - 4*l for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13594 and 151?\nAnswer: 2052694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 663, 664, 665, 666, 667?\nAnswer: 668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4787369 is divided by 105?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkc when three letters picked without replacement from {c: 1, r: 1, h: 8, v: 1, k: 1, g: 2}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**12\/t)**(2\/23) assuming t is positive.\nAnswer: t**(22\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 300*d**5\/7 - 3052620*d**4\/7 + 1046121*d**3 + 2489364*d**2 + 8148465*d\/7 + 1098684\/7 = 0. Calculate d.\nAnswer: -1, -3\/10, 4, 10173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j**2. Suppose l = -7*l + 24. Let d(t) be the second derivative of 1\/6*t**4 + 0*t**2 + 0*t**l + t + 0. What is d(v(k))?\nAnswer: 50*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*m - 33*m - 70 = 0. Is m smaller than 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3128.92 to the nearest 10.\nAnswer: -3130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329381 is divided by 2346.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 9 - 49. Let z be 1\/(1\/(d - 1)). Let v(u) = u**2 - 3*u - 7. Let g be v(5). Solve 0 = 5*q - 2*w - 6, z = g*q + w - 4*w for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102121222 - -1?\nAnswer: 1102122000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of 11*l**7\/210 + 2*l**3\/3 - 23*l**2. What is the derivative of u(n) wrt n?\nAnswer: 44*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 7:22 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert b11 (base 14) to base 6.\nAnswer: 14015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(-6) + -19 + 1071\/54?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 7*t = -5*t - 2, -4*z + t = 11 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15820266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*n + 11 = 0, 5*l + n = 2*n - 11. Let w be l + (10 - (-1 + 2)). Suppose w + 157 = 4*a. What are the prime factors of a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*p - 30 = -8, -o + 2*p = 0. What is the nearest to 0.1 in 1, 0.2, o, -0.29?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m + 10*m - 3*m)*(0*m + 0*m - 3*m + (2 - 4 + 3)*(-3*m + 4*m - 2*m)).\nAnswer: -44*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3860433*b**3*s**2 - 17*b**3*s + 581307*b**2*s wrt s.\nAnswer: 7720866*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (171*r**3 - r**2 + 0*r**2 - 54*r**3)*(-3 + 5 + 5)*(0 + 0 + 1).\nAnswer: 819*r**3 - 7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 30*l**2 - 22*l - 154. Is s(28) a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 21 = 27. Which is the closest to 1\/3? (a) 3 (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 205 + -207. Is -26 + 21 - (-38 - o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 126.07 + -4.87. Let l = b - 107. What is l rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 13) to base 14.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7697 + 55078 = -2511*i for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 2341 - 2368 = -3*j, -5*j = 5*i - 40 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -11*v + 4 + 29*v - 2*v**2 - 30*v. Let j(k) = 2*k**2 + 13*k - 5. Calculate -4*j(q) - 5*w(q).\nAnswer: 2*q**2 + 8*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-5)*o*o**2*(o**5\/o*o)\/o*o**(-3)*(o**5*(o**2\/o)\/o)**31 assuming o is positive.\nAnswer: o**154","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 388, -0.4, -273, -3\/7 in ascending order.\nAnswer: -273, -3\/7, -0.4, 5, 388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 90 = 5*h, 2*h + 66 + 10 = -5*x. Let k = 3 - x. Suppose -w - 42 = -4*v, 0*v - k = -v - 4*w. Solve -4 - v = -5*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 + -7791a?\nAnswer: -7790a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(11\/6)\/s**(-3) assuming s is positive.\nAnswer: s**(29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 - 4981*r**2 - 3858439*r + 6314408685.\nAnswer: -(r - 765)*(r + 2873)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1015 and 15950?\nAnswer: 111650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooopoooooo. Give prob of sequence poo.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13930, -13927, -13924?\nAnswer: -13921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41711?\nAnswer: 53, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from opynpnkkyokppkynkkoy. What is prob of picking 2 o and 1 p?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 5*q = -12 + 118, 39*p + 3*q - 234 = -3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - o = 11*o + 17 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 15*w**2 + 7*w + 250. Calculate a(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 1 - 5, -x = g + 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 2:43 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/25)*w)\/w**5)\/(w*w**(-2\/9)*w**12) assuming w is positive.\nAnswer: w**(-3757\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 c when two letters picked without replacement from kbkckcbbccbc?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 + -0.2. Let i = 10.93 + -11. Let l = -0.03 + i. What is the smallest value in 1\/3, r, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (5 + (-2 - (-2 - -4))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1283910 is divided by 12839?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 42*t**2 - 33*t + 324. Determine w(-41).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/5927427 and 161\/86217120.\nAnswer: 948388320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + c - 339 = 0, 0 = 4*y - c + 5*c - 348. Calculate the greatest common factor of y and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**2 + 148326*j - 296654. Determine h(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-12) - 13\/39. Which is the nearest to -1\/2? (a) i (b) 11.2 (c) -5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 9, 3, 8, 2, 2\/105?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -455 (base 16) to base 11.\nAnswer: -919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -506*p + 1018 - 220 = -107*p. Find u, given that -242\/9 - 2\/9*u**p + 44\/9*u = 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203056011 (base 7) to base 11.\nAnswer: -679611a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmum when four letters picked without replacement from {h: 3, j: 2, u: 2, m: 2, l: 6}.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/3772 and 107\/40183854.\nAnswer: 1848457284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 + x**3 + 0*x**3)*((-5 + 3 + 3)*(0 + 0 + 2) + 2 - 2 + 4).\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a litre in millilitres?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) 8249 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 787.843 to 0 decimal places.\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 97*y + 76 wrt y?\nAnswer: 97","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-60)\/18 - (-1)\/(-3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 + 10*z**2 + 3. Calculate v(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 188437, 375565, 562667, 749731, 936745, 1123697, 1310575?\nAnswer: 1497367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2. Let d(c) = -3*c**2 + 1. What is -3*d(v) - 5*k(v)?\nAnswer: 4*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**10\/151200 - h**6\/72 + h**5\/6 - 9*h**2. Let j(x) be the third derivative of v(x). What is the derivative of j(m) wrt m?\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2920?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -i - 2*i + 2, -70 = -5*x - i. Suppose 6*w = -x*w. Solve -13 = -f - w*f + 2*l, 2*l + 8 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**4\/24 + x**3\/3 - x**2 - 76. Determine k(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**5\/60 + y**4\/4 + 17*y**3\/6 + 28*y**2 + 2*y. Is n(10) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 2\/3*9. Suppose n*y - 55 = -7. Calculate the remainder when y is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64668 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -21.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/88259169 and -91\/1312404?\nAnswer: 353036676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 + 22*r - 27. What is j(-12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 = -4*h + 2*w + 12, w = -4*h + 193. What is the third derivative of -6*q**5 - h*q**2 - 12*q**5 + 8*q**5 wrt q?\nAnswer: -600*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 878, 1771, 2664, 3557?\nAnswer: 4450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 130524 rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49404233 and 939.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 56) + 504 + -463\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.14 - -2.14. Let x = k + -2.4. Let v = x + 0.5. Is v at most 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6785614?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3900) - (sqrt(3900)*1 - sqrt(3900)) - sqrt(468)\/(sqrt(60)\/sqrt(5)))\/(5*sqrt(75)*3*6).\nAnswer: sqrt(13)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -121*p**2. Let k(w) = 5*w**2. What is d(k(z))?\nAnswer: -3025*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/15, -2\/37, 0.3, 0, -2\/7, 0.079883?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -x**4\/2 - 10*x**3\/3 - 9*x**2 - 34. Find the second derivative of v(g) wrt g.\nAnswer: -12*g - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**3\/6 + 7*k**2\/3 - 101*k\/6 - 19 = 0.\nAnswer: -19, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -10. Let d be (m\/(-3))\/(1\/(-81)). Suppose -y - 2*b + d = 9, -72 = -4*y - 4*b. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/19 + 222*a**2\/19 - 920*a\/19.\nAnswer: 2*a*(a - 4)*(a + 115)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 2*j + j**3 + 2*j**3 + j to i + z*j**2 + m*j + p*j**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 34 - 4 = -3*a, 0 = -7*a - 257*c - 266*c + 521*c - 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.6 - -0.7. Let r = -0.4 - n. Let s be ((-12)\/(-21))\/2 + 0. What is the closest to s in r, -5, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-1119671\nAnswer: -223934.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/11 - w**2\/11 + 25*w\/11 + 25\/11.\nAnswer: -(w - 5)*(w + 1)*(w + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 206 + -207.1. Which is the nearest to 0.1? (a) -1\/6 (b) m (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*m + 20, 5*m - 6 + 43 = 4*h. Suppose -9*r = -5*r + h. Is r greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 27\/(-2)*-2 - 1. Let g = 2571 + -2477. Suppose -g - l = -8*i. Is i at least as big as 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -8, 194 in increasing order.\nAnswer: -8, -1\/5, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10101 (base 3) to base 6\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 6 = -m - 0*i + i + 12 - 8, 2*m - i = 27 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -284*o**3 + 220*o**3 + 68*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -q**5\/20 - q**4\/4 + q**3\/2 + 3*q**2\/2 - 203*q. Calculate s(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4\/2 - 2*f**3 + 3*f**2\/2 + 5*f - 4.\nAnswer: -(f - 1)**2*(f + 2)*(f + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-3)*h\/h**(4\/5))**(-2\/65)\/((h**(2\/9))**(-28\/9))**(-47) assuming h is positive.\nAnswer: h**(-858802\/26325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 1:18 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3604*h - 166007 - 35817 = 0 for h.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 53*o = 54*o + 13, w = 3*o - 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59429*z + 118867*z - 59432*z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*1\/(-2)*16\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-639)\/1988)\/((9\/(-8))\/(-3)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 588932923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -13*s - 44 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 2*w - 4*r, -6279 + 6234 = -5*r. Suppose 2*n + m = -1 + 3, -2*m = 5*n - 5. Let z(y) = 6*y**3 - 3*y - y + 2*y - n. Determine z(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -811136.3\nAnswer: -243340.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -117 + 123. Suppose 3*w = -n, 4*q + 4*w + 4 = 8. Solve q = -y + 5*r - 17, 0 = -r + 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 570 and 5700.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9409411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 9:12 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -111230233?\nAnswer: 111230233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 14*m - 285. Solve 5*h + 25 = 5*x, -x - 3*h + 6*h + m = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 195 = 4*t - 5*x, t = -4*x + 177. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -315 divided by -1400\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(170)*1)\/sqrt(10) - 5*(sqrt(833) - (sqrt(833) - (sqrt(833) + -1))) - ((3 + sqrt(2057) + sqrt(2057)*-1 - (1 + sqrt(2057))*4) + 1).\nAnswer: 9 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r**(10\/7)))\/r*r*r*r)\/r)\/(r\/((r\/r**(4\/11))\/r)) assuming r is positive.\nAnswer: r**(-138\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.29 + -3.71. Let c = -3.84 - u. Let s = -0.34 - c. What is the third biggest value in -0.3, -2\/7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2884 and 120?\nAnswer: 86520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 128232 and 0.3.\nAnswer: 38469.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 + 15 - 15)*(0 + 0 - 1)*(-2*s - 5*s + s)*(-2*s + 4*s + 5*s) to the form t*s + w*s**2 + o and give w.\nAnswer: 546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 864 + -6c?\nAnswer: 7d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -20594559 - 4129\nAnswer: -20598688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11.4 and -5?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1756274 - -1252309. Is t\/(-637) + 2\/(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 11*t**2 - t - 14. Let q be p(-11). Sort -0.2, q, -0.01 in descending order.\nAnswer: -0.01, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccpcpccpcccccpcccp. What is prob of picking 2 p and 1 c?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3220 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3740 - -4034. Calculate the highest common divisor of 84 and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31404?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/30 and -26\/920945?\nAnswer: 5525670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -19. Let a(w) = -10*w**2 - h*w + 2*w - 12*w + 16. Let x(r) = -2*r**2 - 3*r + 3. Determine -2*a(q) + 11*x(q).\nAnswer: -2*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/3 or -6.5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1874.\nAnswer: 2, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32801*t + 3780 = 32731*t for t.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + l - 398 = 0, 0 = 2*l - l + 2. Let f(b) = 28*b + 312. Let q be f(-10). What is the highest common divisor of q and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0798 or -0.1449?\nAnswer: -0.1449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 53*f - 25*f + 29*f + 69*f.\nAnswer: 124*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 1056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 665846590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3912704 by -3821.\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 30 = -3*c - 46, -4*m + 72 = -2*c. Suppose -2*x = -m + 8. Solve 13 = t - 0*u - x*u, -2 = t + u for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/99, 0, 0.045, 5 in descending order.\nAnswer: 5, 0.045, 2\/99, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/6*-2*-5. Let f be ((-100)\/12)\/5*-3. Solve f = l*z - 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 11)*2*((-188)\/28 + 6)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1831, -1821, -1811, -1801, -1791?\n\"Answer: 10*n - 1841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -18706.8 to the nearest 100.\nAnswer: -18700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-55)*(-2)\/(16\/4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10704*d**2 + 2 - 10727*d**2 + 3 - 6.\nAnswer: -23*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 210180, 840609, 1891330, 3362349, 5253672?\n\"Answer: i**3 + 210140*i**2 + 2*i + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 97ec (base 15) to base 7\nAnswer: 162540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -86 + -2?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -5, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11.7 and 258?\nAnswer: -3018.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -114.402 rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1555 times 39\nAnswer: 60645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -28*w**3 - 312*w**2 - 46*w - 23. Let r be o(-11). Let a = -196\/5 - -39. What is the biggest value in a, r, 12\/13?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 less than -29.278?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4329)\/156 + 29)\/((-305)\/(-6)). What is the smallest value in h, -1\/7, 3\/10?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.537666 rounded to three dps?\nAnswer: 1.538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001104674 rounded to 7 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-120)\/(-8) - 18)\/(2\/(-156)). What is the highest common divisor of u and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12250 and 577250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 - -48. Suppose 4*l - 4*y - d = 10, 26 = 3*l - 4*y. Solve -4*t - 1 + 21 = 0, -l*b - 4*t + 20 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55840887 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 227 = -985. Suppose -x = -12*r + 9*r. What is the remainder when r is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -7*w**3 + 2*w**2 - 3*w + 2. Let z(i) = 15*i**3 - 5*i**2 + 6*i - 5. Let q(s) = 5*g(s) + 2*z(s). What is the second derivative of q(o) wrt o?\nAnswer: -30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 4 = 4*x - 2*n, -25 = 5*x + 4*n. Is (-20930)\/(-50) - 2\/x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 27*v + 6. Let x(n) = 20*n - 1. Calculate x(c(u)).\nAnswer: 540*u + 119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7838 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 123 = 119. What is d in 0*d - 2\/7 + 2\/7*d**g = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -1 - 34 - ((-13 - -24) + -19).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 25. Let b(v) = -46*v**2 - 1562*v + 80. Let g be b(-34). Which is smaller: l or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from ggrgjgjggjgjgjj?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y - 728 = 275. Suppose 142 = y*h - 57*h. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*k**3 + k**3 - 2*k**3 - 3*k**3.\nAnswer: 21*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/8 or -62?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*c + 13 = c, -5 = -3*b - c. Let x = 4 - b. Let a(f) = f**3 - 2*f**2 - 15*f - 6. Let r be a(5). Sort r, -2, x, -5 in decreasing order.\nAnswer: x, -2, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 659689924.\nAnswer: 2, 383, 491, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x**2 + 441*x - 12112. Give j(58).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*3\/(-9)*0\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 245660 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minus 1569893?\nAnswer: -1569842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6251642 to the power of 1\/3, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*q + 86508516 + 14759875 = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 5*a - 115070, a = -19*j + 24*j - 115050. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.170751 nanometers in centimeters?\nAnswer: 0.0000000170751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*o - 46011 = -48300 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*n + 12 = 4*d, -2*d = n - 5. Suppose 0 = -t - 2*b - d, -12 = 3*t + t - 2*b. Sort 2\/5, 2\/3, t, 0.01 in increasing order.\nAnswer: t, 0.01, 2\/5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4554\/44)\/(-69))\/(3*(-3)\/(-12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-19 + 21)*1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-2) - 3980\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 13 + o + 10 - 32. Let w be p(6). Let c be -1*((-1 - -1) + 1). Put -2, c, w in ascending order.\nAnswer: w, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09236831905 to three dps.\nAnswer: -0.092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 5, 6, 5, 2, -3?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88\/24 + -6)\/(14\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2\/83, -0.18, 2, -5, -0.2 in decreasing order.\nAnswer: 3, 2, -2\/83, -0.18, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 22*a**2 + 215*a. Let x(o) = -7*o. Calculate f(x(i)).\nAnswer: 1078*i**2 - 1505*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13433 is divided by 1149.\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(3\/11))\/s**(4\/5))\/(s**(-2\/3))**(-1\/10))**(1\/10) assuming s is positive.\nAnswer: s**(67\/1650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*i**4 - 11*i**3 - 11*i**3 + 3 - 20*i - 6*i**3 + 1 + 36*i**2.\nAnswer: 4*(i - 1)**3*(2*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4157310 and 5360.\nAnswer: 2228318160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3922*s + 3926*s = -10*h + 152, -5*h + 175 = 5*s for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -686\/27 > 1989\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 6:56 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a day in hours?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 15*y**2 - 10. Determine o(15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1760, 3518, 5276, 7034, 8792?\n\"Answer: 1758*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19445582 - 0?\nAnswer: 19445582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (0 - -2)) + 10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3807 = -7*j - 2*j. Let d = 690 + j. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5b2a (base 12) to base 2.\nAnswer: -10100000010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2020 divide 14041536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473262 is divided by 2846.\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -153, -193, -229, -261, -289?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(2\/9))**41)**31)**(-4) assuming g is positive.\nAnswer: g**(-10168\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(224\/64 + (0 - 4)). Which is the biggest value? (a) d (b) 290 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19.44 + 0.035\nAnswer: 19.475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a factor of 133776318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 322*r + 116531. Is i(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -8*m**2 + 8*m**2 + 2*m**2. Let l(x) be the first derivative of -x**2\/2 - 5. Give f(l(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 15*z - 18. Let d be p(6). What is the highest common factor of 8 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ea when two letters picked without replacement from {p: 1, f: 3, q: 4, a: 2, e: 1, b: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + 0 + 44 + -56 + 10?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f**2 + 92214*f - 461095 = 0. Calculate f.\nAnswer: -92219, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 25 = 5*t, -t - 10 = -3*t + 3*s. Suppose -55 = -3*q + i, -3 - t = 2*i. Solve -5*f + 42 - q = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 152 and 7552.\nAnswer: 143488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swddsksdwswszzdwkzmk. Give prob of picking 1 k and 1 d.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - 14*(-14)\/4. Suppose 3*d = -4*u + 50, y = 2*u - d + 16. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -223201.\nAnswer: -6\/223201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**18)\/s**(2\/31))\/(((s*s**(-24))\/s)\/(s\/s**(-4\/7))) assuming s is positive.\nAnswer: s**(9658\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2277 + 2222. Suppose 0 = 2*z - 4*m + 106, 4*z - 2*m + 5 + 219 = 0. Which is smaller: n or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m - 63. Determine j(19).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400658 is divided by 80131.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*3*sqrt(60))\/(sqrt(12)*-2*6).\nAnswer: -3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 3*v + 11. Let j be s(-4). Suppose -j - 101 = -12*o. Is 8 a factor of 403\/o - (-5 + 86\/18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**5 + 3*g**5 + 0*g**5 + g**5 + g**5 + 12*g**5 + (-5*g**2 + 2*g**5 + 5*g**2)*(2 + 6 - 2).\nAnswer: 28*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, 3, 0, 4, -4, 3299.\nAnswer: -4, 0, 3, 4, 71, 3299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 876847 and 1927283?\nAnswer: 4451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(24\/(-152))\/3.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/72)\/((-2)\/9)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/3)*(p*p*p**12*p*p*p*p)\/p*p*p assuming p is positive.\nAnswer: p**(58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53558?\nAnswer: 2, 61, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 9 = 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 8*c - 11 = 0. Let i be 3 + (29 - (0 - -2)). Suppose k + 2 = 1, i = 5*y - 5*k. Sort c, 0, y in decreasing order.\nAnswer: y, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.079 in 3, 0.5, -2, -0.3, 7\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 7:29 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/4)\/x*x**(2\/11)*(x**0)**27*(x**(-2))**(3\/20)\/(x\/(x\/(x**(-3\/8)*x)*x)*x*x*x**(2\/9)\/x) assuming x is positive.\nAnswer: x**(-6793\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -k. Suppose k = 6*a - 8*a + 576. Let x = -77 + a. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7015977*j**4*v**2 + j*v**2 - v**2 + 1099447*v - 37 wrt j?\nAnswer: 28063908*j**3*v**2 + v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + u - 2. Let j be x(-2). Suppose 0 = 4*b - 2*n - 8, n + 12 = -2*n. Let c(s) = b*s + j*s - s. Let d(v) = -3*v. Determine c(d(o)).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 1994*s - 8950. Give c(5).\nAnswer: 1020","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*h**4 + 11*h**4 + 5 - 5 + 9*h wrt h?\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u - u - u**3)*(1 + 5 - 5) - u**3 + 188*u**2 - 20*u - 188*u**2 to the form n + a*u**2 + w*u + m*u**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 196 and 6356.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 5\/2)*-2. Let c = 105 + -107. What is the nearest to c in z, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/6)\/(((-1380)\/36)\/(-23)). Which is the closest to 2? (a) w (b) 1.25 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -4 (b) 138 (c) -15\/8 (d) 64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4)**(1\/10) assuming y is positive.\nAnswer: y**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 84389*b**3*r - 2*b*r**2 - 72836*r**2 + 2*r - 1 with respect to b.\nAnswer: 253167*b**2*r - 2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cf when two letters picked without replacement from iciiiifln.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 269 and -0.049.\nAnswer: -13.181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 6:15 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9332 - 6071. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13)\/((-260)\/585400) + -3 + (-2)\/(-1). Which is smaller: r or 29270?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2375 - -2372. Sort x, 3\/44, 4 in decreasing order.\nAnswer: 4, 3\/44, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1296, -19, 5, -1, -6, 0, 2 in decreasing order.\nAnswer: 5, 2, 0, -1, -6, -19, -1296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*b + 25. Let v be (2\/(-9))\/(8\/(-72)). Let g(a) = -v*a - 4 + 8*a**2 - 9*a**2 + 8*a. Give g(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -6*m + 6. Let h(y) = -y + 8. Let z(r) = -6*r + 40. Let j(o) = m*z(o) + 11*h(o). Let f be j(-7). Solve -3 - f = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 11:42 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04 - -0.06. Let n = f + -0.100004. Round n to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-20) + (-264)\/(-20).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.6 + 2.4. Let t = 49 - 49.42. Let h = t + 0.02. What is the smallest value in o, -2\/3, h?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**5 + 31*p**4 - 168*p**2?\nAnswer: 60*p**2 + 744*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3521, 6469, 9417, 12365, 15313?\nAnswer: 18261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 5:15 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*a + 26*a + 33*a - 747 = 0 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -g - 10, -2*m - 2*g = 2*m - 20. Solve -y - 11 = -0*f - m*f, -5*y = -2*f - 14 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 78?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 10:00 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 460, 926, 1392, 1858?\nAnswer: 2324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 z when two letters picked without replacement from vrgpz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5476 - -5532. Calculate the remainder when 1198 is divided by z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -2*y - 17, -5*k - 48 = y - 22 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*5965.\nAnswer: 1789.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 1250*f - 8597. What is z(7)?\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1.11*997\nAnswer: -1106.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**2 + 2*k. Let u be x(-2). Let a be -446*(-4)\/u + -1. Suppose -r = 2*r - a. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 80*w**3 + 3*w**2 - 12*w - 11. Let d be f(11). Round d to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((14\/44)\/(-7))\/(13\/(-52))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7704565.\nAnswer: 5, 11, 71, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*s - 4576143 + 921143. Round s to the nearest one thousand.\nAnswer: -108000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*b**3 - 26*b**3 + 68*b**3 - 88*b**3 - 86*b**3 - 2*b**3.\nAnswer: -197*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**6\/4 + 7*g**4\/6 + g**3\/3 - g**2 + 8. Find the second derivative of o(f) wrt f.\nAnswer: -180*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4124 - 2013. Suppose 4*h + 0*h + 3*n + 15 = 0, -2*n - 10 = 0. Suppose -2*r + 3501 = 5*p, h*p - 3*p = -4*r - c. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38*p**4\/5 - 79*p**3\/5 - 44*p**2\/5 - 3*p\/5.\nAnswer: -p*(p + 1)**2*(38*p + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 43*p + 312 = 0 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 3*x**4\/2 - 4*x**3\/3 - 4*x**2 + 5*x + 29. What is c(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 380 and 199196.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*z - 68 - 4170 = 0. Let y = -43 - z. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 6857 + 178555. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-6*(sqrt(448) + 0 + 4) + 4)*2)**2.\nAnswer: 7680*sqrt(7) + 66112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*w**2 + 97809*w - 746892 wrt w.\nAnswer: -16*w + 97809","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/64638 and -121\/9828?\nAnswer: 1680588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - 8. Let l = -5.2 - y. Let j = -1.4 - l. What is j rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2509952*m - 2539341 wrt m?\nAnswer: -2509952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 - 2*k**2 - 2*k**2)*(-k - 1 + 1)*(-1 + 4 + 0).\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**4\/5 - 4*q**3\/5 - 3*q**2\/5 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1398097 a multiple of 451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3\/2 - 1581*b**2\/2 + 3180*b - 3186.\nAnswer: -3*(b - 2)**2*(b + 531)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000025786 to seven dps.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 316, 658, 1038, 1474, 1984, 2586?\n\"Answer: 3*o**3 + o**2 + 318*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/10 of a week?\nAnswer: 60480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*s - 15*s + 4*v + 11, -3*v - 7 = -s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**3 - 17*f**2 + 91*f + 47. What is c(-12)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -882.871914 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -6*v. Let k(n) be the second derivative of n**4\/12 - 2*n**2 - 2*n. Let m(p) be the first derivative of k(p). Calculate u(m(z)).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7497622*s**3*z**2 + 2*s**2*z**2 + 491*s*z + 1478*s wrt s.\nAnswer: 44985732*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2990, 6275, 9550, 12809, 16046, 19255?\n\"Answer: -i**3 + i**2 + 3289*i - 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*u + 168 = 0, -3 = u - 2. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 263 and 36265?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-952)\/(-442) + 0 + (-4)\/26. Solve 5*y - 17 = 2*b, b - 4*y = z*b - 24 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1326569 and -1326563 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) -1\/4 (c) -0.5 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 410*c**3 - 3*c. Let k(x) = x**3 + x. Calculate 5*k(y) + w(y).\nAnswer: 415*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -25 - (25 + -8 - -11)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28200 + -422?\nAnswer: 27667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 34754827130 rounded to the nearest one million?\nAnswer: 34755000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 100030758*h**2 + 8721536 wrt h?\nAnswer: 200061516*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -13.1. Let b = n - 5. Sort b, -1, -1\/5 in decreasing order.\nAnswer: b, -1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2380 by 5.\nAnswer: -476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -j - k, -4*j + k + 0*k = -36. Let x(s) = j*s**2 + 7*s**2 - 10*s**2. Determine x(2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o*s**2 + o*s + 5*o - 45*s**2 + 2*s wrt s?\nAnswer: 2*o - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 62256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 62*z**3 - 3*z**2 - 7*z + 11. Let q be p(1). Suppose -1659 = -q*d - 16*d. Let x = 259 - 157. What is the remainder when x is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -609.00307 - -609. Round k to four dps.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b + 3*b + b)*(4 - 41*b - 4*b**2 - 39*b + 78*b) to d + p*b**2 + x*b + v*b**3 and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -4\/9, -1, 4, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (16\/144)\/(10\/(-12))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 6. Let q(r) = 14*r**2 - 9*r**s + 2 - r**2. Let a(u) = 5*u**2 + 3. Let g be 5\/2 - (-1)\/2. What is g*q(z) - 2*a(z)?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -87603 greater than or equal to -1489261\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + -4*(sqrt(27) + 0)**2*-1*-6*-1).\nAnswer: -3876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000117926 rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -14. Let t = -9 - s. Put t, 5, 0.1 in decreasing order.\nAnswer: 5, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 10:15 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v. Let u(h) = -3*h. Let m = -92 - -93. Give m*u(p) + 2*y(p).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 431*c + 11238. Calculate r(-26).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + 0.1. Suppose -v + 3*y = -1, -3*v - 4*y - 2 + 5 = 0. Which is the closest to v? (a) -1\/4 (b) z (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 446.85? (a) 0.3 (b) 0.2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 8) to base 13\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -248234*b**5*g + 4*b**5 - 6447*b**2*g + 54*b**2 + 4*b*g wrt b?\nAnswer: -14894040*b**2*g + 240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -176 + 160. Let i be (-2)\/k*1 - (-9)\/(-8). Which is greater: i or -15\/8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4650 divided by 6?\nAnswer: -775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -x - 0. Let g be (-8)\/7 - 5\/x. Sort g, 0, -2 in ascending order.\nAnswer: -2, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 39*p + 63. Let u be k(35). Let c = -84 - u. Let t(s) = 2*s + 16. Calculate t(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3686, -14747, -33188, -59015, -92234, -132851, -180872?\n\"Answer: -i**3 - 3684*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13619*y + 13605*y - 41*y**3 - 27224*y.\nAnswer: -41*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5924*l - 42311. Calculate k(7).\nAnswer: -843","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = o + y, 166*o - 8 = 170*o - 5*y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60 + 32. Let a be b\/36*(-4)\/14. Let k = -0.2 + 1.2. Is a > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/8)\/((-11)\/(-44)))\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 - -7. Let m = 58 + t. What is the greatest common divisor of m and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {f: 10, y: 10}?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57.7 + -57.6987112. Round f to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**3\/5 - 17851329*d**2\/5 = 0. Calculate d.\nAnswer: -5950443, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-135)\/25 + (-2)\/(-5). Calculate the remainder when 43 is divided by (1*-1)\/(t\/55).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 74 - 70. Suppose -2*b = -j*b + 2. Calculate the lowest common multiple of 18 and 20*(3\/(-5) + b).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 102 + -102.01905. Round l to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 9*x - 6*x - 16*x. Let s(r) = -2013*r + 667*r + 669*r + 670*r. Calculate u(s(y)).\nAnswer: 91*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*y + 8834 - 11774 = 0 for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(343) + -3*sqrt(343)).\nAnswer: -sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19683 - -19849. Is 14 at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 (base 8) in base 16?\nAnswer: -3f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000201586121 to six decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -484*k**5 - 6261*k**3 + 2*k**2 - 44908519*k.\nAnswer: -9680*k**3 - 37566*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7920 - -7920.000008486. What is q rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9552.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(21)\/(sqrt(1008)\/sqrt(4)))*5 + -1 + -3.\nAnswer: 5*sqrt(3)\/6 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -0*d - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -30 - (-12 - -6) - -23?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -5 (c) -10\/11 (d) -215\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 872 less than -0.07?\nAnswer: -872.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9.209808 and -11.\nAnswer: -20.209808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -7)*3\/2*-1. Is 11 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11846*w**3 - 2*w + 9133 wrt w.\nAnswer: 35538*w**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32639488 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, 19, 26, 0.5, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 19*r + 747. Let g(u) = 24*u + 997. Calculate 7*g(v) - 9*h(v).\nAnswer: -3*v + 256","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**2 + h - 1 + 4*h**2 - 1 + 2*h. What is the units digit of w(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**5\/60 + 5*u**3\/6 + 4*u**2 - 15*u. Let w(s) be the first derivative of t(s). Let n(l) = 47*l**2 + 2. Give n(w(d)).\nAnswer: 188*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 5*s = -191 + 186, -v + 25 = 5*s for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.9015 + -142.7315. Round y to zero dps.\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 233\/325 - 12851\/10400. Find the common denominator of 101\/3760 and z.\nAnswer: 7520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*n + 9991560 = 34*n. List the prime factors of n.\nAnswer: 53, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/7)\/r)**(-13\/4))**(-1\/6)*((r*r**6)\/r*r*(r*r**(1\/4)\/r)\/r)\/(r**1\/r**(2\/3)) assuming r is positive.\nAnswer: r**(929\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*r, r = -5*b - 50 + 147. Find the third derivative of 1 - 7122*f**5 + 3*f - 3*f + 7075*f**5 + b*f**2 wrt f.\nAnswer: -2820*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 11. Let h be (-1)\/2*(-4)\/v. What is the closest to -0.1 in -2, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) 337 (b) -1\/4 (c) 1\/119\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 277053 (base 8) to base 5\nAnswer: 11112320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.139 - -0.074?\nAnswer: 0.213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*104\/(-39)*(-3)\/(-12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*i**2 - 3208593709 + 3208593709.\nAnswer: -43*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-870)\/(-4)))\/(30264\/(-520) + 59)\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 392931 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**2 - 9*y + 6. Let v(c) = 8*c**2 - 26*c + 18. Let q(l) = 11*a(l) - 4*v(l). Let t be q(-5). What is the units digit of (-56)\/t + 2\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -314*s**2 + 2*s + 3*s**3 + 314*s**2 + 3*s**3 as n*s**3 + p*s**2 + j + y*s and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(9\/8)\/z)\/(z*(z**23*z)\/z*z)*(z**(-21)*z*z*z*z)**(7\/11) assuming z is positive.\nAnswer: z**(-3141\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-3 + -1 + ((sqrt(704) + 1 - sqrt(704)) + -5 - (1*sqrt(704) + -3 + sqrt(704))))*5 + -3)**2.\nAnswer: -284736 - 17920*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 7*a**6\/60 - a**5\/20 + a**4\/6 - 4*a**3\/3 + 2*a**2. Is d(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3\/3 - 570*c**2 = 0.\nAnswer: -855, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27024 is divided by 1266?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5700 and 12.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, j: 12}. Give prob of sequence jcjj.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 946360 divided by -2.\nAnswer: -473180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 6.01. Let w = 2.57 - -0.13. Let u = w - 2.6. Which is the nearest to u? (a) 0 (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6435\/22)\/13*16\/12\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**4*g\/(g*g*g*g**(-3)\/g*g)*(g**(2\/13)\/g)\/((g\/(g**(-2\/3)*g))\/g) assuming g is positive.\nAnswer: g**(-98\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10851840 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -402*w + 1031*w - 457*w - 325*w to the form k + i*w and give i.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a decade?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31824296 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n + 12 = -12*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -1 - (4 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*i + 20*i - 26*i)*(-12 - 1 + 3)*(-2*i**2 - i**2 + 4*i**2)*(i + 3*i - 3*i).\nAnswer: 410*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -6*a - 1. Suppose 5*v = -4*s - 175, -2*s + 132 = -5*s - 3*v. Let j = -13 - s. What is the remainder when j is divided by w(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76395613?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/18)\/(1342\/132 + -8).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 1. Let f(h) = -h - 4. Let m = 0 + -6. Let d(v) = -v**3 - 6*v**2 - 2*v. Let p be d(m). Suppose 0 = 4*z + p + 4. Determine z*k(b) - f(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8101 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-9))**(2\/3) assuming f is positive.\nAnswer: f**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.12898 minus 424?\nAnswer: -433.12898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**3 - 10*x**4 - 214*x**2 - 4*x + 8*x**4 + 218*x**2 + 3*x**3 + 2 to z + f*x + h*x**4 + p*x**2 + i*x**3 and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 308333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 10:22 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 7*r = 18, -183*c = -178*c - r - 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*u, -18 = -b + 7*u - 3*u. Suppose -d - 10 = 2*l, l + 3*d = -l - b. Let z(a) = a**2 + 3*a. What is the remainder when 13 is divided by z(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 - 2*f + 5*f - f.\nAnswer: 2*f - 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -14*s + 5 + 55*s - 12*s. Let f(l) = 7*l + 1. Let x(w) = -2*b(w) + 9*f(w). Suppose 0 = -5*q + 5 + 5. Give x(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 10:12 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36660312979\/6020 + 6089753. What is the common denominator of -39\/50 and p?\nAnswer: 30100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 10101210022210?\nAnswer: 10101210022210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 27067 + 34709 = -5344. List the prime factors of w.\nAnswer: 2, 5, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2175)\/20*(-16)\/6. Is (1 - -1)*y\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1158 - 1161 + 823*y - 1154 + 3472 to k*y + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5758?\nAnswer: 2, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1 (b) -3\/22 (c) -3 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*u**3 - 3*u**3 - u**3 + (-1 - u + 1)*(-2*u**2 + 4 - 4) + (-2 + 2 + 4*u**2)*(3*u + u + 5*u).\nAnswer: 41*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = b + 14, -2*b + 13*v - 2*v + 24 = 73 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 95.999805 - 96. Round x to five dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 8*j = c + 3, j = 5*c - 7. Which is smaller: c or -2\/93?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -369664*i**3 + 1518784*i**2 - 161601*i + 4356.\nAnswer: -(i - 4)*(608*i - 33)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 5*l + 108 = 0. What is the greatest common factor of l and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -28. Which is smaller: -11 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4224 + -8?\nAnswer: 421c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + -5 - 8) + 14. What is the closest to 0 in 2, f, -8\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 5*j - 0*f - 19, j + 4*f + 1 = 0. Suppose -v + 715 + 1106 = -5*x, 2*x - j*v = -731. Let r = x + 3141. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -9.5?\nAnswer: 2.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 65632\/(-3280) + 230\/23575?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p*s**5 + 3088031*p*s**2 - 3*p - 39*s - 22161 wrt s.\nAnswer: 40*p*s**3 + 6176062*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3 - 4*r**2 + r**2 - 7*r + 5*r**2. Let l(a) = 2*a**2 - 6*a - 2. Suppose 12*p + 5*k - 46 = 13*p, 3*p - 5*k + 38 = 0. Calculate p*j(o) - 5*l(o).\nAnswer: -2*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -234 - -234. Let m be (5\/6)\/(6\/36). Let d = -6 + 3. Put d, u, m, -0.2 in descending order.\nAnswer: m, u, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -4*s**4\/7 - 184*s**3\/7 - 39*s**2\/2 - 34*s\/7 + 170. Find q, given that o(q) = 0.\nAnswer: -34, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -76542\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a millennium in years?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53042906?\nAnswer: 2, 7, 3788779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*d**6*q - d**4*q + d**2*q + 5*d**2 - 2*d*q wrt d.\nAnswer: 1080*d**3*q - 24*d*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43604*r**5 + r + 2713 wrt r.\nAnswer: -872080*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.6634 micrometers to kilometers.\nAnswer: 0.0000000086634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6932*g**6 + 9*g**5 - 4*g**4 - 22073*g**2 - 302*g - 3?\nAnswer: 831840*g**3 + 540*g**2 - 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 181 + -31. Suppose 8*q - 13*q + b = 0. Suppose -4*k = k - q. Solve -6 = 3*d - 2*i, k*d + 3*i = d - 29 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -514, -505, -476, -415, -310, -149?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16464 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1566637?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 782.2 + -489.2. Which is the nearest to 2? (a) 2 (b) h (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -5*y + 30 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0*b**2 + 21 - 4*b**2 - 2*b**2 - 6*b**2 wrt b?\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 g when two letters picked without replacement from zbgsq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.6 and 22026191?\nAnswer: -57268096.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 489.5 + -490. Sort i, -0.3, 8 in descending order.\nAnswer: 8, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 112, 519, 1400, 2935, 5304, 8687?\nAnswer: 13264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -27*c**4 - 159*c**3 - 225*c**2 - 81*c + 12 = 0?\nAnswer: -4, -1, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*k**3 + 119*k**3 - 348*k**3 - k**2 + 118*k**3.\nAnswer: 4*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 19. Let k = -0.001 - 0.299. What is the biggest value in j, -2, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 0.107\nAnswer: -0.107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 264147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -5021\/2 greater than or equal to -2512?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -11, -4997, 0 in decreasing order.\nAnswer: 0, -2, -4, -11, -4997","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/(sqrt(3) + sqrt(48)))\/((sqrt(108)\/sqrt(3))\/sqrt(9))*-2.\nAnswer: -2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251577534?\nAnswer: 2, 3, 13, 59, 54667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -75940.\nAnswer: -75936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fi when two letters picked without replacement from ffiffffffiifiiffff?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1305 + 1308. Solve 7 = -2*t + 2*z - u, 3*z - 19 = 4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/8? (a) -3.3 (b) -1\/3 (c) -0.569 (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mu when two letters picked without replacement from {m: 1, q: 2, c: 2, h: 1, u: 1, s: 2}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 291957 and -7421649.\nAnswer: -7129692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eleven halves of a minute?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 98.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 56081*s**2\/8 - 308443*s\/4 - 55\/8.\nAnswer: (s - 11)*(56081*s + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 4465152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -1 + -1 + 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 10*p - 3. What is the remainder when 154 is divided by g(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q + 6. Let i be y(6). Let o = 12 - 7. Suppose i = -b + o*x - x + 18, -2*x = 3*b - 40. Calculate the remainder when 40 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-9)*j\/j**(-1\/8))**(5\/9)*(j**(2\/27)\/j*j\/(j**(-1\/6)*j))**36 assuming j is positive.\nAnswer: j**(-2243\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (11 - -1154) + 1*-2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 132 + -128. Which is the fourth biggest value? (a) -0.2 (b) q (c) 1\/6 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(21)\/sqrt(7)*-1 + ((-4*sqrt(27))\/sqrt(3))\/sqrt(3))**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5688.0934 + -5689. Round c to two dps.\nAnswer: -0.91","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98716.63 millennia in decades?\nAnswer: 9871663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 27. Suppose -2*i + 3*k - 4*k = -z, -5*i = 5*k. Solve -4*j + i*x + 0 - 4 = 0, -4*x - 28 = 3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014780762 rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {k: 6, l: 12}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/3749 - 11268\/26243. Which is bigger: -0.129 or v?\nAnswer: -0.129","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffsssfssfsffffffff. Give prob of sequence fs.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f + 10*f - 6*f - 2. Let l = 8 - 6. What is the common denominator of 25\/2 and i(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8912 and 148162?\nAnswer: 1185296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*t - 26, -27 = -4*a + 5*a - 3*t. What is the common denominator of 39\/10 and a + (-6)\/(-3)*-1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4370558 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 37*z. Let j(g) be the second derivative of g**3\/6 - 2*g + 1757. What is 3*j(s) - m(s)?\nAnswer: -34*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6083740*i**2 - 6147340*i wrt i.\nAnswer: -12167480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 42 = z. Let c be (65\/(-15) + 4)*-3*7. Let k(o) = -o**3 + 8*o**2 - 9*o + 17. Let m be k(c). Sort z, m, -3 in decreasing order.\nAnswer: z, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 + 2304033?\nAnswer: 2304120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a meter in millimeters?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5694149\/6 - -949025. Suppose -5\/6*h + 0 + g*h**2 = 0. Calculate h.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145355 - 121861 = -10*c + 818554. What are the prime factors of c?\nAnswer: 2, 3, 7, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1728)\/1280 + -3 + (-190)\/(-40)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33634100 and 150320?\nAnswer: 134536400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*x - 3*j, -4*x - x = -5*j - 10. What are the prime factors of -145*(-4 - (-18)\/x)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 85*z**4\/2 - 1199*z + 877. Differentiate b(i) wrt i.\nAnswer: 510*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 6*q - 3. Let t be 61\/9 + (-2)\/(-9). Let n be y(t). Solve 3*o - 3 = 2*s, -n*o - 4 = -0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 2 - 45 + 4*m**3 + 15 + 4 + 2*m**2 to b*m + n + l*m**2 + z*m**3 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1829 a factor of 37957237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2943.6428 - 0.4265\nAnswer: -2944.0693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wiwfffiwiwiiii. Give prob of sequence wif.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 21ba1 (base 14) to base 12\nAnswer: 3b469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3016 + 1527. Let a = h + -503. Suppose 0 = t - 4*z + 6984, 2*z + 9968 + a = -2*t. What is t rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) 25 (c) 2 (d) -0.3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*v + 282*v + 904*v + 88*v.\nAnswer: 1101*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -3361.23495 to the nearest 10.\nAnswer: -3360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (g + g**2 + 9 - 9)*(199 + 164 - 74) in the form a + l*g + k*g**2 and give l.\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*n**3 - 12*n**3 - 5*n**3 + (1 + n**2 - 1)*(-1 + 1 + 4*n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7669 divided by 1196?\nAnswer: 7669\/1196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, l: 2, k: 2, u: 8, p: 1, t: 2}. Give prob of sequence uuip.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 5, -11, -25, -37?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/3)*c)\/(c\/(c**(1\/5)*c))*(c\/(c*c**(2\/11)*c))**3)**20 assuming c is positive.\nAnswer: c**(-1108\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 2.899, -0.012, 4, 23, 0.3?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 585 and 1430.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -13\/24*j**4 + 0*j**5 + 0*j - 13\/120*j**6 + 3*j**2 + 0 + 0*j**3. Find the second derivative of v(h) wrt h.\nAnswer: -78*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/23 + 21\/46. Let w = -34 + 32. What is the nearest to w in 0.3, b, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-12)\/(-30)*(-5)\/(-178)). Find the second derivative of -10*i**2 - j*i - 15*i**2 + 0*i**2 - 24*i**2 wrt i.\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 10*k + 77. Is j(18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2510095, -5020179, -7530263?\nAnswer: -10040347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1583?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -314976 and 0.36.\nAnswer: -113391.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -109493.\nAnswer: -15\/109493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 558*y - 99 + 2 - 19*y**2 - 275*y - 286*y + 5 in the form a*y + j + k*y**2 and give j.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is c6927 (base 15) in base 14?\nAnswer: 125748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -89*g - 813. What is the remainder when j(-10) is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/5598076 and 7\/3053496?\nAnswer: 33588456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(((1*sqrt(72))\/sqrt(2) - sqrt(36)) + sqrt(144)*-5))\/(sqrt(768) + -6*(sqrt(768) + -1*sqrt(768)) + ((-2*sqrt(768) - sqrt(768)) + sqrt(768))*-6).\nAnswer: -5*sqrt(3)\/52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -180*i + 1. Let b(f) = -2*f**2. Determine b(t(h)).\nAnswer: -64800*h**2 + 720*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 - 33. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 (base 13) in base 15?\nAnswer: 5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 5 + 0*z**2 - 8*z + 0*z**2 - 1. Let d be n(-8). Suppose 2*f + 94 = f - d*r, 3*f = -4*r - 274. What is f rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g**3 - 109*g**2 - 201*g - 37. What is the remainder when 202 is divided by q(29)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.5 - -13.5. Let i = 11 - p. Let m = 0 - 3. What is the closest to 1 in m, i, -1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 > 146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 24 - (-124 - (-102 + 32))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, h: 3, p: 3, z: 1, l: 3, e: 2}. Give prob of sequence pe.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1109581882, 2219163765, 3328745648, 4438327531, 5547909414?\n\"Answer: 1109581883*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3915, -67614 in decreasing order.\nAnswer: 0, -3915, -67614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p + p + 7*p - 2*p.\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2772 + 2776. Let w(j) = -2*j. Let x be w(-4). Let t(z) = -3*z**2 + 5 + 2*z**2 + x*z - 5*z. Determine t(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1027.482 at most -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -x - 3*v, 14*x - 16*x - 9*v = -71. Let n(t) = 13*t**2 + 3*t + 2. What is the remainder when n(3) is divided by x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 2:27 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.265 + -0.535. Let c(z) be the first derivative of -3*z**2\/2 + z + 1. Let q be c(2). What is the nearest to -0.1 in q, 1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -530725.619 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + 3)*3\/(-9). Suppose 253 = 5*y + 888. Let z = -633\/5 - y. Which is the nearest to -1? (a) -0.4 (b) s (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -41*i - 88. Let g be l(5). What is the units digit of (g\/5)\/(-4 + 171\/45)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -14 + 2. Let g = b - -8. Suppose y - 3*t - 10 = 0, g*y + 6*t = 2*t. Solve 5*l - y*u = -9, 0*l + u - 21 = 5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 819 and -2\/29 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, -5, 0.38, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 11*z**2 + 27*z + 6. Let l(w) = -12*w**2 - 33*w - 8. Give -6*c(n) - 5*l(n).\nAnswer: -6*n**2 + 3*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2161 = -4*z + 20633, -23090 = 5*s - z. Let w = -2335 - s. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -67*d - 1. Is z(-3) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -94, -77, -42, 17?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 6 - (-123 + (136 - 14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 774375, 1548757, 2323139, 3097521?\n\"Answer: 774382*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402884?\nAnswer: 2, 47, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**3 + 9*l**2 + 23*l - 81. What are the prime factors of z(-14)?\nAnswer: 53, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -0.037 (c) 0.4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*s - 12. Suppose 0 = s*q - 5*c - 1645, 5*c - 335 = -3*q + 2*q. What is the highest common factor of 66 and q?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 7:56 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 1 + -151 + 161 - 16.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.83983ug to grams.\nAnswer: 0.00002883983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18849, -37746, -56645, -75546, -94449?\nAnswer: -113354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -5968?\nAnswer: -5969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c + c - 3*c + 11*c + 12*c - 11*c + 2*c + 0*c - 3*c + (-7*c + 2*c + 3*c)*(-2 + 1 + 2).\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1277, 2689, 4241, 5939, 7789, 9797, 11969?\nAnswer: 14311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -29*h + 1. Calculate u(2).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -7*q**2 + 42*q + 6. Let r be z(6). Find the third derivative of u**r + 104*u**2 + 4*u**6 - 39*u**2 wrt u.\nAnswer: 600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -171787c (base 13) to base 6\nAnswer: -424045051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*o = 179*o + 330 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l*s**6 - 25*l*s**4 - l*s**2 + 3*l*s - 21*l wrt s.\nAnswer: -120*l*s**3 - 600*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 8*t - 27. Let h be l(-10). Which is the third biggest value? (a) -0.5 (b) 4 (c) -2\/15 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 42, 28, 2, -42?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 2*d**2 - 29*d + 35. Let w be x(6). Solve -10 = w*g - 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 23. What is the second biggest value in -1\/2, c, 5, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 c, and 1 s when three letters picked without replacement from {c: 3, s: 15, e: 2}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16*(-21)\/336*((-22)\/60 - 1\/(-3))?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - (-35 + -57 + 87 - (38 + 1)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 3, 5 in descending order.\nAnswer: 5, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/12*(-4)\/(-21). Which is the smallest value? (a) -5 (b) 1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67*t**3*w**3 + t**3 + 3*t**2*w**3 + 40*t*w**3 - 9*w**3 wrt t.\nAnswer: 402*t*w**3 + 6*t + 6*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24021*t + 12008*t - 3*t**2 + 12013*t + 11 + t**2 + 40*t**3 to m*t + x*t**3 + v + j*t**2 and give x.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2411357190 to the power of 1\/3, to the nearest integer?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 2*j - 4. Suppose -n + 5 = 0, 20 + 5 = -5*y + n. Let l be d(y). Let i = -10 - l. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + o - 1540002 = 0, -632528 - 907468 = -r + 2*o. Round r to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 * 90.376.\nAnswer: -1446.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 79*x**4 + 0*x**2 - 3*x**2 - 736*x + 2*x**3 + x**2 + 740*x in the form v*x**4 + c*x**2 + r*x + m*x**3 + p and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 16*k + 6*k + 5*k + 4. Let l(g) = -9*g - 1. Let u be 3 + 4\/6*(18 - 39). Let y(j) = u*l(j) - 4*q(j). Let d(s) = 13*s + 7. What is 5*d(m) + 7*y(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 0.5, 1, 38, -41\/4, -17, -2?\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 3*r + 62, 24*r - 29*k = 48*r - 20*r - 25*k + 88 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 490635929?\nAnswer: 7, 17, 1087, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7724 is divided by 3650.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -2\/9 (c) 0.03 (d) -0.3 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + (25 - 25) + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3*sqrt(3888) + sqrt(12)\/(-5*sqrt(196)))**2.\nAnswer: 42840073\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = v - 2. Let y(c) = -c**2 + 7*c + 10. Let b be y(9). Let g = b - v. Put g, 0, 2 in increasing order.\nAnswer: g, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = 4 - 36. Suppose 0 = -4*t + 4*w + 260, -2*t = -74*w + 69*w - 139. Calculate the greatest common factor of j and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53283613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 299 + u**3 - 34 + 13*u + 199 - 13*u as p*u**2 + h*u**3 + t + m*u and give t.\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 512*y - 2635 + 2635.\nAnswer: 512*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*d - 3055 = 76*d + 135*d + 110*d for d.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 6 = 6. Suppose 4*l = -4*d - 128 - 20, r*l = -5*d - 180. Round d to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c - 3*s + 3 - 87 = 0, 3*c - 3*s = -53 + 89 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 3. Let m be r(9). Let h be 4\/m - 12\/(-9). Let q(c) = -5*c - 2*c**h - 2 + 0*c**3 + c**3 + 4 - 4. Determine q(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 17 + 11 = -2*d, -c + 9 = -3*d. Is 3\/(-9) + (-320)\/c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*(sqrt(5) + -1) - (1 + sqrt(180) + sqrt(180))))**2 - (-5*sqrt(720)*1 + 1).\nAnswer: 32*sqrt(5) + 980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**5\/120 + 5*n**4\/24 - 31*n**3\/18 + 4*n**2 - n - 1073. Find a, given that h(a) = 0.\nAnswer: 1, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8255382*m**2 + 2671590*m + 3.\nAnswer: 16510764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1331) + 5).\nAnswer: -55*sqrt(11) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -626376, -626375, -626374, -626373, -626372, -626371?\n\"Answer: g - 626377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 10 = r. Suppose 5*t + r = 55. Solve 3*h + t = -2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1273894 + 137851. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 63*i**2 + 66*i - 228. Give l(64).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -187 - -344. What are the prime factors of q?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 246 + -243. Calculate the least common multiple of o and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -4*f**4 + 11*f**3\/3 + 11*f**2\/2 + 9. Let n(d) = -3*d**3 + 2*d**2 + 2*d. What is -11*n(y) + 2*z(y)?\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15.7 - 16. What is the smallest value in 15, 0.2, v, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 887679732 to the nearest integer?\nAnswer: 961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2098157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 11*b + 8013. Let i(d) = -d. Give h(i(v)).\nAnswer: -11*v + 8013","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -3\/8*x**4 - 1\/10*x**5 + x**3 + 0*x - 258 + 2*x**2. Factor h(m).\nAnswer: -m*(m - 2)*(m + 1)*(m + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 4)*(56*z - 16*z - 19*z).\nAnswer: 21*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23.5*0.3602.\nAnswer: 8.4647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/1165 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a + 0*a**2 + 4*a**3 + a**2 + 5 + 0*a**3 + 11*a**3. What are the prime factors of v(3)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbbr when four letters picked without replacement from {w: 1, r: 1, h: 1, b: 3, j: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (208\/676)\/(1\/13).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 37 - 8*p**2)*(-5*p + 2*p**2 + 5*p) + 6*p**4 + 9*p**4 + 0*p**4.\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -2 - (-3 + 12 + -13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -2*q - 16, 0*r + r + 1 = -2*q. Let m be (q + -6 + 4)\/1. Solve -g - g = m for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5589753 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*((-25)\/(-10))\/5. Let 2\/5*j**2 + 0*j + u = 0. Calculate j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -5*x**5 + 385*x**4 + 1595*x**3 + 2015*x**2 + 810*x = 0.\nAnswer: -2, -1, 0, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5306*b + 5312*b + 30 = 0. What is the closest to -3\/10 in -3, -2, 3, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7133\/30 - -1228\/5. Find the common denominator of c and -39\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/4509 and 49\/27054?\nAnswer: 27054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**2 - 160*t - 6388. Give n(-28).\nAnswer: 444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 4482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 7*y - 3*y. Let j(z) = -z**2 - 6*z + 3. Let l be j(-6). Suppose l*h = -2*g + 26, 3*h - 5*g = -0 - 2. Solve q - y = h*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -57*h. Let t(f) = -1536*f + 1536*f + f**2. Calculate d(t(y)).\nAnswer: -57*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 7. Let t = i - -3. Suppose 0*f - 2*f + 20 = -3*n, 4*n + 24 = t*f. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 1987.\nAnswer: 397.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x - 19. Let f(n) = -n + 6. Determine 7*f(w) + 2*o(w).\nAnswer: -3*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70089.\nAnswer: 3, 61, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -306*r + 309*r + 3. Let b = -9374\/25 + 375. Which is smaller: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1399 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-2\/23))\/(n\/(n*n**(-2\/125))) assuming n is positive.\nAnswer: n**(3079\/2875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -1 (c) -414 (d) 0.02 (e) 13 (f) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 155 = 6*w. Calculate the remainder when 58 is divided by w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -154d (base 16) to base 2\nAnswer: -1010101001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 128, -1, -3, 1 in increasing order.\nAnswer: -3, -1, 1, 3, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -4593.\nAnswer: -1837.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (136592*o**2 - 68298*o**2 - 68294*o**2 + 333*o + 8*o**3)*(4*o - o - o) to w*o**4 + l*o**3 + k*o + m*o**2 + y and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 256 and 3840.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11215232 (base 6) to base 14\nAnswer: 8d832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m - 57. Suppose 0 = 3*s - 19 - 293. Suppose s = 5*c + i, 2*i = 3*c - 3*i - 40. Let w be d(c). Solve 0*t + 2*q - 6 = 2*t, 3*t = q - w for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (246*i**2 + 48*i - 48*i)*(5*i + 3*i - 3*i) - 5*i + 2*i**3 + 5*i as y*i**2 + u + t*i**3 + b*i and give t.\nAnswer: 1232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o + 19805 - 59435 + 19825 + 19807.\nAnswer: 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + 4 + -6 - -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001826 rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2.5, -1, 1\/7, 2\/5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 289*j - 397*j - 54*j + 0 to s*j + f and give s.\nAnswer: -740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y = -9*y - 12. Suppose 0 = -3*d + 2*d + z + 1, -d = -y*z - 7. Put -2, 4, d, -5 in increasing order.\nAnswer: -5, -2, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10513.4 + -10420.513. Let f = -93 + t. What is f rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -15*k**2 + 155*k + 79*k**2 - 154*k. Suppose -h - 3 + 2 = 0. Calculate the remainder when a(h) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -3*o - 36. Suppose 2*b = -7 - 5. Calculate the remainder when o is divided by 11 + (-1 - b\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(209) + -1*sqrt(209))\/sqrt(11) + -2 + -5 + sqrt(19) - (-2 + sqrt(1539) - (3*sqrt(190)\/sqrt(10) + sqrt(19))))*-1)**2.\nAnswer: 40*sqrt(19) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 719405 + -428226. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(34\/187 + (-1762)\/11). Suppose 2*n - 29 = -9. Calculate the greatest common factor of n and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 108.123 - 108. Let b = -0.083 + i. Let a = -13 - -25\/2. Sort -2\/5, a, b, -2\/13 in ascending order.\nAnswer: a, -2\/5, -2\/13, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98) + -2 + 5 - (sqrt(384) + 1*sqrt(384))\/sqrt(12).\nAnswer: -sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9541057?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((1020\/(-45))\/(-17)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.6? (a) 1\/3 (b) -0.6 (c) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1120 times -0.7?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1530.294333 rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 259 = -s + 103, 4*s - t - 1431 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/41)*j)\/j)\/j*j**(-6)*((j\/(j\/j**12))\/j)\/j**(1\/8) assuming j is positive.\nAnswer: j**(1255\/328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 3*o**2 - 2*o - 4. Let m be n(-3). Suppose 0 = -3*b - 4*l + 129, -7*b + 2*b - m*l = -215. What are the prime factors of b?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 10) + 10 + -3 + -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 6*p + 30. Let u be r(-8). Let w = -17 - u. Solve -q + w = -3*x, -q - x - 4 = x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.3 * 1615370\nAnswer: 8561461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 14, b: 5}. What is prob of picking 3 b?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104\/(-8) - -13 - (-2)\/(-14).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6338580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 - ((-7 - -3) + 28). What are the prime factors of c\/(((-9)\/3)\/3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*r**4 + 219*r**4 + 266*r + 8*r**2 + 8*r**3 - 254*r - 5*r**3 wrt r?\nAnswer: 5496*r + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 14*z - 8. Let r(v) = 5*v - 3. Let k be -4*(3 - (1 + 1)). Let l = k + 12. Let a(y) = -5*y**2 + 7*y + 9. Let b be a(-1). Calculate b*i(o) + l*r(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1030.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23105*u - 23135*u = 0. Suppose x + 0 + 1 = 0. Put u, -5, x in descending order.\nAnswer: u, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -1954.\nAnswer: 13678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -280 divided by -2\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0694 times -3?\nAnswer: -3.2082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**3 + 26*o**2 - 175*o.\nAnswer: -12*o + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*t + 42738966 - 42738966.\nAnswer: -15*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 241296503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/((q*q\/((q\/(q*(q*q**(10\/3)*q)\/q))\/q))\/q))\/(q**(-3\/10)\/q))**5)**(4\/13))**28 assuming q is positive.\nAnswer: q**(-6776\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + u**2 + 4*u + 1. Let m be z(3). Sort -3, m, 277.\nAnswer: m, -3, 277","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 455989 = 4*j - 2264011. What is j rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -18. Suppose 0 = -4*d + 26 + 14. What is the remainder when d is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 19*y**2 + 22*y - 6. Let o = -5 - -11. Let n(d) = -11*d + 49. Let w be n(o). What is the remainder when l(w) is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188 - 9*w**3 - 188.\nAnswer: -9*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2014*g + 1718 + 24536 = -1942 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -198 - 24*l + 3\/2*l**2.\nAnswer: 3*(l - 22)*(l + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 205\/4 + 3\/4. Let h = -35 + p. Solve -h - 8 = -5*k + 5*g, 0 = 2*k - 3*g - 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a - a + 2*a)*(-15 + 311 - 141) as y*a + v and give y.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1041 + -423. Suppose q = -i + y, -4*q + 3140 = 5*i - 9*q. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/72408 and -109\/14784.\nAnswer: 6371904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1513127 (base 8) in base 12?\nAnswer: -1899b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 649462?\nAnswer: 1\/324731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 y when four letters picked without replacement from ozyzyzzooyzyyzo.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -14*x**2 - 38*x + 38. Determine l(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1606 from -29989603.\nAnswer: -29987997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-18 - -7)) + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-2)\/(-4)*6\/(96\/32).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-647)\/3 + ((-260)\/39)\/(-10). Which is bigger: 1\/6 or m?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5404920.\nAnswer: 2, 3, 5, 73, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2394776332?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*f + 24*f + 48. Let h = f + -38. What is the remainder when h is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5003, 10013, 15023, 20033, 25043?\n\"Answer: 5010*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 8 = s. Suppose -x + s + 1 = 0. Let a = x - 1. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 6*l - 5. Suppose -2*s + 1 = 15. Let g be r(s). Let d = g - 5. Are -2 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 3*x - 2. Calculate n(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -1205370?\nAnswer: -1\/401790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*b = -51, 427*d - 424*d - 4*b - 69 = 0. Put 2, d, -52 in increasing order.\nAnswer: -52, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160862393 to the power of 1\/3, to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 6, o: 12}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3052?\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v**4\/12 + 9*v**2\/2 - 2*v. Let o be t(-4). Calculate the greatest common factor of o and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 6*n - 100. Let i(p) = n*p**3 + 25*p**3 + 30*p**3 - 2*p - 76*p**3. Let o(u) = -u**3 - u. Give -5*i(a) + 7*o(a).\nAnswer: -2*a**3 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/274659 and -109\/1872675?\nAnswer: 20599425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*o - 5*o + 4*o)*(-246 - 40*o**2 + 246 - 52*o**2) in the form h*o + x + n*o**3 + p*o**2 and give n.\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*b + 7. Let h be b*2\/6*9. Suppose -h = -f + 4. What is the greatest common factor of 26 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1362.69964 * 5\nAnswer: 6813.4982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 73 - 64 - (2 + -1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight thirds of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -679713366 divided by -1338?\nAnswer: 508007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 601193, 601195, 601197?\n\"Answer: 2*c + 601191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 8*g**2 - 9*g + 3. Let m be t(-9). Suppose 2*u + 6 = 2*p, -3*u + 5*u - 19 = -m*p. Solve 0*s + 3*s = 4*q - 23, u*s = 5*q - 20 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 - 36) + (25 - (6 + -4) - -4).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 71798.6 litres in millilitres?\nAnswer: 71798600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -20*m + 3. Let p be s(5). Let z = -13\/19 + 645\/304. Find the common denominator of z and ((-2)\/12)\/(2\/p).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - -0.5. Let d = 0.3892 - 0.0142. Let p = 0.325 - d. What is the third biggest value in 0.3, j, p, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -979968 or -36258806\/37?\nAnswer: -36258806\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -0.6 (c) -18 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 36 = 3*v, -470*p - 5*v - 93 = -471*p. Factor 216\/7*l**p + 4\/7*l**4 - 864*l + 448 + 2692\/7*l**2.\nAnswer: 4*(l - 1)**2*(l + 28)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (7 - ((-7 - -4) + (4 - 19))) + -7\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 3*l**2 + 4*l. Let n be (-5 - (-7 + -3)) + -1. Give y(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3028*y - 2048 wrt y?\nAnswer: 3028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43552 + 21499 + 36472)*(-3 + 3 - i + (2 - 1 - 2)*(-4*i + 2*i + 4*i) + i - 1 - 2*i - 1 + (3 - 5 + 3)*(-i - 1 + 1)).\nAnswer: -72095*i - 28838","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4820 + 8736. Calculate the remainder when q is divided by 70.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1475168 is divided by 471.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -504 - -506. Determine n so that -10*n**3 - 10*n**4 + 10*n**z + 7*n**3 + 4*n - n**3 = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.055 times 99\nAnswer: 5.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/10 and -1*(-13)\/(-28) - 6\/4?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, -4, -0.02, -3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -11*x**4\/6 - x**3\/6 - x**2 + 3930*x. Give q(2).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1351, 2434, 3491, 4522, 5527, 6506?\nAnswer: 7459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 431939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1989*t - 9*t**2 - 1989*t)*(0*t - 4*t - t).\nAnswer: 45*t**3 + 5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*(2\/(-130)*605\/(-726))\/((-1)\/(-4)).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 + 4 + 3 - b**2 - 2*b**2 - 4*b. Let l be s(-5). Solve 6*g - l*g = d - 5, 7 = 5*d - 2*g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -a**4\/4 - 19*a**3\/3 - 8*a**2 + 32*a + 1058. Calculate j(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/5 of a meter in millimeters?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 40817 + -4601. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, 1\/14, 0.3.\nAnswer: -74, 1\/14, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + sqrt(6) + (-4*sqrt(48))\/sqrt(8) + sqrt(6) - sqrt(6) - sqrt(150)*-1)\/((sqrt(640)\/sqrt(10) - sqrt(4))\/(-3*sqrt(18) - sqrt(2))).\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-30))\/(3885\/1850)?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.994 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 10 - f - 2 + 0*f + 0*f. Let h be k(8). Which is the smallest value? (a) -2\/3 (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 77 - 67. Let j be -9 + w + -2 + 2. Suppose -j = -3*m + 41. What is the remainder when 82 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4755878.1 minutes to days.\nAnswer: 3302.693125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**2. Let t(d) = 1279*d. Calculate y(t(v)).\nAnswer: 4907523*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3845 at most as big as -3840?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 10*z - 8. Let f be q(11). Let w(u) = f*u + 0*u + 0*u - 2*u. Let x(t) = 5*t. What is x(w(k))?\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*d**2 + 64869*d - 64869*d - 5*d**2.\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2. Let f(i) = -191543804*i. Calculate f(u(c)).\nAnswer: -191543804*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1013 - 875 = -4*r. Let m be (r + 11)*1\/((-6)\/(-4)). Let o = m + -187. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1519 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 195 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*l + 40*l + 10. Is 2 a factor of (-36 + l)*(4 - 0 - 5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 r, and 1 c when three letters picked without replacement from kmmrvrrrsscr.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -8. Suppose 5*n - 6 - 4 = 0. Find the second derivative of n*u + u**3 - 2*u + b*u wrt u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 1\/38 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.7, -1, 4, 0.07, 2\/5, -0.0939, 373?\nAnswer: 373","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -121 + -44 + 307 - 18\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-976\nAnswer: -975.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/7137 and 79\/197457?\nAnswer: 592371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1381859?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 463, -10, 2, 1, 17 in increasing order.\nAnswer: -10, -4, 1, 2, 17, 463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/(-3))\/1)\/(12\/18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41.55 - -39.55. Let a be (-3)\/63 + (-4)\/14. What is the closest to d in -0.4, a, 2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*r - 4. Let b(d) = -2*d + d + 2*d**r + d. Let o(p) be the third derivative of p**4\/12 - p**2. What is b(o(i))?\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r = -27*r + 114. Let h = r - 35. Suppose -h*f = -7*f + 13200000. What is f rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -6*b + 4. Give h(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 5*l + 9. Let o be y(5). Suppose 3052 + 13733 = o*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 17\/3 + (-8)\/12. Let p(c) = -c + 7. Let g be p(s). What is the third derivative of -2*i**4 + 0*i**4 - 4*i**2 + 6*i**g wrt i?\nAnswer: -48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 431863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.51937798 times -3\nAnswer: -1.55813394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1971 is divided by (-39 + 36 - -7)*-1*(-14)\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-10) - 132\/(-10). Let k(x) = 11 + 18*x + 2 - z + 2*x**2. Let p be k(-12). What is the greatest common divisor of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1198 by -9.\nAnswer: -1198\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 10 + 5)*(0*t - 5*t + 0*t)*(-7*t - t + 2*t).\nAnswer: -330*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -13. Let t(p) be the second derivative of p**4\/12 - p**3\/3 - 7*p**2\/2 + 5*p. Calculate the remainder when t(6) is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/70)\/(2\/(56\/30))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 2:44 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97*23 + (-4)\/((-16)\/(-12)) - -4 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 78*q - 1237. Calculate the least common multiple of 308 and l(16).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*(4 - (5 - 2)). Let q(n) = -1 + y + 2 - 6. Let m(t) = -4*t - 5. What is m(h) - 5*q(h)?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 124897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 11*l = 0. Suppose -2*n + 6 - 2 = l. Is 130\/(-13)*n\/(-4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 9 = -10. What is the remainder when 265 is divided by r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 306.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10\/19 - -1\/38. What is the closest to u in 3, 15, 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.5 (b) 12921\/4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (134\/20 - (30 + -56 + 41))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 13. Let l = -12 + 11.5. Which is the smallest value? (a) l (b) -3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 7*d**2 - 18*d + 1. What is h(4)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vevvvvvvvvvvvvvvvvv. What is prob of sequence vvv?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30795 is divided by 7 - (-17 + 32\/(-112) + (-99)\/21)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/140384 and -69\/8774.\nAnswer: 140384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(-2\/7)))**(1\/17)*(r*r\/(r*r\/r**(-1))*r)**4*(r*r\/(r**3*r)*r*r\/(r\/(r**(-6)*r)))\/(((r**(-1\/10)\/r)\/r)\/r**(-2\/25)) assuming r is positive.\nAnswer: r**(-23581\/5950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.34 + 15. Let o = 0.04 + h. Which is the smallest value? (a) -2\/3 (b) -4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3228506 is divided by 1371?\nAnswer: 1172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18\/(-15))\/(2\/(-5)). Let i = -0.55 + -4.05. Let j = i + 5.6. Sort c, j, 5\/6.\nAnswer: 5\/6, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 5368860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 4*v**2 - 4*v + 4. Let p be s(5). Let z be (-25)\/(-9) - (-2)\/p. Solve c - z*l = -4*c - 8, 0 = -4*c + 4*l for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1745.55 to the nearest 10.\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 373 - 228. Let b = 75 - o. Let v = b + 104. What is the remainder when v is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 153 + -154. Let g(w) = 4*w**3 - 5*w - 4. Let u(h) = -h**3 + h + 1. What is a*g(k) - 6*u(k)?\nAnswer: 2*k**3 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4\/3, -2423, -5\/3, 0.\nAnswer: -2423, -4, -5\/3, 0, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*d - 2*j + 53, -165 = -5*d - 3*j. Suppose -d = -5*k - 8. Suppose k*b + 45 - 135 = 0. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-39)\/(-15) - (0 - 1)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0242002 years in months?\nAnswer: 0.2904024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, i: 1, m: 4, d: 1, u: 4}. What is prob of sequence mu?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 + 30*q - 48.\nAnswer: -3*(q - 8)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 - -36. Let q = -37 + 43.2. Let c = q - n. Round c to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*n + 3*o - 8, 0 = -5*n - 2*o + 22 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*t - 470, -t + 373 = -4*q + 2309. Calculate the lowest common multiple of 24 and q.\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18538, -37057, -55566, -74059, -92530, -110973?\nAnswer: -129382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1494 divided by 6\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 0*n - 1\/2*n**2 + 1 + 1\/120*n**5 + 1\/4*n**3 - 1\/12*n**4. Let d(y) be the second derivative of u(y). Factor d(g).\nAnswer: (g - 3)*(g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 4, 19, 44, 79?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -7 - -6) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -31, -7, 2\/253, -0.3, 0.5?\nAnswer: 2\/253","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 91 - 19 = 0. Suppose -4*a = 8, 2*t - 14 = 6*t + a. What is the units digit of (-1)\/t - (-48)\/j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-26)*(-48)\/(-360)*-81*(-845)\/65?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6755)\/(-210) + 1\/(-6). Suppose -31 = -n + d. Calculate the highest common factor of n and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + 0.3. Let o = 163\/906 - 2\/151. Let h = 2.1 - 2. Which is the nearest to -0.1? (a) z (b) o (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -45248976*o**3 + 101653814?\nAnswer: -135746928*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11825 or 11826?\nAnswer: 11826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 205685 and 310.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50821*p**2 - 3951*p**2 - 26106*p**2 - 10163*p**2 + 6712*p**2.\nAnswer: -84329*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 179122 to the power of 1\/2, to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3301714*3.6\nAnswer: 11886170.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (90 + 4 - 10)*(2 + 2 - 2)*(22*o - 1955 + 2*o**2 + 1955).\nAnswer: 336*o**2 + 3696*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/12 (b) 97529 (c) 0.4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 147.696865 + -19\nAnswer: 128.696865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00078108547 to 7 decimal places.\nAnswer: -0.0007811","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31 or 55688\/1885?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 362 + -1?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13248 divided by 6624.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/6)\/(10*1\/60).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 96777174 to the nearest ten thousand.\nAnswer: 96780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*r**3 - 333382116*r**2 + 3087323090779221*r + 2058215542022646.\nAnswer: 3*(r - 18521229)**2*(3*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1324578 and 63566.\nAnswer: 1718","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(-26)*-5 - 1\/(368\/968).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 200344984 and 64?\nAnswer: 1602759872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 635348 and 4.5.\nAnswer: 635352.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 4*x**6\/15 - x**5\/10 - 2*x**4 + 11*x**3\/3 - 2*x**2 + 4*x. Determine z, given that h(z) = 0.\nAnswer: -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2140*z**3 - z**2 + 3*z - 2. Let i be 4\/18 - (-1)\/(-18)*-14. Let p be v(i). What is p rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 1242*z - 621*z - 628*z. Let q(c) = c - c - 4*c + 3*c. Calculate p(q(v)).\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (0 + 1)) + 5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5630401.475+7\nAnswer: 5630408.475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 8. Is (p + 22\/10)*5 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**3\/9 - 1276*z**2\/9 + 470654*z\/9 - 35396072\/9 = 0.\nAnswer: -916, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 0*q - 7\/20*q**4 + 79*q**2 + 0 + 2\/15*q**5 + 0*q**3 + 1\/300*q**6. Factor m(n).\nAnswer: 2*n*(n - 1)*(n + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + 10*m + m + 3*m - 18. What are the prime factors of x(5)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -5*x**3 + 6*x**2 + 11*x - 11. Let m(g) = -g**3 + g - 1. Let v(l) = 6*m(l) - q(l). Let b be v(-5). Solve -u + 1 = 0, -3*j + b*u - 7 - 1 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -217443\/32 - -6793. Calculate the common denominator of -87\/16 and y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 141 - 138. Suppose -2*z + 29 = 73. Let r = z - -111\/5. Which is the second biggest value? (a) 2\/25 (b) r (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 19 = -5*n, -11*n - 2343 = -3*d - 2356 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 3.297 (c) -192\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2140665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 16500?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 738.1002 rounded to the nearest integer?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 69\/4 + ((-5)\/25 - 1\/20)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 238 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millennium in years?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.2 times 20.9?\nAnswer: -254.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 1. Let f(y) = 2*y + 17. Let v be f(-7). Put 5, v, t in descending order.\nAnswer: 5, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 m when three letters picked without replacement from {i: 5, m: 2, d: 1, j: 5, w: 3}?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 116 = -w, 5*w - 4*x = -0*w - 637. What is the remainder when 58 is divided by (4\/5)\/((-5)\/w)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2. Suppose -4 = -2*o - q. Is o < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 + 202*i + 3805. What is z(-67)?\nAnswer: -751","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 555028 and 1.3.\nAnswer: 555029.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(58\/8 - 8\/32). Sort w, -5, -0.03, 3 in increasing order.\nAnswer: -5, w, -0.03, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/((k**(3\/7)*k*k)\/k))**(2\/15) assuming k is positive.\nAnswer: k**(22\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*x**3 + 0*x + x - 3*x**4 - 33*x**2 + 30*x**2 as b*x**2 + r*x**4 + n*x + j*x**3 + v and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 112a - -18?\nAnswer: 1142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 1, -5*c - 4*i + 6 = 0. Let h be (0 - (-5)\/(-4))\/((-21)\/(-84)). Sort 5, c, h in ascending order.\nAnswer: h, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 5*h - 501, -2*y + 0*y - 2*h + 250 = 0. Is y a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 859680000\/7*z**3 + 1028*z + 4312800\/7*z**2 - 864000000\/7*z**4 + 4\/7 = 0.\nAnswer: -1\/600, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 2*l - 10, -7 - 1 = -4*o - 4*l. Suppose 0 = -j + o. Which is smaller: 4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2\/8 - 41565*c\/8 + 41559\/4.\nAnswer: 3*(c - 13853)*(c - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 387*l**3\/2 + 190*l**2 - 789*l. What is the derivative of p(a) wrt a?\nAnswer: 1161","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffffxfxxfffxfxf. What is prob of sequence ffxf?\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*v - 2*v. Let b = -8.3 + 8. Let p = -4.3 - b. Put p, v, -1 in descending order.\nAnswer: v, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 3*g. Suppose -4*i + 3*c + 459 = g, 2*c - 455 = -4*i + c. What is the remainder when i is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 28 - 193 = 0. Let y be 1500\/(-2)*20\/m*-2200. What is y rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: a4d5 (base 16) to base 13\nAnswer: 1628c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 155, 153, 149, 143, 135?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 672 - 3348\/5. Let p be 4\/(-6) - (-8)\/3. Is p smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x = -3*y - 981, 3*x + 3*y = 4*y + 165. What is the highest common divisor of 38286 and x?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t - 7 - 4*t**2 + 3*t + 9. Let z(m) = m**2 - 5*m - 4. Let c(d) = -d**2 + 4*d + 3. Let h(a) = 4*c(a) + 3*z(a). Determine -5*h(i) + s(i).\nAnswer: i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11240627 - -4?\nAnswer: 11240632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1243 + 134?\nAnswer: 134.1243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (264*n - 115*n - 120*n)*(-5 - 2 + 2)*(3*n + n - 2*n).\nAnswer: -290*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -794437\/3 or -264811?\nAnswer: -794437\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 8*c**3 + 19*c**2 + 26*c - 5. Let p(w) = -12*w**3 - 28*w**2 - 40*w + 8. Let v(u) = -5*p(u) - 8*t(u). Let v(a) = 0. What is a?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*n - 4*n + 317 - 254 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j**3\/3 - 11*j**2\/2 - 4*j. Give w(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.324*0.5.\nAnswer: -0.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-6)*(5 - (-11)\/11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11\/(-3) - -2 - (-3)\/(-9). Let w = -9 - -14. Let r(t) = t + 0*t - w*t. Calculate r(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 21. Let m be 66\/(-60) - 4\/j. Suppose -7*n = -3*n + 4. What is the third smallest value in -2, n, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13920 and 124410.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/6*((-303)\/(-404))\/(15\/2).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3047422.\nAnswer: 2, 7, 109, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-27)\/(-15) + -2)*-5. Suppose -r - q = -3. Suppose 3*n = -4*s + 38, -3*n - r = -2*n. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**3*w + 274112212*j**3 - 2*j*w + 4199*j - w - 1 wrt j?\nAnswer: 6*j*w + 1644673272*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21435 or 21413?\nAnswer: 21435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 871112 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9521497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298*c + 15 + 183*c + 0*c**2 - 17 - 10*c**2.\nAnswer: -10*c**2 - 115*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of i**4\/8 - 7*i**3\/3 - 103*i**2. Give x(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/3))**(-18)\/(g\/((g\/(g**(2\/3)*g)*g)\/g*g))**33 assuming g is positive.\nAnswer: g**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 1 - 4 = 0. Let j(t) = -34*t + 7*t + 1 + 10*t + 14*t. Let a be j(l). Solve -b + 2 = -4*r, 2*b = r - a*r - 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 7*c**2 - 9*c - 1. Give o(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2615550376\/7 greater than -373650055?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64 + -55. Let x be (-2)\/6 - (24\/c + -3). Solve x = 3*t + 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**5\/7 - 1439*q**4\/7 - 114117*q**3\/7 - 2531637*q**2\/7 - 1600064*q\/7 + 818892\/7 = 0.\nAnswer: -387, -46, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -30*f - 2. Let y(v) = -16*v - 1. Let b(d) = 6*g(d) - 11*y(d). Give b(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-6)\/(-4))*96\/(-512).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 158775 and 75.\nAnswer: 158775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2358, -9055, -20216, -35841, -55930?\nAnswer: -80483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*u + 2676 - 2880 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2088764.59 and 183?\nAnswer: 2088947.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3067 - 28*u - 3067)*(3 - 4 - 1)*(0*u**2 + 4*u**2 - 2*u**2)*(-4*u + u - 6*u).\nAnswer: -1008*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = n + 12, -14*h + 21 = -10*h + 3*n. Let u(f) = f**2 + 2*f - 3. Let t be u(2). Sort t, -1, h in descending order.\nAnswer: t, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101110000101111000010 (base 2) to base 4\nAnswer: 11300233002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 15*w - 13. Let u(f) = -7*f + 6. Determine -13*u(z) - 6*v(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/6372 and 25\/4602.\nAnswer: 82836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 10, 2, 23, -1 in decreasing order.\nAnswer: 23, 10, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l + l**3 - l**2 - 2*l**2 + 22 - 21. Calculate h(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -4\/3 (c) -2\/5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11736.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2021 (base 3) to base 9.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 1, -2\/11 in ascending order.\nAnswer: -4, -1, -2\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(17)*4 - (sqrt(34) - sqrt(102)\/sqrt(3))\/sqrt(2).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4 = 1. Let j = n - -2. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*p - 20*p + 69. Let y(d) = 69*d - p*d + d**2. Let o(v) = 21*v**2. Calculate o(y(z)).\nAnswer: 21*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -4*h. Suppose -h = -4*o - 5*d, 3*d + d = -3*o + 1. Let z be (-45)\/(-324) + o\/4. Sort -5, z, -4\/7.\nAnswer: -5, -4\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.249577 - 1097.840423. Let p = l - -1079. Let n = -19 - p. Round n to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5317753 - 0.2?\nAnswer: -5317753.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 38 (b) -0.4 (c) 2\/19 (d) -0.5 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10402, -39885, -89024, -157819?\n\"Answer: -9828*t**2 + t - 575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, g: 4, e: 1, z: 5}. Give prob of sequence ez.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 661.495 micrograms in nanograms?\nAnswer: 661495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 60*x**2 + 32*x - 792. Is p(-58) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23\/26935, 0.2, -2\/3, 3 in decreasing order.\nAnswer: 3, 0.2, 23\/26935, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 554*k = 555*k - 3*q - 8, 5*q = -k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3365.8 + 3366. What is the nearest to i in -4, 0.4, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x**2 - 6*x - 5. Let n be k(-1). Suppose 3*b + 7 = 1. Sort b, n, 3.\nAnswer: n, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*h**3 - 17*h**3 + 224*h**3 + 57*h**3 + 103*h**3 + 228*h**3.\nAnswer: 532*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20 + (0 + 0)*1. Let f = 31 + -22. Suppose -f = -8*r + 31. Solve r*v = v - u for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -14999*o**3\/3 - 3*o**2\/2 - 37. Let k be -3*(-2)\/(1 + 1). Let m be z(k). Round m to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3563 = 4*o + 5*f, -2*o + f - 4*f = -1779. Suppose 8*r + 983 = -o. Let z = -152 - r. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or -1.68?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + m + 7, 0 = 4*a + 2*m - 17 + 7. Let w(x) = x**3 - 4*x**2 + 2. Calculate the smallest common multiple of 6 and w(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 290 and 1682?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8877*o**5 + 221*o**4 - o**3 - 12*o**2 - 1974*o - 1 wrt o?\nAnswer: 532620*o**2 + 5304*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*v = -16. Let g = -6 + v. What is the units digit of 10\/3*(-3)\/g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078555937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 1046881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -113 + 116. Let y(w) = 5*w**3 - 15*w**2 - 30*w + 6. Let b(s) = s**3 - 3*s**2 - 6*s + 1. Let a(l) = -11*b(l) + 2*y(l). Is 4 a factor of a(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -4\/14631 - -55306\/121925. Let l = -8\/447 - 3301\/1490. Find the common denominator of n and l.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -140058\nAnswer: -1\/70029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4874070 to the power of 1\/3, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.3 - -1.1. Round p to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/19 in -0.2, 0.3, -0.3, -32.427?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226356 is divided by 1513?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.17 times 0.11\nAnswer: -0.0187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9581.019 kilometers in centimeters?\nAnswer: 958101900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 7\/72*r**4 + 0*r + 2*r**2 - 7\/360*r**6 - 1\/90*r**5 + 1\/9*r**3 + 3. Let w(a) be the second derivative of g(a). Factor w(p).\nAnswer: -(p - 1)*(p + 1)*(7*p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2424 (base 7) in base 8?\nAnswer: -1604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhmmhhwwlnwmdhhnh. Give prob of picking 1 l, 1 m, and 1 n.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - 3*k**2 - k**2)*(-1220 + 43*k + 1220 + 6 - 6 + k + (1 + 1 - 1)*(0*k + 2*k - 4*k) - 2*k - 2*k + 2*k + 3 - 3 - 2*k).\nAnswer: -76*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/94 and 2\/(-20)*(-2725)\/30.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(5\/3)*b*b\/(b**(-2\/7)*b*b)*b assuming b is positive.\nAnswer: b**(83\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -13987059 divided by 297597\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 512 - 997. Let c = -336 - o. 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 picking 1 g and 1 e when two letters picked without replacement from geejemoe?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 5)*(4*l + 6*l - 12*l - 23) + 3*l + 5*l - 3*l.\nAnswer: 11*l + 69","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0*n = 0. Suppose 4*d - 2*d - z + 801 = n, 4*z = -5*d - 1996. What is d rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 13. Let n be c(8). What is the third derivative of -4*a**2 - 4*a**2 - 14*a**5 + 6*a**n wrt a?\nAnswer: -480*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 11:30 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -8, 0, -5, 610 in descending order.\nAnswer: 610, 1, 0, -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -15946 != -15946?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-28))\/c**(-19\/3))**11)**31 assuming c is positive.\nAnswer: c**(36146\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*j - 9. Solve 4*k = j*t - 11 - 10, 0 = -3*t + 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/52*(-307080)\/(-5118).\nAnswer: -15\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -86 - -48. Let k = -25 - a. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88965 (base 11) in base 5?\nAnswer: 13111221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/4 - 2 - 2\/(-4). Suppose -6486 = -2*d - w*d + 4*p, 0 = 4*d - 2*p - 12996. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1591*l + 1644*l - 106 = 0. Solve 25*z - 207 = l*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/380953 and -35\/7798332.\nAnswer: 132571644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o + 69*o = -30*o + 28*o - 7480 for o.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-208)\/(-28))\/(-4) - -2. Suppose -f = -5*f - 12, 2*f = b - 20. Suppose -3*l - 5 + b = 0. What is the third biggest value in l, -3, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -12, 207, 1, -1, 2, -14 in decreasing order.\nAnswer: 207, 2, 1, -1, -3, -12, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1366444425.\nAnswer: 3, 5, 59, 308801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 197 + -195. Which is the nearest to -3? (a) 1\/6 (b) 8 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m**2. Let f(o) = 14663*o. Give f(a(k)).\nAnswer: -43989*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/8 (b) -15\/4 (c) 0.04 (d) 1 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(3) + -5 + (sqrt(3) + sqrt(6)\/sqrt(2))**2 + -4 + (1*sqrt(9)\/sqrt(3)*-5)**2.\nAnswer: sqrt(3) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**2 + 3*q + 4. Give n(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x + 5. Let s(m) = -m**3 - 2*m**2 + m. Let b be s(-2). Suppose -u + 10 = 4*u. Let h be b - (u - (2 - 3)). Give g(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -167.6 - -183. Let y = s + -15. Which is the nearest to 1? (a) y (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 66457795*l**2 - 134594249*l.\nAnswer: 132915590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -8*a. Let s(f) be the second derivative of -25*f**4\/4 + 411*f. Give s(n(d)).\nAnswer: -4800*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4540 + -2997. What are the prime factors of w?\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3071?\nAnswer: 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -16*p**3\/3 - 60*p**2 - 225*p - 3221. Suppose d(g) = 0. Calculate g.\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -11*d**2 + 1. Let u = 27 - 26. Suppose 0 = q - u. Calculate v(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 42*h + 68. Give v(-3).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 8*u**2 - 4*u + 4. Suppose 3*t - 4*t = -9. Suppose i - 32 - t = 5*o, -3*o - i = 23. What are the prime factors of n(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 - 2*c + 1. Let g(q) = q**3 + 7*q**2 - 7*q + 3. Give -21*b(y) + 6*g(y).\nAnswer: 6*y**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m - 156 = 14. What is the smallest common multiple of m and 304?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}